APPARATUS AND METHOD FOR CALCULATING REMAINDER
The present invention refers to remaining of processing of the method is provided to device and, more particularly any of two integral numbers (Prime number) are hydrophobicized result subtractions hardware onto the wavelength over the remainder for a shifter shifts the output, and calculating the remaining relates to method and device. Existing arithmetic logic device (ALU) has an adder (Adder) as well as and adding operation based on, subtracting variety of arithmetic of calculating an exclusive or and, restores a result which an variety of perform a logic operation of wet liquid to flow down. One from the, addressing during copy-back operation detect overflow and to perform a multiplication of a number corresponding to the number of other number some the backscattered meaning jacket dividing into a multiple, preparation or divider is bonded. At this time, divided and applied to the of a 64-bit dividend, divisor number dividing into a multiple, quotient answer, and the residual not evenly divisible (Remainder) him a remaining number. Indicated by the divisor a of a 64-bit dividend translates the a divided agent of dividing a the bottom, of a 64-bit dividend divisor in containing indicating whether includes how is divided zero. Supposition law distributed division generally is divided by the barrier rib a÷b÷c=a÷c÷b=a÷(b×c) and a satisfied, a charge amount, also established a a÷b=(a×c) ÷ (b×c)=(a ÷c) ÷ (b÷c). Furthermore, of a 64-bit dividend and divisor to is 0 ÷a= 0 (a≠ 0) when there is 0,0÷0 share of a as, , is disabled for a a ÷0. Call Public Patent Notification 10-1997-0059919 25th which include prior art associated with the present invention (12 August 1997 disclosure, title of the invention: method and circuit for computing the remainder).. Minority (Prime number) evenly divisible only itself and the 1 a positive integer equal to or greater than 1 and mixture by the addition of an initiator, 2, 3, 5, 7, 11, 13, 17, 19 corresponding to the a and the like. At this time, minority value less than respect to any two integral numbers, the wavelength over the are hydrophobicized result subtractions of two integral numbers to calculate on the remainder when 0 result subtractions of two integral numbers less than 0 and a length different from each operation if process. hereinafter one another. Therefore, conventional result subtractions of two integral numbers is adaptable the wavelength over the are hydrophobicized when to calculate on the remainder, any of two integral numbers determines first magnitude relation according to the judgment result remainder in different ways in and pinion gear to have operation. Conventional and is adaptable according to as a result first and first two integral numbers any manner to calculate on the remainder having a selected determines whether to signals to the should be a first, calculation result are derived is positioned been shortened same there is a need. According to need to the present invention refers to aforementioned as is, any of two integral numbers (Prime number) are hydrophobicized result subtractions hardware onto the wavelength over the remainder for connected to the secondary side of the, remaining of processing of the method and device provides heat exchanger.. Of processing of the remaining according to one aspect of the present invention a device (Prime number) are hydrophobicized result subtractions of two integral numbers the wavelength over the remaining of processing of the in device, receiving a high constant integer number 1 and number 2 n bit binary number 1 a is converted into the binary number 2 and number 1 conversion unit, number 2 conversion unit; said number 2 binary processing repair binary 1 and a summing binary said number 1 and number 1 for preventing reading of program ROM and part; said number 2 binary and minority said reference determined by and/or corresponding to adding up integer number 2 for preventing reading of program ROM and part; the added part for preventing reading of program ROM and said number 2 binary processing repair result summing a binary said number 1 and number 3 for preventing reading of program ROM and part 1 and; and said number 1 integer based on STW of a right-sided inclination of an integer number 2 and said number 1 for preventing reading of program ROM and part the added result or said number 3 for preventing reading of program ROM and of selecting one of summation result is, if the flow is greater than the integer said number 2 said number 1 integer included in a result of a the added part for preventing reading of program ROM and said number 1 a n bit binary number, said number 1 number 2 of an integer subtractions result are hydrophobicized integer and the wavelength over the remaining deciding comprises a counter 14 for outputting. The present invention refers to said number 2 binary number 1 through the second path and repair repair processing the added part for preventing reading of program ROM and said number 2 number 2 processing repair result repair processing unit characterized in that further including. Said prime in the present invention said reference code 2n-t t when expressed as is characterised in that it has a is set to. Said number 1 the control unit in the present invention said said number 2 integer integer if less than a included in a result of a the added part for preventing reading of program ROM and said number 3 n bit binary integer said number 1 number 2 and remaining the wavelength over the are hydrophobicized difference of an integer deciding characterized in that. The added part for preventing reading of program ROM and said number 1 in the present invention said control unit a included in a result of a back 1 is numbered bits (n+1) integer said number 1 judges whether said number 2 integer or more, a included in a result of a summed said 0 is numbered bits (n+1) back said number 1 integer less than said number 2 judges that the integer is characterised in that it has a. The present invention refers to said control by said number 1 number 2 and integer difference of an integer determined the rest the wavelength over the are hydrophobicized fills the rest upper digits of binary number 3 conversion unit for translating a; and between the converter and the number 3 to be converted, an emission unit fills the rest upper digits of characterized in that further including. Method of processing of the remaining according to one aspect of the present invention the of two integral numbers (Prime number) are hydrophobicized result subtracting the wavelength over the remaining of processing of the method in, number 1 conversion unit, and number 2 converter receiving a high constant integer number 1 and number 2 n bit binary number 1 number 2 and converting binary; said number 2 is for preventing reading of program ROM and number 1 binary processing repair binary summing a binary said number 1 and 1 and; said number 2 is for preventing reading of program ROM and number 2 binary and minority said integer reference determined by and/or corresponding to adding up step; the added part for preventing reading of program ROM and said number 2 number 3 for preventing reading of program ROM and is binary processing repair result summing a binary and said number 1 and 1 ; and control unit of an integer integer said number 1 number 2 and said number 1 number 2 and integer based on STW of a right-sided inclination of an integer subtractions result are hydrophobicized the wavelength over the as a reference for deciding the result includes, said number 2 integer said integer said number 1 the control unit if the flow is greater than the a included in a result of a the added part for preventing reading of program ROM and said number 88 80000305888 n bit binary, said number 1 number 2 of an integer subtractions result are hydrophobicized integer and the wavelength over the remaining deciding characterized in that. Integer and difference are hydrophobicized of an integer of the present invention said number 1 number 2 the wavelength over the reference for deciding the result at the upper part of the base, said number 1 the control unit said number 2 integer said integer if less than a included in a result of a the added part for preventing reading of program ROM and said number 3 n bit binary integer said number 1 number 2 and remaining the wavelength over the are hydrophobicized difference of an integer deciding characterized in that. Of the present invention said number 2 binary and said minority determined by and/or corresponding to reference integer is summed at the upper part of the base, said prime said reference code 2n-t t when expressed as is characterised in that it has a is set to. Integer of the present invention said number 1 number 2 and the wavelength over the are hydrophobicized result subtractions of an integer remainder determined, said control unit a included in a result of a the added part for preventing reading of program ROM and said number 1 (n+1) integer 1 is numbered bits back said number 1 judges whether said number 2 integer or more, a included in a result of a summed said 0 is numbered bits (n+1) back said number 1 integer less than said number 2 judges that the integer is characterised in that it has a. The present invention refers to said number 1 number 2 and integer of an integer subtractions result are hydrophobicized after determining the wavelength over the remainder, integer said number 1 number 2 and number 3 converter of an integer subtractions result determined the rest the wavelength over the are hydrophobicized fills the rest upper digits of binary a step of converting; and an output portion is said to be converted including further a fills the rest upper digits of characterized in that. According to the present invention, regardless of the magnitude relation of two integral numbers plurality of addition result subtractions of two integral numbers by means of separated remainder the wavelength over the are hydrophobicized calculating and, later of two integral numbers depending on the relation in size between the wavelength over the are hydrophobicized result subtractions of two integral numbers by determining the remainder to calculate on the remainder faster than.. In addition the present invention refers to a included in a result of a summed most significant bit of the identifying magnitude relation of two integral numbers simply manner may determine the. Figure 1 shows a one embodiment of the present invention also: an remaining of processing of the blocks of device is configured. Also Figure 2 shows a one embodiment of the present invention: an remaining of processing of the implementation of method is flow procedures described process. Hereinafter one embodiment of the present invention in:an remaining of processing of the drawing device and a attached to the method in reference to. rapidly and to reduce a memory. During this process drawing or components thickness of the line shown in of sizes, etc. for the sake of convenience and intelligibility of the description is illustrated exaggerated may be proposed. Furthermore, function in a the present invention refers to a terms are terms is defined in consideration of the user that is, operating's intended can be changed as usual or. Therefore, such the present definitions for terms throughout the specification based on recorded contents of. to be lowered. Figure 1 shows a one embodiment of the present invention also: an remaining of processing of the blocks of device is configured. Also 1 with a one of the present invention of processing of the remaining: an embodiment a device number 1 conversion unit (10), number 2 conversion unit (20), number 1 for preventing reading of program ROM and part (40), number 2 for preventing reading of program ROM and part (50), number 3 for preventing reading of program ROM and part (60) and the control unit (70) includes. Specifically, the present in the embodiment in two integral numbers of subtractions result (U, V) for the voltage variations to compute the remaining the wavelength over the (Prime number) are hydrophobicized is, the relation of the minority and two integral numbers as 1 of equations below. I.e., the present in the embodiment respectively high minority less than the wavelength over the are hydrophobicized result subtractions of two integral numbers remainder in order manner as the calculator simple, number 1 conversion unit (10) and a number 2 conversion unit (20) the integer number 1 number 2 and receiving a high constant n bit binary number 1 and number 2 converts binary. The present in the embodiment a, and a semantic bit as a non-setup n in n of set bit bit and at means to, supply, which can be numbered bits n first bits, first bit a 20 n corresponds to a numbered bits 2n-1 corresponding to defined which to a. Furthermore, integer integer number 1 and number 2, an input binary binary number 1 or number 2 and so that a lower interconnection is formed by a value which is determined freely according to 1 or 2 in the simply identifier to differentiate two integral numbers the composition can be taken 2 -.. In integer number 1 number 2 in hereinafter can subtracted by the integer and calculating the remaining the wavelength over the are hydrophobicized when to illustrate the time as large as that of for example. Minority a 1 and itself evenly divisible only a positive integer equal to or greater than 1 because the 2n-t and a may be from, minority according to t and n is determined to a value which is the other, the hand of the. And, establishing an optical fiber at a side and integer number 1 number 2 integer less than a few signals to the home integer, number 1 conversion unit (10) and a number 2 conversion unit (20) by converting the binary number 1 number 2 and a small number of number of bits (n+1) to binary of bits register has a bit matched with a small bit than n bit has a value in the range from. Number 1 for preventing reading of program ROM and part (40) the number 2 and binary processing repair binary 1 and summing and binary number 1, number 2 for preventing reading of program ROM and part (50) to hydrophobically interact with the binary number 2 reference determined by and/or corresponding to sums the constant, number 3 for preventing reading of program ROM and part (60) the number 2 for preventing reading of program ROM and part (50) and binary processing the added repair result 1 and summing the binary number 1. At this time, the n bit repair processing data of each bit of a binary is represented by 0 or 1. provide the means by which is reversed at every time. Partitioning divided into macroblocks and a certain number for the voltage variations to compute the remaining when these supports divided a process for the is is of a 64-bit dividend since depends on whether, simplify a hardware construction positive integer integer, and the negative-when a moment when a time as large as that of the terminal in an active review. First integer or more integer number 1 number 2, i.e. when the positive integer simplify a hardware construction, such as below 2 of equations. a business relationship. Thus "2n + integer number 2 integer-number 1" of a 64-bit dividend a remainder the wavelength over the prime on which it is, after operation 2n may removing the same remaining result may yield an. At this time, the present in the embodiment in calculating the final remainder in the form binary 2n (n+1) the removing, disregarding the numbered bits, first bit from up to n numbered bits is the meaning separation value. And the aforementioned "2n + integer-number 1 number 2 integer" underlying of equations can exhibit, such as 3. At this time, the number 2 "-number 2 integer" converted integer includes treating the repair binary number 2.. Expressions as demonstrated 3 integer number 1 number 2 integer in case, of an integer subtractions result are hydrophobicized integer number 1 number 2 and the wavelength over the remainder number 2 binary processing repair binary 1 and binary number 1 and calculated the type that makes summing can be confirm that the user. Therefore, the present in the embodiment number 1 for preventing reading of program ROM and part in (40) the number 2 and binary processing repair binary binary number 1 refers to easily add up a 1 and control unit (70) and, control unit (70) the number 1 number 2 integer integer in case number 1 for preventing reading of program ROM and part (40) and the added result of an integer subtractions result are hydrophobicized integer number 1 number 2 the wavelength over the remaining to print images can be. Next, integer integer less than number 1 number 2, when the is integer number of is voice of a 64-bit dividend i.e., integer number 1 number 2 and the wavelength over the remainder of an integer difference are hydrophobicized "minority + number 1 integer-number 2 integer" is. The same 4 of equations below changes a can exhibit such as a. I.e., integer number 1 number 2 integer less than number 2 and integer number 1 when the wavelength over the are hydrophobicized result of an integer subtractions binary number 2 remainder t and repair result is summed binary processing binary number 1 and 1 and calculated the type that makes summing can be confirm that the user. Therefore, the present in the embodiment number 2 for preventing reading of program ROM and part in (50) first controls the number 2 to hydrophobically interact with binary t determined by and/or corresponding to and is summed, number 3 for preventing reading of program ROM and part (60) the number 2 for preventing reading of program ROM and part (50) the added repair result 1 and binary number 1 and binary processing easily add up a control unit (70) and, control unit (70) less than the integer number 1 number 2 when integer number 3 for preventing reading of program ROM and part (60) and the added result of an integer subtractions result are hydrophobicized integer number 1 number 2 the wavelength over the remaining to print images can be. Establishing an optical fiber at a side, the present in the embodiment of an integer subtractions result in integer number 1 number 2 and the wavelength over the are hydrophobicized remainder part of addition is a separate unit which is in positioned parallel (40 to 60) through calculating the final, integer number 1 and number 2 can be know magnitude relation of an integer if corresponding integer number 1 and number 2 of which summed with a summer to result is the wavelength over the are hydrophobicized of an integer subtractions result is output to the remaining to can be. And, establishing an optical fiber at a side is prevented integer integer number 1 number 2 2n signals to the summing, number 1 for preventing reading of program ROM and part (40) the added (n+1) results. or presented as a 1 is numbered bits. In the embodiment if in control unit (70) the number 1 for preventing reading of program ROM and part (40) a included in a result of a the added (n+1) back 1 is numbered bits integer number 1 number 2 judges whether or more integer, integer number 1 number 2 back 0 is numbered bits (n+1) integer less than. parallel parking operation can be judged. I.e., the present in the embodiment without a discrete time oscillator generates a specific op process complex, number 1 for preventing reading of program ROM and part (40) bit included in a result of a the added identifying a simple manner by means of integer number 1 and number 2 is decided by using a STW of a right-sided inclination of an integer since quickly to integer number 1 number 2 and the wavelength over the are hydrophobicized result of an integer subtractions to calculate on the remainder.. And, number 1 number 2 integer not and in case it is judged or more integer number 1 for preventing reading of program ROM and part (40) a included in a result of a the added bit binary n, integer number 1 number 2 and the wavelength over the are hydrophobicized result of an integer subtractions can be determining the rest. While, integer number 1 number 2 not and in case it is judged less than integer number 3 for preventing reading of program ROM and part (60) a included in a result of a the added n bit binary integer number 1 number 2 and the wavelength over the are hydrophobicized result of an integer subtractions can be determining the rest. The present in the embodiment the aforementioned in processing and's complement binary number 2, number 2 for preventing reading of program ROM and part (50) the added result's complement, for performing processing on a plurality of repair processing unit (90,100) may comprise an. Specifically number 1 repair processing unit (90) processing repair binary the number 2, number 2 repair processing unit (100) the number 2 for preventing reading of program ROM and part (50) treating a repair result the added. In particular, the present embodiment: an number 1 repair processing unit (90) and number 2 repair processing unit (100) has door 1 as shown in may be comprised of inverter the LR is not limited to repair binary since any processing may comprise a is configured is. In the embodiment the present in addition in binary for translating a fills the rest upper digits of number 3 conversion unit (30) and calculation result, an emission unit (80) may include further. I.e., number 3 conversion unit (30) a control portion (70) which the analog channels determined in the integer number 1 number 2 and the wavelength over the are hydrophobicized result subtractions of an integer remainder recognize the corpus receiving converted into the commercial power, output (80) the number 3 conversion unit (30) is converted in the commercial power 10, and outputs it as a. Also Figure 2 shows a one embodiment of the present invention: an remaining of processing of the implementation of method is flow procedures described process. Also 2 according to one embodiment of the present invention by referring to the rest of processing of the surfaces of a process implementation of method, first number 1 conversion unit (10) and a number 2 conversion unit (20) the integer number 1 number 2 and receiving a high constant n bit binary number 1 and number 2 (S10) converts binary. And number 1 for preventing reading of program ROM and part (40) the number 1 repair processing unit (90) through the binary processing and repair binary number 2,1 and summing the binary number 1 (S20). Then part for preventing reading of program ROM and number 2 (50) the predefined criterion and binary number 2 (t) integer (S30) and is summed, number 3 for preventing reading of program ROM and part (60) the number 2 repair processing unit (100) through the part for preventing reading of program ROM and number 2 (50) the added number 1 and binary processing repair result summing the binary and 1 (S40). Next, control unit (70) the number 1 and number 2 based on STW of a right-sided inclination of an integer integer integer (S50) number 1 number 2 and the wavelength over the are hydrophobicized result of an integer subtractions and decides the remainder. Establishing an optical fiber at a side, the present in the embodiment of an integer subtractions result in integer number 1 number 2 and the wavelength over the are hydrophobicized remainder part of addition is a separate unit which is in positioned parallel (40 to 60) through operation since (S20 to S40), integer number 1 and number 2 can be know magnitude relation of an integer if corresponding integer number 1 and number 2 of which summed with a summer to result is the wavelength over the remaining of an integer subtractions result are hydrophobicized can be determines that the base station. Specifically if the flow is greater than the integer number 2 integer number 1 control unit (70) the number 1 for preventing reading of program ROM and part (40) a included in a result of a the added bit binary n, integer number 1 and number 2 of an integer subtractions result and decides the rest the wavelength over the are hydrophobicized (S60). While integer number 1 number 2 integer if less than control unit (70) the number 3 for preventing reading of program ROM and part (60) a included in a result of a the added bit binary n, integer number 1 and number 2 of an integer subtractions result and decides the rest the wavelength over the are hydrophobicized (S62). Integer number 1 in the embodiment comprises the processes of forming a cut in of an integer number 2 and depending on the relation in size between in different ways in performs for simply operating, integer number 1 number 2 and reflect magnitude relation of an integer number 1 number 2 and integer calculation result is the result of an integer subtractions determines whether remaining the wavelength over the are hydrophobicized.. Then number 3 conversion unit (30) the integer number 1 and number 2 of an integer subtractions result determined the rest the wavelength over the are hydrophobicized fills the rest upper digits of binary converted into (S70), output (80) the commercial power converted item is selected integer number 1 and number 2 of an integer remainder the wavelength over the are hydrophobicized difference b-a outputs a relay driving signal.. According to the present embodiment, regardless of the magnitude relation of two integral numbers plurality of addition result subtractions of two integral numbers by means of separated remainder the wavelength over the are hydrophobicized calculating and, later of two integral numbers depending on the relation in size between the wavelength over the are hydrophobicized result subtractions of two integral numbers by determining the remainder to calculate on the remainder faster than.. In addition the present embodiment a included in a result of a summed relate most significant bit of the identifying magnitude relation of two integral numbers simply manner may determine the. Shown in the present invention refers to drawing with reference to thereby, the cold air flows but described embodiment, is an exemplary which purpose: to avoid a typically encountered in is in the field of the state of the art having knowledge of various modifications therefrom grow for other and equalization embodiment styles are discussed that will understand. Therefore, technical true scope of protection of the present invention is decided by the claim below will should be. 10: number 1 conversion unit 20: number 2 conversion unit 30: number 3 conversion unit 40: number 1 for preventing reading of program ROM and part 50: number 2 for preventing reading of program ROM and part 60: number 3 for preventing reading of program ROM and part 70: control unit 80: output 90: number 1 repair processing unit 100: number 2 repair processing unit The present invention relates to an apparatus for calculating a remainder. The apparatus, which calculates the remainder of dividing the result of a subtraction of two integers by a prime number, comprise first and second conversion units, a first addition unit, a second addition unit, a third addition unit, and a control unit. The first and second conversion units receive inputs of first and second integers and convert the first and second integers into first and second binary numbers having n bits, respectively. The first addition unit sums a binary complement of the second binary number, the first binary number and 1. The second addition unit sums reference integers determined in accordance with the second binary number and prime number. The third addition unit sums a binary complement of the resulting sum of the second addition unit, the first binary number and 1. The control unit selects one of the resulting sum of the first addition unit and the resulting sum of the third addition unit on the basis of the size of first integer and second integer. If the first integer is equal to or greater than the second integer, the control units determines the binary number having n bits contained in the resulting sum of the first addition unit as the remainder of dividing the result of the subtraction of the first and second integers by the prime number. COPYRIGHT KIPO 2016 Of two integral numbers (Prime number) are hydrophobicized result subtracting the wavelength over the remaining of processing of the in device, receiving a high constant integer number 1 and number 2 n bit binary number 1 a is converted into the binary number 2 and number 1 conversion unit, number 2 conversion unit; said number 2 binary processing repair binary 1 and a summing binary said number 1 and number 1 for preventing reading of program ROM and part; said number 2 binary and minority said reference determined by and/or corresponding to adding up integer number 2 for preventing reading of program ROM and part; the added part for preventing reading of program ROM and said number 2 binary processing repair result summing a binary said number 1 and number 3 for preventing reading of program ROM and part 1 and; and said number 1 integer based on STW of a right-sided inclination of an integer number 2 and said number 1 for preventing reading of program ROM and part the added result or said number 3 for preventing reading of program ROM and of selecting one of summation result is, if the flow is greater than the integer said number 2 said number 1 integer included in a result of a the added part for preventing reading of program ROM and said number 1 a n bit binary, said number 1 number 2 subtracting scores [...] subtractions result are hydrophobicized integer and the wavelength over the remaining deciding device and calculating the remaining including control unit. According to Claim 1, said number 2 binary number 1 repair processing the added part for preventing reading of program ROM and said number 2 through the second path and repair repair processing result including to further processing unit repair number 2 characterized by remaining of processing of the device. According to Claim 1, said prime said reference code 2n-t t when expressed as to a junction between the device and calculating the remaining characterized by. According to Claim 1, said number 1 the control unit said number 2 integer said integer if less than a included in a result of a the added part for preventing reading of program ROM and said number 3 n bit binary integer said number 1 the wavelength over the are hydrophobicized difference of an integer number 2 and remaining deciding device and calculating the remaining characterized by. According to Claim 1, said control unit a included in a result of a the added part for preventing reading of program ROM and said number 1 (n+1) integer 1 is numbered bits back said number 1 judges whether said number 2 integer or more, said a included in a result of a summed back said number 1 0 is numbered bits (n+1) said number 2 integer integer less than characterized by determining to remaining of processing of the device. According to Claim 1, said control by said number 1 number 2 and integer difference of an integer determined the rest the wavelength over the are hydrophobicized fills the rest upper digits of binary number 3 conversion unit for translating a; and between the converter and the number 3 to be converted including further, an emission unit fills the rest upper digits of to characterized by remaining of processing of the device. (Prime number) are hydrophobicized result subtractions of two integral numbers of processing of the method the wavelength over the remaining in, number 1 conversion unit, and number 2 converter receiving a high constant integer number 1 and number 2 n bit binary number 1 number 2 and converting binary; said number 2 is for preventing reading of program ROM and number 1 binary processing repair binary summing a binary said number 1 and 1 and; said number 2 is for preventing reading of program ROM and number 2 binary and minority said integer reference determined by and/or corresponding to adding up step; the added part for preventing reading of program ROM and said number 2 number 3 for preventing reading of program ROM and is binary processing repair result summing a binary and said number 1 and 1 ; and control unit of an integer integer said number 1 number 2 and said number 1 number 2 and integer based on STW of a right-sided inclination of an integer subtractions result are hydrophobicized the wavelength over the as a reference for deciding the result includes, said number 2 integer said integer said number 1 the control unit if the flow is greater than the a included in a result of a the added part for preventing reading of program ROM and said number 1 n bit binary, said number 1 number 2 of an integer subtractions result are hydrophobicized integer and the wavelength over the remaining deciding method of processing of the remaining characterized by. According to Claim 7, said number 1 number 2 of an integer subtractions result are hydrophobicized integer and the wavelength over the reference for deciding the result at the upper part of the base, said number 1 the control unit said number 2 integer said integer if less than a included in a result of a the added part for preventing reading of program ROM and said number 3 n bit binary integer said number 1 and number 2 of an integer subtractions result are hydrophobicized the wavelength over the remaining deciding method of processing of the remaining characterized by. According to Claim 7, said number 2 binary and said minority determined by and/or corresponding to reference integer is summed at the upper part of the base, said prime said reference code 2n-t t when expressed as to a junction between the method of processing of the remaining characterized by. According to Claim 7, said number 1 number 2 of an integer subtractions result are hydrophobicized integer and the wavelength over the remainder determined, said control unit a included in a result of a the added part for preventing reading of program ROM and said number 1 (n+1) integer 1 is numbered bits back said number 1 judges whether said number 2 integer or more, said a included in a result of a summed back said number 1 0 is numbered bits (n+1) said number 2 integer integer less than characterized by determining to remaining of processing of the method. According to Claim 1, said number 1 number 2 and integer of an integer subtractions result are hydrophobicized after determining the wavelength over the remainder, integer said number 1 number 2 and number 3 converter of an integer subtractions result determined the rest the wavelength over the are hydrophobicized fills the rest upper digits of binary a step of converting; and an output portion is said to be converted including further a fills the rest upper digits of to characterized by remaining of processing of the method.