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A single program deck, with individual subroutines marked. The markings show the effects of editing, as cards are replaced or reordered. Many early programming languages, including FORTRAN, COBOL and the various IBM assembler languages, used only the first 72 columns of a card – a tradition that traces back to the IBM 711 card reader used on the IBM 704/709/7090/7094 series (especially the ...
Implements the mathematical modulo operator. The returned result is always of the same sign as the modulus or nul, and its absolute value is lower than the absolute value of the modulus . However, this template returns 0 if the modulus is nul (this template should never return a division by zero error).
A punched card (also punch card [1] or punched-card [2]) is a piece of card stock that stores digital data using punched holes. Punched cards were once common in data processing and the control of automated machines .
A computer punched card reader or just computer card reader is a computer input device used to read computer programs in either source or executable form and data from punched cards. A computer card punch is a computer output device that punches holes in cards. Sometimes computer punch card readers were combined with computer card punches and ...
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.
Implements the mathematical modulo operator. The returned result is always of the same sign as the modulus or nul, and its absolute value is lower than the absolute value of the modulus . However, this template returns 0 if the modulus is nul (this template should never return a division by zero error).
One disadvantage of a prime modulus is that the modular reduction requires a double-width product and an explicit reduction step. Often a prime just less than a power of 2 is used (the Mersenne primes 2 31 −1 and 2 61 −1 are popular), so that the reduction modulo m = 2 e − d can be computed as (ax mod 2 e) + d ⌊ ax/2 e ⌋.
[1]: 41–43 This allows it to function as a card reader and a card punch. As a program can issue a Write Card instruction to print on the card after reading card data with a Read Primary Card or Read Secondary Card instruction, it can also, under program control, function as an interpreter and, as a program can issue a Primary Card Stacker ...