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- Understanding The Modulus Operator % - Stack Overflow
% is called the modulo operation For instance, 9 divided by 4 equals 2 but it remains 1 Here, 9 4 = 2 and 9 % 4 = 1 In your example: 5 divided by 7 gives 0 but it remains 5 (5 % 7 == 5) Calculation The modulo operation can be calculated using this equation: a % b = a - floor(a b) * b floor(a b) represents the number of times you can
- How to calculate a Modulo? - Mathematics Stack Exchange
The result of 10 modulo 5 is 0 because the remainder of 10 5 is 0 The result of 7 modulo 5 is 2 because the remainder of 7 5 is 2 The reason your calculator says 113 modulo 120 = 113 is because 113 < 120, so it isn't doing any division More generally, the idea is that two numbers are congruent if they are the same modulo a given number
- How does the % operator (modulo, remainder) work?
You can think of the modulus operator as giving you a remainder count % 6 divides 6 out of count as many times as it can and gives you a remainder from 0 to 5 (These are all the possible remainders because you already divided out 6 as many times as you can)
- How does a modulo operation work when the first number is smaller . . .
Modulo inherently produces an integer result, whereas division can be an integer or floating point operation Your observation that 2 5 equals 0 4 indicates you're thinking in terms of floating point In that case, the 4 itself is the remainder, expressed differently The integral portion of "0 4" is the "0" and the remainder portion is " 4"
- c - Modulo operation with negative numbers - Stack Overflow
The % operator in C is not the modulo operator but the remainder operator Modulo and remainder operators differ with respect to negative values With a remainder operator, the sign of the result is the same as the sign of the dividend (numerator) while with a modulo operator the sign of the result is the same as the divisor (denominator)
- math - Modulo in order of operation - Stack Overflow
The modulo operator %, as used in many computer programming languages, is not common in pure mathematics So it is rather a question of how the operator is treated in programming languages, and this differ between different langauges
- modulo - How to use mod operator in bash? - Stack Overflow
If someone needs this for mathematical operations, note that modulo operation with negative numbers in bash returns only remainder, not mathematical modulo result This means, that while mathematically -12 mod 10 is 8, bash will calculate it as -2
- Better ways to implement a modulo operation (algorithm question)
Doing the modulo at each step will also reduce the overall size of your multiplier (same length as input rather than double) The shifting of the modulus you're doing is getting you most of the way towards a full division algorithm (modulo is just taking the remainder) EDIT Here is my implementation in Python:
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