WebIn mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus.The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801.. A familiar use of modular arithmetic is in the 12-hour … WebNov 11, 2024 · This video teaches simple steps of finding remainder in modular arithmetic About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How …
Modular Arithmetic: Examples & Practice Problems
WebOct 16, 2024 · find remainder using modulo arithmetic modular-arithmetic 10,200 55 ≡ 3 ( mod 13) 55 3 ≡ 3 3 = 27 ≡ 1 ( mod 13) Method 1: As the highest power of 11 in 55 is 1, let us find 55 141 ( mod 13) 55 141 = ( 55 3) 47 ≡ 1 47 ≡ 1 ( mod 13) = 13 c + 1 where c is an integer 55 142 = 55 ⋅ 55 141 = 55 ( 1 + 13 c) ≡ 55 ( mod 13 ⋅ 55) ≡ 55 ( mod 13 ⋅ 11) WebModular arithmetic is a special type of arithmetic that involves only integers. This goal of this article is to explain the basics of modular arithmetic while presenting a progression of more difficult and more … sdsu educational opportunity program
Modular Arithmetic - GeeksforGeeks
WebModulo operations might be implemented such that a division with a remainder is calculated each time. For special cases, on some hardware, faster alternatives exist. For example, the modulo of powers of 2 can alternatively be expressed as a bitwise AND operation (assuming x is a positive integer, or using a non-truncating definition): WebFind the remainder after division by a negative divisor for a set of integers including both positive and negative values. Note that nonzero results are always negative if the divisor is negative. a = [-4 -1 7 9]; m = -3; b = mod (a,m) b = 1×4 -1 -1 -2 0 Remainder After Division for Floating-Point Values WebTo check whether the expression n(n-1)(n-2) is divisible by 3, we can use modular arithmetic. We know that if a number is divisible by 3, then its remainder when divided by 3 is 0. Therefore, we need to check whether n(n-1)(n-2) leaves a … sdsu ethnicity