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What is arithmetic mod 3?

Figure 1: Arithmetic MOD 3 can be performed on a clock with 3 different times: 0, 1 and 2. Computations involving the modulus to determine remainders are called “Modular Arithmetic”. It was first studied by the German Mathematician Karl Friedrich Gauss (1777-1855) in 1801.

What is modmodular arithmetic?

Modular arithmetic is a calculation that involves a number that is reset to zero any time a whole number greater than 1, namely mod is obtained. The calculation is also called clock arithmetic.

What is modmod-arithmetic?

Mod-arithmetic is the central mathematical concept in cryptography. Almost any cipher from the Caesar Cipher to the RSA Cipher use it. Thus, I will show you here how to perform Mod addition, Mod subtraction, Mod multiplication, Mod Division and Mod Exponentiation.

How to perform mod arithmetic on a clock?

Ignoring a.m. and p.m., we are performing mod arithmetic on the clock. Let's write the two examples in mod notation: 11+10 = 21 mod 12 = 9 and 11 + 22 = 33 mod 12 = 9. Secondly, divide the sum by the modulus to compute the remainder.