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Here we will explain what 1 mod 3 means and show how to calculate it. 1 mod 3 is short for 1 modulo 3 and it can also be called 1 modulus 3. Modulo is the operation of finding the Remainder when you divide two numbers.
The modulo (or "modulus" or "mod") is the remainder after dividing one number by another. Example: 100 mod 9 equals 1. Because 100/9 = 11 with a remainder of 1. Another example: 14 mod 12 equals 2. Because 14/12 = 1 with a remainder of 2.
1 mod 3 equals 1, since 1/3 = 0 with a remainder of 1. To find 1 mod 3 using the modulus method, we first find the highest multiple of the divisor, 3 that is equal to or less than the dividend, 1. Then, we subtract the highest multiple from the dividend to get the answer to 1 mod 3.
The modulo (or "modulus" or "mod") is the remainder after dividing one number by another. Example: 100 mod 9 equals 1. Because 100 9 = 11 with a remainder of 1.
mod in programming languages and calculators. Many programming languages, and calculators, have a mod operator, typically represented with the % symbol. If you calculate the result of a negative number, some languages will give you a negative result. e.g. -5 % 3 = -2.
In 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.
The range of values for an integer modulo operation of n is 0 to n − 1 (a mod 1 is always 0; a mod 0 is undefined, being a division by zero). When exactly one of a or n is negative, the basic definition breaks down, and programming languages differ in how these values are defined.
