When one number cannot divide another number completely, it le get a remainder. Remainder means something which is ‘left over’ or ‘remaining’. Alternatively, a remainder is also what is left after subtracting one number from another, although this is more precisely called the difference. In arithmetic, the remainder is the integer “left over” after dividing one integer by another to produce an integer quotient (integer division). Thus, 7 % 4 yields 3 and 17 % 5 yields 2…. The expression x % y yields the remainder after x is divided by y. The modulus operator can be used only with integer operands. For 128(mod7), observe that 12≡5(mod7), so 128≡58(mod7).Ĭ++ provides the modulus operator, %, that yields the remainder after integer division.For the product 101⋅98mod17, use the theorem that if a≡b(modn) and c≡d(modn), then ac≡bd(modn).
How do you find modulus without a calculator? If I say a modulo b is c, it means that the remainder when a is divided by b is c. The modulo operation is the same as ‘ the remainder of the division ‘. You might have noticed that many programming problems ask you to output the answer “modulo (10^9 + 7)”. Modification What is the meaning of modulo 10 9 7?
