a mod b means
What is the formula for a mod B?
As we said, a mod b is simply an expression representing the remainder when we divide a by b.
Therefore, if a / b = q remainder r, then a mod b = r.
This leads to the following steps to find a mod b, in general: First, divide a by b.1 mod 4 equals 1, since 1/4 = 0 with a remainder of 1.
What does a ≡ b mod n means?
This establishes a natural congruence relation on the integers.
For a positive integer n, two integers a and b are said to be congruent modulo n (or a is congruent to b modulo n), if a and b have the same remainder when divided by n (or equivalently if a − b is divisible by n ).
It can be expressed as a ≡ b mod n.
What is the meaning of 1 mod 3?
1 mod 3 equals 1, since 1/3 = 0 with a remainder of 1.
3 Congruence
Definition 3.1 If a and b are integers and n > 0 we write a ? b mod n to mean n |
3 Congruence
Definition 3.1 If a and b are integers and n > 0 we write a ? b mod n to mean n |
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Definition 3 1 If a and b are integers and n > 0, we write a ≡ b mod n to mean n( b − a) We read this as “a is congruent to b modulo (or mod) n For example, 29 |
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