modulo
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swapnil saha
- Posts:2
- Joined:Wed Sep 19, 2012 6:02 pm
what is modulo(mod) and how it is used?
Re: modulo
We have $m|a-b$ with $m,a,b \in \mathbb{Z}, \; m \ne 0$ then we write $a \equiv b \pmod{m}$.
Some property:
$a \equiv b \pmod{m}, \; b \equiv c \pmod{m}$ then $a \equiv c \pmod{m}$.
$a \equiv c \pmod{m}, \; b \equiv d \pmod{m}$ then $ab \equiv cd \pmod{m}$.
$a \equiv b \pmod{m}$ then $a+c \equiv b+c \pmod{m}$.
Some property:
$a \equiv b \pmod{m}, \; b \equiv c \pmod{m}$ then $a \equiv c \pmod{m}$.
$a \equiv c \pmod{m}, \; b \equiv d \pmod{m}$ then $ab \equiv cd \pmod{m}$.
$a \equiv b \pmod{m}$ then $a+c \equiv b+c \pmod{m}$.