Question

What is $4$ mod $2$ ?

Answer 1

Determine modulo value:

To find $a$ mod $b$, subtract the highest multiple of $b$ that is equal to or less than $a$ from the dividend.

We have to find $4$ mod $2$ and here $4$ is the dividend.

The multiples of $2$ are $2,4,6,8,...$

The highest multiple that is equal to or less than $4$ is $4$.

Now subtract the highest multiple from the dividend.

$4-4=0$

$\therefore 4\mathrm{mod}2=0$

Hence, the value of $4\mathrm{mod}2$ is equal to $0$.