Question

What is $1$ mod $4$?

Answer 1

Find $1\mathrm{mod}4$

Modulo operation:

$a\mathrm{mod}b$ means, the value of remainder when we divide $a$ by $b$.

We have to find $1\mathrm{mod}4$.

The multiple of the divisor $4$ is $(0,4,8,12,.....)$

The highest multiple of divisor $4$ which is equal to or less than the dividend $1$ is $0$.

So, we subtract zero from the dividend$1$.

$$\begin{gathered} 0 \\ 4\overline{)1} \\ \underline{-0} \\ 1 \end{gathered}$$

$$\begin{gathered} \therefore 1\mathrm{mod}4=1-0 \\ \Rightarrow =1 \end{gathered}$$

Hence, the value of $1\mathrm{mod}4$ is$1$.