Question

convert 62(10) into binary​

Answer 1

Here the given decimal number is 62.

[Given number is 62 because the base is 10 here.]

We have to convert this number to equivalent binary number, whose base is 2.

To convert a decimal number into binary number system, divide the number successively and continuously by the base of the binary number system, i..e, 2, until the quotient becomes 0, and write the remainders thus obtained in the order from bottom to top.

Let's begin.

62 divided by 2 gives quotient 31 and remainder 0.

31 divided by 2 gives quotient 15 and remainder 1.

15 divided by 2 gives quotient 7 and remainder 1.

7 divided by 2 gives quotient 3 and remainder 1.

3 divided by 2 gives quotient 1 and remainder 1.

1 divided by 2 gives quotient 0 and remainder 1.

$\begin{tabular}{c|lc}2&62\\ \cline{2-}2&31&0\\ \cline{2-}2&15&1\\ \cline{2-}2&7&1\\ \cline{2-}2&3&1\\ \cline{2-}2&1&1\\ \cline{2-}&0&1\\ \cline{2-}\end{tabular}$

Now we got quotient 0. So let's write down the remainders in the order from bottom to top.

111110

This is the binary form of 62.

∴ (62)₁₀ = (111110)₂