Question

What is the equivalent decimal of binary number $101110$?

Answer 1

Conversion of decimal numbers from binary.

Given binary number is$101110$.

Multiply each digit of the given number by the corresponding power of two to obtain the required decimal number:

$\begin{array}{rcl}101110& =& 1\times 2^5+0\times 2^4+1\times 2^3+1\times 2^2+1\times 2^1+0\times 2^0\\ & \Rightarrow & 101110=32+0+8+4+2+0\\ & \Rightarrow & 101110=46\end{array}$

Hence, the required decimal number is $46$.