Question

convert this binary code to decimal: 00101110

Explanation:

Step1: Write the binary - to - decimal formula

For a binary number \(b_{n}b_{n - 1}\cdots b_{1}b_{0}\), the decimal equivalent \(D=\sum_{i = 0}^{n}b_{i}\times2^{i}\). Here, the binary number is \(00101110\).

Step2: Calculate each term

\[

$$\begin{align*} D&=0\times2^{7}+0\times2^{6}+1\times2^{5}+0\times2^{4}+1\times2^{3}+1\times2^{2}+1\times2^{1}+0\times2^{0}\\ &=0 + 0+32+0 + 8+4+2+0\\ &=46 \end{align*}$$

\]

Answer:

46