Question

The decimal equivalent to the binary number $10110110$ is

• A. $9$
• B. $30$
• C. $32$
• D. $182$

Answer 1

The correct option is D

$182$

Explanation for the correct answer:

Given the binary number $\left(10110110\right)$.

To find the equivalent decimal number, mutiply each term of the binary number by $2^n$ where $n$ is the corresponding place value of the binary number and then, sum all the terms. Hence,

${\left(10110110\right)}_2=2^7\times 1+2^6\times 0+2^5\times 1+2^4\times 1+2^3\times 0+2^2\times 1+2^1\times 1+2^0\times 0$

$=128+32+16+4+2$

$=182$

Hence, the decimal equivalent to the binary number $10110110$ is $182$.

Therefore, Option (D) is the correct answer.