Question

Binary number (100101)₂ is equal to

• A. $37$
• B. $36$
• C. $34$
• D. $32$

Answer 1

The correct option is A

$37$

Explanation for correct options:

Given Binary number: ${\left(100101\right)}_2$

Converting to the decimal equivalent of the given binary number,

$\Rightarrow (2^5\times 1)+(2^4\times 0)+(2^3\times 0)+(2^2\times 1)+(2^1\times 0)+(2^0\times 1)$

$=(32)+(0)+(0)+(4)+(0)+(1)$

$=37$

Therefore the decimal equivalent of ${\left(100101\right)}_2$ is $37$

Hence, Option (A) is correct.

Explanation for incorrect options:

Option (B): $36$

Since, the decimal equivalent of ${\left(100101\right)}_2$ is $37$

Therefore, the decimal equivalent of ${\left(100101\right)}_2$ is not $36$

Hence, Option (B) is incorrect.

Option (C): $34$

Since, the decimal equivalent of ${\left(100101\right)}_2$ is $37$

Therefore, the decimal equivalent of ${\left(100101\right)}_2$ is not $34$

Hence, Option (C) is incorrect.

Option (D): $32$

Since, the decimal equivalent of ${\left(100101\right)}_2$ is $37$

Therefore, the decimal equivalent of ${\left(100101\right)}_2$ is not $32$

Hence, Option (D) is incorrect.

Hence, Option (A) is the correct.