Conversion of an octal number 20₈ to its binary number is

A. 10000₂

B. 10111₂

C. 10110₂

D. 11110₂

E. None of the above

Answer: Option A

Solution(By Examveda Team)

Conversion of an octal number 20₈ to its binary number is 10000₂.
20 to base 8 convert into decimals as 0 × 8⁰ + 2 × 8¹ = 0 + 16 = 16.
From decimal convert to binary,
i.e. $$\frac{{16}}{2}$$ = 8 remainder 0.
$$\frac{8}{2}$$ = 4 remainder 0.
$$\frac{4}{2}$$ = 2 remainder 0.
$$\frac{2}{2}$$ = 1 remainder 0.
So the answer is 10000₂