The decimal equivalent of the binary number 11100001111 is

A. 1806

B. 1807

C. 2806

D. All of the above

E. None of the above

Answer: Option B

Solution(By Examveda Team)

The decimal equivalent of the binary number 11100001111 is 1807. A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).
(11100001111) = 1807
1 × 2¹⁰ + 1 × 2⁹ + 1 × 2⁸ + 0 × 2⁷ + 0 × 2⁶ + 0 × 2⁵ + 0 × 2⁴ + 1 × 2³ + 1 × 2² + 1 × 2¹ + 1 × 2⁰
= 1024 + 512 + 256 + 0 + 0 + 0 + 0 + 8 + 4 + 2 + 1
= 1807