Question

The equivalent of decimal number 27 in binary number system will be:

• A. \( (10011)_2 \)
• B. \( (10111)_2 \)
• C. \( (11001)_2 \)
• D. \( (11011)_2 \)

Hint:

Convert decimal to binary by dividing by 2 and recording remainders.

Answer 1

The Correct Option is B

To convert the decimal number 27 to binary, we express it as a sum of powers of 2: \[ 27 = 16 + 8 + 2 + 1 = 2^4 + 2^3 + 2^1 + 2^0. \] Writing these powers as binary digits, where each power present corresponds to 1 and absent corresponds to 0, we get: \[ 27_{10} = (11011)_2. \]