Question

The binary representation of the decimal number 1.375 is

• A. 1.111
• B. 1.010
• C. 1.011
• D. 1.001

Hint:

To convert a decimal fraction to binary, multiply the fractional part repeatedly by 2 and record the integer parts in order.

Answer 1

The Correct Option is C

To convert 1.375 to binary:
Separate the number into its integer and fractional parts:
Integer part = 1 → Binary: 1
Fractional part = 0.375 \[ 0.375 \times 2 = 0.75 ⇒ 0 0.75 \times 2 = 1.5 ⇒ 1 0.5 \times 2 = 1.0 ⇒ 1 \] So, 0.375 in binary = 0.011 Therefore, 1.375 in binary = 1.011