The decimal equivalent of binary number 0.0111 is –

Answer: 0.4375

Conversion steps:

• First fractional bit (0) = 0 × 1/2 = 0

• Second fractional bit (1) = 1 × 1/4 = 0.25

• Third fractional bit (1) = 1 × 1/8 = 0.125

• Fourth fractional bit (1) = 1 × 1/16 = 0.0625

Sum: 0.25 + 0.125 + 0.0625 = 0.4375

Why the other choices are incorrect:

• 4.375 is incorrect because it implies a nonzero integer part in binary; the given number has integer part zero.

• 0.5375 is incorrect; it differs from the correct sum by 0.1, indicating an arithmetic or place-value mistake.

• −0.4375 is incorrect because the binary number provided is positive (no negative sign), so the result is +0.4375.