The binary equivalent of the decimal number 0.4375 is —

Convert 0.4375 to binary by multiplying the fractional part by 2 and recording the integer parts:

1. 0.4375 × 2 = 0.875 → bit 0

2. 0.875 × 2 = 1.75 → bit 1

3. 0.75 × 2 = 1.5 → bit 1

4. 0.5 × 2 = 1.0 → bit 1

Collect the bits after the point (in order): 0.0111

Alternate method: express 0.4375 as a sum of negative powers of 2:

• 0.25 = 2⁻2 → binary 0.01

• 0.125 = 2⁻3 → binary 0.001

• 0.0625 = 2⁻4 → binary 0.0001

Summing these binary fractions: 0.01 + 0.001 + 0.0001 = 0.0111

Therefore, the binary equivalent of 0.4375 is 0.0111