**Solution**

• The integer part = 13

**Divisor Dividend Remainder**

2 13 —

2 6 1

2 3 0

2 1 1

— 0 1

• The binary equivalent of (13)10 is therefore (1101)2

• The fractional part = .375

• 0.375 × 2 = 0.75 with a carry of 0

• 0.75 × 2 = 0.5 with a carry of 1

• 0.5 × 2 = 0 with a carry of 1

• The binary equivalent of (0.375)10 = (.011)2

• Therefore, the binary equivalent of (13.375)10 = (1101.011)2