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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

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