Here, we have to find the binary equivalent of the number 543.625 Separate the integer and fractional part. Integer part: 543 Fractional part: 0.625 Convert integer part into binary:
2
543
Remainder
2
271
1
2
135
1
2
67
1
2
33
1
2
16
1
2
8
0
2
4
0
2
2
0
1
0
So, the binary equivalent of 543 is (1000011111)2 Now let's convert fractional part into binary: 0.625 × 2 = 1.25 [1] 0.25 × 2 = 0.5 [0] 0.5 × 2 = 1.00 [1] So, the binary equivalent of 0.625 is (0.101)2 So, the binary equivalent of the decimal number 543.625 is (1000011111.101)2 Hence, option C is the correct answer.