Q141
ArithmeticNumber System, LCM/HCF & Divisibility
The binary equivalent of decimal number 4.625 is
- a.100.001
- b.100.110
- c.100.101
- d.100.011
Answer: (C) 100.101
Convert the integer and fractional parts separately. Integer part: $4=(100)_2$. Fractional part: $0.625=\frac{1}{2}+\frac{1}{8}=(0.101)_2$ - or multiply repeatedly by 2: $0.625\times2=1.25$ (1), $0.25\times2=0.5$ (0), $0.5\times2=1.0$ (1). Hence $4.625=(100.101)_2$. Check the distractors: $100.001=4.125$, $100.110=4.75$, $100.011=4.375$. The place values after the binary point are $\frac{1}{2},\frac{1}{4},\frac{1}{8},\dots$