# ISRO-2013-77

2k views

The binary equivalent of the decimal number $42.75$ is

1. $101010 . 110$
2. $100110 . 101$
3. $101010 . 101$
4. $100110 . 110$

42 can be represented as 1*32+0*16+1*8+0*4+1*2+0*1 = 42, so the binaray representation is (101010)2.

And fraction part can be obtained as $\frac{1}{2}+\frac{1}{4} = 0.75$, the binary representation is .110

So, the total binary representation of 42.75 is (101010.110)2

selected by
Option a

it should be 101010.11

edited by
1
option A right

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