ISRO-2013-77

Question

The binary equivalent of the decimal number $42.75$ is

• A. $101010 . 110$
• B. $100110 . 101$
• C. $101010 . 101$
• D. $100110 . 110$

Answer 1

Answer is A

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

Answer 2

Option a

it should be 101010.11

Comments

option A right