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

Related questions

1
4k views
Two eight bit bytes $1100 0011$ and $0100 1100$ are added. What are the values of the overflow, carry and zero flags respectively, if the arithmetic unit of the CPU uses $2$'s complement form? $0, 1, 1'$ $1, 1, 0$ $1, 0, 1$ $0, 1, 0$
The number $1102$ in base $3$ is equivalent to $123$ in which base system? $4$ $5$ $6$ $8$
When two $\text{BCD}$ numbers $0\times14$ and $0\times08$ are added what is the binary representation of the resultant number ? $0\times22$ $0\times1c$ $0\times16$ results in overflow