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The decimal equivalent of the binary num...

The decimal equivalent of the binary number `(11010.101)_(2)` is

A

`17+9.625`

B

`15+9.625`

C

`26+0.625`

D

`24+0.625`

Text Solution

Verified by Experts

The correct Answer is:
A, C
`(11010.101)_(2)=0xx2^(0)+1xx2^(1)+0xx2^(2)+1xx2^(3)+1xx2^(4)+1xx2^(-1)+0xx2^(-2)+1xx2(-3)`
`=0+2+0+8+16+1/2+0+1/8`
`=265/8 =26.625=17+9.625`
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