The decimal equivalent of the binary num...

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

A

`9.625`

B

`25.265`

C

`26.625`

D

`26.265`

Verified by Experts

The correct Answer is:

C

`(11010.101)_(2)`
`=1xx2^(4)+1xx2^(3)+0xx2^(2)+1xx2^(1)+0xx2^(0)`
`+1xx(1)/(2)+0xx(1)/(4)+1xx(1)/(8)`
`=(16+8+2)+(1)/(2)+(1)/(8)=26.625`

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