number system

Question

The decimal equivalent value of given 2's complement number 101001.10 is

 

A   -20.5

B   -23.5

C   -22.5

Answer 1

$101001.10 = -2^5 + 2^3 + 2^0 + 2^{-1} = -32 + 8 + 1 + 0.5 = -22.5$

Comments

-23.5

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@raja11sep https://stackoverflow.com/questions/15463491/how-to-represent-a-negative-number-with-a-fraction-in-2s-complement

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-23+0.5 = 23.5 ..this is what I did 😂