The binary number 1000101.101 is converted to | vedclass

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Question

(C) To convert the binary number $1000101.101$ to decimal,we expand it using powers of $2$:$1000101.101 = (1 	imes 2^6) + (0 	imes 2^5) + (0 	imes

Vedclass · Accepted Answer

$69.625$

Vedclass · Answer

(C) To convert the binary number $1000101.101$ to decimal,we expand it using powers of $2$:$1000101.101 = (1 	imes 2^6) + (0 	imes 2^5) + (0 	imes 2^4) + (0 	imes 2^3) + (1 	imes 2^2) + (0 	imes 2^1) + (1 	imes 2^0) + (1 	imes 2^{-1}) + (0 	imes 2^{-2}) + (1 	imes 2^{-3})$$= 64 + 0 + 0 + 0 + 4 + 0 + 1 + 0.5 + 0 + 0.125$$= 69 + 0.625$$= 69.625$Thus,the decimal equivalent is $69.625$.

$A$	$B$	$Y$
$0$	$0$	$1$
$0$	$1$	$0$
$1$	$0$	$1$
$1$	$1$	$0$

The binary number $1000101.101$ is converted to decimal as:

Similar Questions

To get output $Y=1$ for the following circuit,the inputs should be:

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$A$ $B$ $Y$

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