Converting the binary number 1011.01 into dec | vedclass

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Question

(D) To convert a binary number to decimal,we multiply each digit by $2$ raised to the power of its position relative to the binary point.For the binar

Vedclass · Accepted Answer

$11.25$

Vedclass · Answer

(D) To convert a binary number to decimal,we multiply each digit by $2$ raised to the power of its position relative to the binary point.For the binary number $1011.01$:$1 	imes 2^3 + 0 	imes 2^2 + 1 	imes 2^1 + 1 	imes 2^0 + 0 	imes 2^{-1} + 1 	imes 2^{-2}$$= 8 + 0 + 2 + 1 + 0 + 0.25$$= 11.25$Thus,the decimal equivalent is $11.25$.

Converting the binary number $1011.01$ into decimal gives ....

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