Find the decimal equivalent of binary 1000001 | vedclass

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Question

(A) To convert a binary number to its decimal equivalent,we multiply each bit by $2$ raised to the power of its position (starting from $0$ on the rig

Vedclass · Accepted Answer

$1043$

Vedclass · Answer

(A) To convert a binary number to its decimal equivalent,we multiply each bit by $2$ raised to the power of its position (starting from $0$ on the right).The binary number is $10000010011_2$.Position values:$1 	imes 2^{10} + 0 	imes 2^9 + 0 	imes 2^8 + 0 	imes 2^7 + 0 	imes 2^6 + 0 	imes 2^5 + 1 	imes 2^4 + 0 	imes 2^3 + 0 	imes 2^2 + 1 	imes 2^1 + 1 	imes 2^0$Calculating the powers of $2$:$2^{10} = 1024$$2^4 = 16$$2^1 = 2$$2^0 = 1$Summing these values:$1024 + 16 + 2 + 1 = 1043$Therefore,the decimal equivalent is $1043$.

Find the decimal equivalent of binary $10000010011_2$.

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