Find the decimal equivalent of binary 101001_ | vedclass

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Question

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

Vedclass · Accepted Answer

$41$

Vedclass · Answer

(B) To convert a binary number to its decimal equivalent,we multiply each digit by $2$ raised to the power of its position (starting from $0$ on the right).For the binary number $101001_2$:Position $5$: $1 	imes 2^5 = 32$Position $4$: $0 	imes 2^4 = 0$Position $3$: $1 	imes 2^3 = 8$Position $2$: $0 	imes 2^2 = 0$Position $1$: $0 	imes 2^1 = 0$Position $0$: $1 	imes 2^0 = 1$Summing these values: $32 + 0 + 8 + 0 + 0 + 1 = 41$.Therefore,the decimal equivalent is $41$.

Find the decimal equivalent of binary $101001_2$.

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