Find the decimal equivalent of binary 1110101 | vedclass

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Question

(C) To convert a binary number to its decimal equivalent,we multiply each bit by its corresponding power of $2$ based on its position (starting from $

Vedclass · Accepted Answer

$117_{10}$

Vedclass · Answer

(C) To convert a binary number to its decimal equivalent,we multiply each bit by its corresponding power of $2$ based on its position (starting from $0$ on the right).The binary number is $1110101_2$.Calculation:$(1 	imes 2^6) + (1 	imes 2^5) + (1 	imes 2^4) + (0 	imes 2^3) + (1 	imes 2^2) + (0 	imes 2^1) + (1 	imes 2^0)$$= 64 + 32 + 16 + 0 + 4 + 0 + 1$$= 117_{10}$Therefore,the decimal equivalent is $117_{10}$.

Find the decimal equivalent of binary $1110101_2$.

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