111000_{2} - 11001_{2} = ? | vedclass

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Question

(A) To subtract the binary numbers,we can convert them to decimal,perform the subtraction,and convert back to binary.$111000_{2} = (1 	imes 2^5) + (1

Vedclass · Accepted Answer

$11111_{2}$

Vedclass · Answer

(A) To subtract the binary numbers,we can convert them to decimal,perform the subtraction,and convert back to binary.$111000_{2} = (1 	imes 2^5) + (1 	imes 2^4) + (1 	imes 2^3) + (0 	imes 2^2) + (0 	imes 2^1) + (0 	imes 2^0) = 32 + 16 + 8 = 56_{10}$.$11001_{2} = (1 	imes 2^4) + (1 	imes 2^3) + (0 	imes 2^2) + (0 	imes 2^1) + (1 	imes 2^0) = 16 + 8 + 1 = 25_{10}$.Subtracting the decimal values: $56 - 25 = 31_{10}$.Now,convert $31_{10}$ back to binary:$31 \div 2 = 15$ remainder $1$$15 \div 2 = 7$ remainder $1$$7 \div 2 = 3$ remainder $1$$3 \div 2 = 1$ remainder $1$$1 \div 2 = 0$ remainder $1$Reading remainders from bottom to top,we get $11111_{2}$.Alternatively,using binary subtraction:$111000_{2} - 011001_{2} = 11111_{2}$.

$111000_{2} - 11001_{2} = ?$

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