Subtract the following binary numbers and check your result by decimal subtraction. $\begin{array} { r }
11111 \
1111 \
\hline
\end{array}$
A) 110
B) 11
C) 10000
D) 101
E) 1101

Question

Subtract the following binary numbers and check your result by decimal subtraction. $\begin{array} { r } 
11111 \
1111 \
\hline
\end{array}$
A) 110
B) 11
C) 10000
D) 101
E) 1101

Quizplus · Accepted Answer

When subtracting the binary numbers, we need to remember to borrow from the left when necessary.

\begin{tabular}{@{}c@{}c@{}c@{}c@{}c@{}c}
 & 1 & 1 & 1 & 1 & 1 \
- & 1 & 1 & 1 & 1 & \
\cline{1-6}
& 1 & 0 & 0 & 0 & 0
\end{tabular}

Converting the answer to decimal form, we get 16, which is the equivalent of subtracting 15 from 31, confirming our answer.

Subtract the Following Binary Numbers and Check Your Result by Decimal