Perform the following binary subtractions.
-$\begin{array} { r }
1110 _ { 2 } \
- 0101 _ { 2 } \
\hline
\end{array}$

A) $0001 _ { 2 }$
B) $1001 _ { 2 }$
C) $1011 _ { 2 }$
D) $0011 _ { 2 }$
E) None of these

Question

Perform the following binary subtractions.
-$\begin{array} { r } 
1110 _ { 2 } \
- 0101 _ { 2 } \
\hline
\end{array}$

A) $0001 _ { 2 }$
B) $1001 _ { 2 }$
C) $1011 _ { 2 }$
D) $0011 _ { 2 }$
E) None of these

Quizplus · Accepted Answer

Subtracting binary numbers follows the same principles as decimal subtraction, but with base 2. For $1110_2 - 0101_2$, we subtract each bit from right to left, borrowing as necessary:- $0 - 1$ requires borrowing, turning the $1$ (in the 2's place) into $0$ and the $0$ (in the 1's place) into $2$ (in binary, $10$). So, $10 - 1 = 1$.- $0 - 0 = 0$, but remember we borrowed, so this place is already $0$.- $1 - 1 = 0$.- $1 - 0 = 1$.Thus, the result is $1001_2$.

Perform the Following Binary Subtractions 11102−01012\begin{array} { r } 1110 _ { 2 } \\- 0101 _ { 2 } \\\hline\end{array}11102​−01012​​​

Perform the Following Binary Subtractions $\begin{array} { r } 1110 _ { 2 } \\- 0101 _ { 2 } \\\hline\end{array}$