Subtract in the indicated base.
-$$\begin{array} { r }
1001 _ { 4 } \
- \quad 32_4 \
\hline
\end{array}$$
A) $968_4$
B) $303_4$
C) $321_4$
D) $312_4$

Question

Subtract in the indicated base.
-$$\begin{array} { r } 
1001 _ { 4 } \
- \quad 32_4 \
\hline
\end{array}$$
A) $968_4$
B) $303_4$
C) $321_4$
D) $312_4$

Quizplus · Accepted Answer

To subtract in base 4, we subtract each digit, borrowing as needed. Starting from the right: 1 - 2 is not possible, so we borrow from the 0 (which becomes 3 after borrowing from the 1 to its left, making it 0), making it 11 base 4 - 2 = 3. Next, 0 - 3 is not possible, so we borrow from the next digit (making it 3), resulting in 4 - 3 = 1. Finally, 3 - 0 = 3. So, the answer is $303_4$.

Subtract in the Indicated Base 10014−324\begin{array} { r } 1001 _ { 4 } \\- \quad 32_4 \\\hline\end{array}10014​−324​​​

Subtract in the Indicated Base $\begin{array} { r } 1001 _ { 4 } \\- \quad 32_4 \\\hline\end{array}$