Add in the indicated base.
-$$\begin{array} { r }
2214 \
+ \quad 1314 \
\hline
\end{array}$$
A) $1112_4$
B)$ 352_4$
C) $1012_4$
D) $412_4$

Question

Add in the indicated base.
-$$\begin{array} { r } 
2214 \
+ \quad 1314 \
\hline
\end{array}$$
A) $1112_4$
B)$ 352_4$
C) $1012_4$
D) $412_4$

Quizplus · Accepted Answer

To add numbers in base 4, add each column starting from the right, carrying over when the sum is 4 or more. Here, $4 + 4 = 10_4$ (write 0, carry 1), $1 + 1 + 1 = 3_4$, $2 + 3 = 11_4$ (write 1, carry 1), and $2 + 1 + 1 = 10_4$ (write 0, carry 1). The result is $1012_4$.

Add in the Indicated Base 2214+1314\begin{array} { r } 2214 \\+ \quad 1314 \\\hline\end{array}2214+1314​​

Add in the Indicated Base $\begin{array} { r } 2214 \\+ \quad 1314 \\\hline\end{array}$