Find the value of 1101112 + 101002
A
11010112
B
10010012
C
10010112
D
10011112
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
To find \( 110111_2 + 10100_2 \):
Convert to decimal: \(110111_2 = 55_{10}, \quad 10100_2 = 20_{10}\)
Add: \(55 + 20 = 75\)
Convert back to binary: \(75_{10} = 1001011_2\)
Final result: \(110111_2 + 10100_2 = 1001011_2\)
OR
\(\begin{array}{r}
110111_2 \\
+ 010100_2 \\
\hline
1001011_2
\end{array}\)
\(\therefore \; 110111_2 + 10100_2 = 1001011_2\)
Source: Myschool Past Questions Archive (Record #26996)