Evaluate \(1011_2 + 122_4\), leaving your answer in base 10.

A.

37

B.

51

C.

47

D.

73

Correct answer is A

1011\(_2\) = 1 × 2\(^3\) + 0 × 2\(^2\) + 1 × 2\(^1\) + 1 × 2\(^0\)
1 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 8 + 0 + 2 + 1 = 11
122\(_4\) = 1 × 4\(^2\) + 2 × 4\(^1\) + 2 × 4\(^0\)
1 × 16 + 2 × 4 + 2 × 1 = 16 + 8 + 2 = 26
11 + 26 = 37