JAMB - Computer Studies (2023 - No. 31)
Evaluate \(1011_2 + 122_4\), leaving your answer in base 10.
37
51
47
73
Explicació
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
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