Test Index

JAMB Computer Studies 2023 Paper

© africaexams.com

Question : 31

Total: 81

Evaluate

1011_2 + 122_4

, leaving your answer in base 10.

37
51
47
73

Solution:

Concept:

To add numbers in different bases, convert each term to base

10

first, then add.

Explanation:

Convert

1011_2

to base

10

.

1011_2 = (1 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (1 \times 2^0)

= (1 \times 8) + (0 \times 4) + (1 \times 2) + (1 \times 1) = 8 + 0 + 2 + 1 = 11

Now convert

122_4

to base

10

.

122_4 = (1 \times 4^2) + (2 \times 4^1) + (2 \times 4^0)

= (1 \times 16) + (2 \times 4) + (2 \times 1) = 16 + 8 + 2 = 26

Finally, add the two decimal values.

11 + 26 = 37

Answer:

37

(Option A)

© africaexams.com

Go to Question:

Prev Question

Next Question