(c) Evaluate the binary number in base two 111 (110 + 101)

JSCE Mathematics 2023 Theory — Question 11

Question 11 of 17 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2023 Theory paper, with the correct answer and a full explanation.

Model answer

110 + 101: 110 (=6) + 101 (=5) = 1011 in base two. 111 x 1011 (in base two): 111 = 7 and 1011 = 11, so 7 x 11 = 77. 77 in base two = 1001101. Answer: 1001101 (base two).

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