ITPEC IP October 2024 Question 3
ITPEC IP October 2024 — Question 3 of 100
The first two black squares represent 16 plus 8, which equals 24. Derive each positional value from the examples. The number 2 has only the fourth square black, so position 4 is worth 2. The number 10 has positions 2 and 4 black, so position 2 is worth 8.
From 5, positions 3 and 5 total 5; from 21, positions 1, 3, and 5 total 21. Therefore position 1 is 21 - 5 = 16. The five positions are the binary weights 16, 8, 4, 2, 1. With the first and second positions black, the result is 24.
Answer (c)
Why not others: 12, 20, and 30 do not equal the sum of the active positional weights 16 and 8.
Key rule: In a five-bit binary representation, positional values from left to right are powers of two: 16, 8, 4, 2, 1.
AI-generated — may contain errors
The original exam layout is preserved in the image so diagrams, formulas, tables, and code remain accurate.
This question comes from an official ITPEC past paper. ITPEC Practice is an independent study tool and is not affiliated with ITPEC. See the official IP past-paper collection or Report an issue.