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HomeCIE IGCSE Computer ScienceData representation: two's complement (representation of negative numbers and subtraction)
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Data representation: two's complement (representation of negative numbers and subtraction)
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20 CIE IGCSE Computer Science questions on Data representation: two's complement (representation of negative numbers and subtraction), each with instant feedback and a full examiner-style mark scheme.

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Question 1 · 1 mark · Difficulty 1/3

What is the value of the most significant bit (MSB) in an 8-bit two's complement representation of a negative number?

  1. A: The MSB is always 0
  2. D: The MSB depends on the magnitude
  3. C: The MSB can be 0 or 1
  4. B: The MSB is always 1
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✓ Answer: DB: The MSB is always 1
In two's complement representation, the MSB acts as the sign bit. For any negative number, the MSB is always 1. Option A describes positive numbers. Options C and D are incorrect because the MSB definitively indicates sign: 1 for negative, 0 for positive.
Question 2 · 1 mark · Difficulty 1/3

What is the largest positive denary number that can be represented in 8-bit two's complement?

  1. B: 128
  2. D: 127
  3. C: 255
  4. A: 256
Show answer & explanation
✓ Answer: BD: 127
In 8-bit two's complement, the MSB is reserved as the sign bit with value –128. The maximum positive value is achieved when bits 6 to 0 are all 1: 64+32+16+8+4+2+1 = 127. Option C (255) is the maximum for 8-bit unsigned binary. Option B (128) is the magnitude of the most negative value. Option A (256) is the total number of patterns available.
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CIE IGCSE Computer Science: Data representation: two's complement (representation of negative numbers and subtraction) FAQ

How many CIE IGCSE Computer Science questions on Data representation: two's complement (representation of negative numbers and subtraction) are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Data representation: two's complement (representation of negative numbers and subtraction) for CIE IGCSE Computer Science, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CIE paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CIE IGCSE students preparing for Computer Science?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Data representation: two's complement (representation of negative numbers and subtraction) practice with other Computer Science topics or even switch to a totally different CIE subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Data representation: two's complement (representation of negative numbers and subtraction) questions aligned to the official CIE IGCSE Computer Science syllabus?
Every question is written against the published CIE IGCSE Computer Science specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CIE paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CIE.
How is Data representation: two's complement (representation of negative numbers and subtraction) typically tested on CIE IGCSE Computer Science papers?
Data representation: two's complement (representation of negative numbers and subtraction) appears across multiple question types on real CIE IGCSE Computer Science papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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