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Data representation: binary arithmetic including addition and overflow
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20 CIE IGCSE Computer Science questions on Data representation: binary arithmetic including addition and overflow, 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 result of the binary addition 0110 + 0101?

  1. 1011
  2. 1100
  3. 1001
  4. 1010
Show answer & explanation
✓ Answer: A1011
0110 (6) + 0101 (5) = 1011 (11). Starting from the rightmost bit: 0+1=1, 1+0=1, 1+1=10 (write 0 carry 1), 0+0+1=1, giving 1011. Option A (1010=10) is incorrect and reflects a carry error. Option C (1100=12) suggests an incorrect carry propagation. Option D (1001=9) reflects misalignment of bit positions during addition.
Question 2 · 1 mark · Difficulty 2/3

A student adds 01101100 and 00110101 in binary. What is the correct 8-bit result?

  1. 10100000
  2. 10100001
  3. 10011101
  4. 10001101
Show answer & explanation
✓ Answer: B10100001
01101100 (108) + 00110101 (53) = 161 = 10100001. Working from the LSB: 0+1=1; 0+0=0; 1+1=10 (0,c1); 1+0+1=10 (0,c1); 0+1+1=10 (0,c1); 1+1+1=11 (1,c1); 1+0+1=10 (0,c1); 0+0+1=1; result 10100001. Option C (157) results from an arithmetic error in the middle columns. Option A (141) reflects a missed carry. Option B (160) is off by one, from a carry addition error in the LSB column.
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CIE IGCSE Computer Science: Data representation: binary arithmetic including addition and overflow FAQ

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Are the Data representation: binary arithmetic including addition and overflow 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: binary arithmetic including addition and overflow typically tested on CIE IGCSE Computer Science papers?
Data representation: binary arithmetic including addition and overflow 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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