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Learning objective

(a) Add two positive 8-bit binary numbers. (b) Understand the concept of overflow in binary addition and its causes. Note: An overflow error occurs if the result exceeds 255 in an 8-bit register, which has a defined limit for representation or storage, such as 16 bits.

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  • Practise with linked questions.
Cambridge IGCSE Computer ScienceData representation

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Quick explanation

(a) Add two positive 8-bit binary numbers. (b) Understand the concept of overflow in binary addition and its causes. Note: An overflow error occurs if the result exceeds 255 in an 8-bit register, which has a defined limit for representation or storage, such as 16 bits

  • This point belongs to Number systems, especially Number systems outcomes.
  • You need to be able to (a) Add two positive 8-bit binary numbers. (b) Understand the concept of overflow in binary addition and its causes. Note: An overflow error occurs if the result exceeds 255 in an 8-bit register, which has a defined limit for representation or storage, such as 16 bits.
  • The key ideas to know are Calculate and Explain.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateExplain

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This objective helps connect Number systems outcomes to exam-style questions, flashcards, and revision notes for Number systems.

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Paper 1 structured question: Number systems

Paper 1Computer Systems2 marks

Description

Binary Addition Example

Calculate the sum of the following binary numbers: 10101010 and 01010101.

  1. a

    Calculate the sum of the two binary numbers provided.

    Aim for approximately 2 distinct marking points.

    [2]
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