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Question detail

Explain the difference between overflow and underflow. Describe the circumstances in which each occurs.

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

Question

Type

practice

Style

Topic

Binary number system

Exam-style question

Try this first

Explain the difference between overflow and underflow. Describe the circumstances in which each occurs.

Model answer

What a good answer should say

  • Overflow occurs when a calculation produces a result greater than the maximum value that can be represented using the available fixed number of bits.
  • Underflow occurs when a calculation produces a result less than the minimum value that can be represented using those bits.
  • Both conditions arise because the representation has a fixed size and the result lies outside its permitted range.

Explanation

Why this works

A complete answer identifies the direction of the out-of-range result and links it to the limits imposed by the fixed number of available bits. A result above the upper limit is overflow; a result below the lower limit is underflow.

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