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Question detail

A fixed-point number uses 8 bits with the binary point after the first 4 bits. What decimal value is represented by 0101.1010?

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

At a glance

MCQ

Type

practice

Style

Topic

Binary number system

Exam-style question

Try this first

A fixed-point number uses 8 bits with the binary point after the first 4 bits. What decimal value is represented by 0101.1010?.

  1. A.5.25
  2. B.5.625
  3. C.5.75
  4. D.10.625

Model answer

What a good answer should say

  • 5.625

Explanation

Why this works

The integer part 0101 is 5. The fractional part .1010 is 1/2 + 1/8 = 0.625.

Therefore, the value is 5.625.

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