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What decimal value is represented by the 8-bit fixed-point number 0010.1100, where the binary point is after the first 4 bits?

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

What decimal value is represented by the 8-bit fixed-point number 0010.1100, where the binary point is after the first 4 bits?.

  1. A.2.25
  2. B.2.5
  3. C.2.75
  4. D.3.5

Model answer

What a good answer should say

  • 2.75

Explanation

Why this works

The integer part is 0010, which is 2. The fractional part .1100 is 1/2 + 1/4 = 0.75.

The total is 2.75.

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