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Using 8-bit fixed-point representation with 4 bits before and 4 bits after the binary point, which bit pattern represents decimal 3.25?

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At a glance

MCQ

Type

practice

Style

Topic

Binary number system

Exam-style question

Try this first

Using 8-bit fixed-point representation with 4 bits before and 4 bits after the binary point, which bit pattern represents decimal 3.25?.

  1. A.0011.0010
  2. B.0011.0100
  3. C.0011.1000
  4. D.0110.0100

Model answer

What a good answer should say

  • 0011.0100

Explanation

Why this works

The integer part 3 is 0011. The fractional part 0.25 is represented by 0100 because the first fractional bit has value 1/2 and the second has value 1/4; 0.25 is 0/2 + 1/4 + 0/8 + 0/16.

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