An 8-bit optical encoder divides one complete revolution into equal discrete…
2007
An 8-bit optical encoder divides one complete revolution into equal discrete positions. Its angular resolution is approximately:
Answer: D. 1.4° — ConceptAn n-bit absolute optical encoder represents 2n distinct angular positions in one complete revolution. Angular resolution is the angle represented by…
- A.
1.8°
- B.
3.4°
- C.
2.8°
- D.
1.4°
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Correct answer: D
Concept
An n-bit absolute optical encoder represents 2n distinct angular positions in one complete revolution.
Angular resolution is the angle represented by one position, so resolution = 360° divided by the number of positions.
Application
For n = 8, the number of positions is N = 28 = 256.
Use θ = 360°/N.
Therefore, θ = 360°/256 = 1.40625°, which rounds to 1.4°.
Cross-check
Multiplying 256 positions by 1.40625° per position gives 360°, one complete revolution.
Thus, the approximate angular resolution is 1.4°.