Question

An 8-bit binary rotary encoder is used to measure angle from $0^\circ$ to $360^\circ$. (a) Calculate the resolution of the encoder (b) Calculate the encoder reading for an angle of $45^\circ$ (c) Calculate the angle for a reading of 00100100

          An 8-bit binary rotary encoder is used to measure angle from $0^\circ$ to $360^\circ$.
(a) Calculate the resolution of the encoder
(b) Calculate the encoder reading for an angle of $45^\circ$
(c) Calculate the angle for a reading of 00100100

An 8-bit binary rotary encoder is used to measure angle from 0^∘ to 360^∘.
(a) Calculate the resolution of the encoder
(b) Calculate the encoder reading for an angle of 45^∘
(c) Calculate the angle for a reading of 00100100

Added by Philip T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Gopal Sharma

Step 1

Since it is an 8-bit encoder, it can represent 2^8 = 256 unique positions. However, we want to measure angles from 00 to 3600, which means we need to divide the total range (3600) by the number of unique positions (256). Resolution = Total range / Number of Show more…

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An 8-bit binary rotary encoder is used to measure angle from 00 to 3600. (a) Calculate the resolution of the encoder (b) Calculate the encoder reading for an angle of 459 (c) Calculate the angle for a reading of 00100100