Difficulty: Easy
Correct Answer: 3
Explanation:
Introduction / Context: Microcontrollers often have limited I/O. Encoders allow multiple sources to be represented as a smaller set of lines. An 8-to-3 priority encoder outputs a 3-bit code corresponding to the highest-priority active input, reducing the required MCU input pins.
Given Data / Assumptions:
Concept / Approach: An 8-to-3 encoder maps 8 inputs to a 3-bit binary index (since 2^3 = 8). With priority, if multiple inputs assert simultaneously, the highest-priority one determines the output code. The MCU reads the 3-bit value to know which source is active, conserving pins.
Step-by-Step Solution:
Determine bit width: log2(8) = 3 bits.Priority encoder provides these 3 bits on its outputs.MCU therefore needs 3 input lines to read the code.Additional housekeeping signals are optional and not counted here.Verification / Alternative check:
Check typical parts (e.g., 74HC148): 8 inputs, 3 outputs representing the active input index.Why Other Options Are Wrong:
8: No encoder would be needed if you spent eight lines.4: More than required; 3 bits already cover 8 states.2: Insufficient to represent 8 distinct states.Common Pitfalls:
Forgetting that additional lines (enable, GS, EO) do not change the core 3-bit code width.Final Answer:
3
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