Counting terminology: When incrementing a binary or decimal count, the digit that changes most frequently from step to step is called the ________.
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ALSB
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BLED
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CLCD
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DMSB
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Eparity bit
Answer
Correct Answer: LSB
Explanation
Introduction / Context:In digital counting and number representation, different digit positions change at different rates. Knowing which digit changes every increment helps with timing, ripple effects, and understanding binary counters.
Given Data / Assumptions:
- Counting proceeds by +1 increments.
- Number representation can be binary or decimal; the concept is analogous.
- Terminology: LSB = least significant bit; MSB = most significant bit.
Concept / Approach:The least significant position toggles with every increment. In binary, the LSB flips every count; higher bits change at powers-of-two intervals (every 2 counts for bit1, every 4 counts for bit2, etc.). Thus, the digit that changes most often is the LSB.
Step-by-Step Solution:
Consider binary sequence …0000, 0001, 0010, 0011, 0100…Track the rightmost bit: it toggles each step.Observe higher bits: they change less frequently.Conclude: the LSB changes most often.Verification / Alternative check:Examine a ripple counter timing diagram; the LSB output has the highest toggle frequency, confirming the definition.
Why Other Options Are Wrong:
LED/LCD: display technologies, not digit positions.MSB: changes least often in a monotonically increasing count.Parity bit: an error-checking bit, not a position within the magnitude.Common Pitfalls:Confusing digit significance with physical pin position; assuming decimal dynamics differ fundamentally (they do not—the ones place changes every increment).
Final Answer:LSB