Counting terminology: When incrementing a binary or decimal count, the digit that changes most frequently from step to step is called the ________.

Difficulty: Easy

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

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