Difficulty: Easy
Correct Answer: Correct
Explanation:
Introduction / Context:
This question checks the most fundamental property of binary notation: regardless of how addition is carried out internally (with carries and intermediate logic), the written result in base-2 uses only the symbols 0 and 1.
Given Data / Assumptions:
Concept / Approach:
Binary numbers are expressed with two symbols. During addition, each bit position computes a sum bit (0 or 1) and possibly a carry to the next position. No matter how many carries propagate, each output digit remains 0 or 1. The process may widen the word (e.g., an extra most-significant bit), but the alphabet of symbols does not change.
Step-by-Step Solution:
Verification / Alternative check:
Example: 1011 + 0111 = 10010. Even with multiple carries, the digits in the result are still only 0s and 1s.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing intermediate analog voltages or adder internals with the symbolic numeric result.
Final Answer:
Correct
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