Digital Logic – Basic AND Operation In a standard binary (Boolean) digital circuit, what is the result of 1 AND 1?

Introduction / Context:
Boolean logic underpins digital electronics and programming. The AND operation outputs true only if all inputs are true. Understanding these fundamentals is essential for analyzing logic gates, truth tables, and conditional expressions in software.

Given Data / Assumptions:

• Binary inputs: 1 represents true/high, 0 represents false/low.
• We are using the logical AND operator.
• Two-input truth table applies.

Concept / Approach:
The AND truth rule is simple: 1 AND 1 → 1; 1 AND 0 → 0; 0 AND 1 → 0; 0 AND 0 → 0. In hardware, an AND gate only drives its output high when all inputs are high. Numeric outputs like 2 or 4 are meaningless here because Boolean logic does not sum values; it evaluates truth conditions.

Step-by-Step Solution:

Verification / Alternative check:
Test with a simple circuit simulator or Boolean algebra rules: A * B equals 1 only when A = 1 and B = 1.

Why Other Options Are Wrong:

• 0: Would be correct for OR? No—AND needs all 1s; here both are 1.
• 2, 4: Misinterpret Boolean logic as arithmetic addition or multiplication of integers; outputs are logical, not numeric magnitudes beyond 1.

Common Pitfalls:
Confusing arithmetic with logic, or mixing OR/AND semantics.

Final Answer:
1