Logic Gates：練習題

Which logic gate provides a HIGH output (1) if and only if its two inputs are different?

A logic circuit has two inputs, \(A\) and \(B\). The output is given by the Boolean statement:
Output = \((A \text{ AND } B) \text{ OR } (\text{NOT } A)\)
What is the output when \(A = 1\) and \(B = 0\)?

Using De Morgan's Law and Boolean algebra properties, simplify the following Boolean expression:
\(\text{NOT } (A \cdot (B + \text{NOT } C))\)

According to De Morgan's theorem, the Boolean expression \(\overline{A \cdot B}\) is equivalent to which of the following?

Consider a 3-input logic system where the output \(Q\) is defined as \(Q = (A + B) \cdot \overline{C}\).
Which set of inputs will result in \(Q = 1\)?

State the output of a NOT logic gate when its input is 1.

Using De Morgan's theorem, simplify the Boolean expression \( \text{NOT } (A \text{ AND } B) \) into an expression using OR and NOT operators.

A logic circuit is represented by the Boolean statement \( P = \text{NOT } (A \text{ OR } B) \). Identify which single logic gate is equivalent to this statement.

State the output of an AND logic gate when one input is 1 and the other input is 0.

Consider the Boolean expression \(X = \overline{\overline{A} + \overline{B}} \cdot (\overline{A + B})\).