Computer Science – 3.2 Logic Gates and Logic Circuits | e-Consult
3.2 Logic Gates and Logic Circuits (1 questions)
a) Boolean Expression:
The Boolean expression for the XOR function is: Z = X XOR Y. This can also be expressed as: Z = (X AND NOT Y) OR (NOT X AND Y).
b) Logic Circuit Diagram:
The circuit diagram should consist of:
- Two AND gates: One with inputs X and NOT Y, and the other with inputs NOT X and Y.
- An OR gate with inputs the outputs of the two AND gates.
Diagram (cannot be directly rendered in HTML, but would be a visual representation of the described gates connected as described).
c) Explanation of XOR Function:
The XOR gate produces a HIGH (1) output only when its two inputs, X and Y, are different. It produces a LOW (0) output when both inputs are the same. This is achieved by the combination of the AND and OR gates. The AND gates ensure that the outputs are HIGH only when one input is HIGH and the other is LOW. The OR gate then combines these outputs, resulting in a HIGH output only when one of the inputs is HIGH and the other is LOW – the XOR function.