Verification of truth table of logic gates by DeMorgen’s Theorem
Lab # 02
Objective:
Verification of morgans laws by using logic gates.
Equipment
Advanced digital trainer DEV-2766
- Logic gates ICs
- AND gate 7408
- OR gate 7432
- NOT gate 7404
- Connecting wires
Introduction and explanation of DeMorgan law:
A mathematician named DeMorgan developed a pair of important rules regarding group complementation in Boolean algebra. By group complementation, I’m referring to the complement of a group of terms, represented by a long bar over more than one variable. DeMorgan’s theorems state the same equivalence in “backward” form: that inverting the output of any gate results in the same function as the opposite type of gate (AND vs. OR) with inverted inputs. Inverting all inputs to a gate reverses that gate’s essential function from AND to OR, or vice versa, and also inverts the output. So, an OR gate with all inputs inverted (a Negative-OR gate) behaves the same as a NAND gate, and an AND gate with all inputs inverted (a Negative-AND gate) behaves the same as a NOR gate.
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