Experiment 19 - Comparison Basic Gates with NOR and NAND Gates

How did you build the basic gates with NOR gates and NAND gates? Here you compare the circuit diagrams and you are able to see some similarities.

The NOT Gate

Circuit diagram NOT gate with NOR gate.

Circuit diagram NOT gate with NAND gate.

The OR and AND Gate

Circuit diagram OR gate with NOR gates.

Circuit diagram AND gate with AND gates.

Until now the circuit diagrams do not surprise you? However, they are a direct result of the Boolean algebra and are caused by the so-called idempotency and double negation law.

The AND and OR Gate

Circuit diagram AND gate with NOR gates.

Circuit diagram OR gate with NAND gates.

The XNOR and XOR Gate

Circuit diagram XNOR gate with NOR gates.

Circuit diagram XOR gate with NAND gates.

These last two comparisons, however, are striking. They also are a direct result of the Boolean algebra. Here the most important law of Boolean algebra, De Morgan's laws comes into play.

For developers of logical modules blocks and computer chips, the De Morgan laws are essential. To understand why, you should take a look at the theme "Boolean algebra".