Engineering Logic Gates
Logic gates are fundamental building blocks of digital circuits. They perform basic logical functions that are essential to digital circuits. Each gate corresponds to a specific Boolean function and operates on binary inputs to produce a binary output.
Logic Gate Integrated Circuits (ICs)
- 7400: Quad 2-input NAND gate
- 7402: Quad 2-input NOR gate
- 7404: Hex Inverter (NOT gate)
- 7408: Quad 2-input AND gate
- 7432: Quad 2-input OR gate
- 7486: Quad 2-input XOR gate
- 7410: Triple 3-input NAND gate
- 7420: Dual 4-input NAND gate
- 7421: Dual 4-input AND gate
- 7430: 8-input NAND gate
- 7483: 4-bit binary adder
- 7406: Hex Inverter with open-collector outputs
- 7411: Triple 3-input AND gate
- 7431: Quad 2-input NOR gate
- 74266 XNOR GATE: outputs are Opposite to XOR gate
Logic Gates Expressions
| Gate | Expression | Description | IC Number |
|---|---|---|---|
| AND | A ⋅ B | Output is 1 if both A and B are 1 | 7408 |
| OR | A + B | Output is 1 if at least one of A or B is 1 | 7432 |
| NAND | ¬(A ⋅ B) | Output is 0 if both A and B are 1 | 7400 |
| NOR | ¬(A + B) | Output is 1 if both A and B are 0 | 7402 |
| XOR | (A ⋅ ¬B) + (¬A ⋅ B) | Output is 1 if either A or B is 1, but not both | 7486 |
| XNOR | (A ⋅ B) + (¬A ⋅ ¬B) | Output is 1 if A and B are the same | 74266 |
| NOT | ¬A | Inverts the input; output is 1 if input is 0 | 7404 |
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