Digital Circuits/Gates

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Contents

Gates

AND gate Logic-gate-and-us.svg
NAND gate(not and) Nand-gate-en.svg
OR gate Or-gate-en.svg
NOR gate (not or) Nor-gate-en.svg
NOT gate (inverter) Not-gate-en.svg
XOR gate (exclusive or) Xor-gate-en.svg
XNOR gate (exclusive nor) Xnor-gate-en.svg

The NAND, NOR, NOT, and XNOR gates are just AND, OR, and XOR gates, except that their outputs are inverted (put through a NOT gate)

The XOR and XNOR gates are just OR gates with a line in front of the symbol. The XOR gate behaves just like an OR gate, but only activates on A OR B, NOT BOTH. XNOR is inverted XOR, so an XNOR gate activates when both inputs are the same.

Circuit Images

AND gate NAND (not and) gate OR gate NOR (not or) gate NOT gate (inverter) XOR (exclusive or) gate XNOR (exclusive nor) gate

The NAND, NOR, NOT, and XNOR gates are just AND, OR, and XOR gates, except that their outputs are inverted (put through a NOT gate)

The XOR and XNOR gates are just OR gates with a line in front of the symbol. The XOR gate behaves just like an OR gate, but only activates on A OR B, NOT BOTH. XNOR is inverted XOR, so an XNOR gate activates when both inputs are the same.

We can make truth tables for all the types of gates available and the outputs for the respective gates can be obtained

Timings and Delays

Combinational Circuits

For further reading

  • The Apollo Guidance Computer (Wikipedia:Apollo Guidance Computer), the first computer ever to use integrated circuits, was built from 4,100 ICs, each containing a single 3-input NOR logic gate.

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