# Logic Gates

Aug 6th, 2016
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Harvard University
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has sufficient and detailed notes on logic gates, basic logic gates(OR gate, AND gate and NOT gate), derived gates: NAND gate, NOR gate etc., universal gates, logic gates applications and logic families.

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SPH 2433 Lecture 7 Sep-Dec 2015SPH 2433 Digital Electronics4.5. Logic gatesA logic gate is an electronic circuit which can be used to implement logic expressions and hence perform logicaloperations such as AND, OR and NOT.There are three basic logic gates corresponding to the three basic logic operators i.e. the OR gate, the AND gate andthe NOT gate.The three basic gates are used to derive other logic gates; the NAND gate, the NOR gate, the EXCLUSIVE-ORgate and the EXCLUSIVE-NOR gate.4.5.1. Basic logic gates1. OR gateAn OR gate is a logic circuit with two or more inputs and one output.Figure 1: Circuit symbol for a 2-input OR gate.The logic expression for the OR operation on two independent logic variables A and B is written as:Y=A+B(1)This is read as Y equals A OR B. The output of such an OR gate is HIGH when either A or B is HIGH orboth are HIGH and not when both are LOW.All the input possible combinations and the corresponding outputs of a logic system are presented in atruth table. Thus, for the two input OR gate the truth table is,Generally, for an OR gate the output is LOW only when all its inputs are LOW. Illustration: 3- and 4-input ORgates,1SPH 2433 Lecture 7 Sep-Dec 2015The logic expressions for the OR operation on the 3- and 4-input logic gates are written as:o 3-input OR gate: Y = A + B + Co 4-input OR gate: Y = A + B + C + DQuestion: Implement a 3-input OR gate using 2-input OR

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