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Published byArnold Hays Modified over 2 years ago

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Logic Gates

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AND Function Output Y is TRUE if inputs A AND B are TRUE, else it is FALSE. Logic Symbol Text Description Truth Table Boolean Expression AND A B Y Y = A x B = A B = AB AND Symbol

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OR Function Output Y is TRUE if input A OR B is TRUE, else it is FALSE. Logic Symbol Text Description Truth Table Boolean Expression Y = A + B OR Symbol A B Y OR

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NOT Function (inverter) Output Y is TRUE if input A is FALSE, else it is FALSE. Y is the inverse of A. Logic Symbol Text Description Truth Table Boolean Expression AY NOT NOT Bar Y = A Alternative Notation Y = !A

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NAND Function Output Y is FALSE if inputs A AND B are TRUE, else it is TRUE. Logic Symbol Text Description Truth Table Boolean Expression A B Y NAND A bubble is an inverter This is an AND Gate with an inverted output Y = A x B = AB

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NOR Function Output Y is FALSE if input A OR B is TRUE, else it is TRUE. Logic Symbol Text Description Truth Table Boolean Expression Y = A + B A B Y NOR A bubble is an inverter. This is an OR Gate with its output inverted.

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Circuit-to-Truth Table Example OR A Y NOT AND B C 2 # of Inputs = # of Combinations 2 3 = 8 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y

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Circuit-to-Truth Table Example OR A Y NOT AND B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y 0 0 0 0 1 0 0 0

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Circuit-to-Truth Table Example 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y 0 OR A Y NOT AND B C 0 0 1 0 1 1 1 1

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Circuit-to-Truth Table Example 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y 0 1 0 OR A Y NOT AND B C 0 1 0 0 1 0 0 0

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Circuit-to-Truth Table Example 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y 0 1 0 0 OR A Y NOT AND B C 0 1 1 0 1 1 1 1

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Circuit-to-Truth Table Example 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y 0 1 0 1 0 OR A Y NOT AND B C 1 0 0 0 0 0 0 0

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Circuit-to-Truth Table Example 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y 0 1 0 1 0 0 OR A Y NOT AND B C 1 0 1 0 0 0 0 0

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Circuit-to-Truth Table Example 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y 0 1 0 1 0 0 0 OR A Y NOT AND B C 1 1 0 1 0 0 1 1

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Circuit-to-Truth Table Example 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y 0 1 0 1 0 0 1 0 OR A Y NOT AND B C 1 1 1 1 0 0 1 1

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Circuit-to-Boolean Equation OR A Y NOT AND B C A B A C A = A B + A C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C Y 0 0 0 0 0 1 1 } 1 1 }

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A - O - I Logic OR A Y NOT AND B C AND Gates INVERTER Gates OR Gates Other Logic Arrangements: NAND - NAND Logic NOR - NOR Logic

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NAND Gate – Special Application A B Y NAND T S S T 00 1 0 1 1 0 Equivalent To An Inverter Gate

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NOR Gate - Special Application S T 00 1 0 1 1 0 Equivalent To An Inverter Gate TS NOR A B Y

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