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Logic Gates. 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.

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Presentation on theme: "Logic Gates. 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."— Presentation transcript:

1 Logic Gates

2 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

3 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

4 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

5 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

6 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.

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

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

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

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

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

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

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

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

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

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

17 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

18 NAND Gate – Special Application A B Y NAND T S S T Equivalent To An Inverter Gate

19 NOR Gate - Special Application S T Equivalent To An Inverter Gate TS NOR A B Y


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