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Logic Gates.

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Presentation on theme: "Logic Gates."— 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 AND Symbol Y = A x B = A • B = AB

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  A B Y OR OR Symbol Y = A + B

4 NOT Function (inverter)
Output Y is TRUE if input A is FALSE, else it is FALSE. Y is the inverse of A. Text Description  Logic Symbol  A Y NOT Truth Table  Y = A’ Alternative Notation Y = !A NOT Bar Boolean Expression  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 bubble is an inverter This is an AND Gate with an inverted output A B Y NAND 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  A bubble is an inverter. This is an OR Gate with its output inverted. A B Y NOR Y = A + B

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

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

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

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

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

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

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

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

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

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

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

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

19 NOR Gate - Special Application
S T A B Y NOR 1 Equivalent To An Inverter Gate


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