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Logic Gates. Benchmark Companies Inc PO Box 473768 Aurora CO 80047. Text Description . A. Logic Symbol . Y. B. Truth Table . AND. AND Symbol. Boolean Expression . AND Function (7408). Output Y is TRUE if inputs A AND B are TRUE, else it is FALSE. Y = A x B = A • B = AB.

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## Logic Gates

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**Logic Gates**Benchmark Companies Inc PO Box 473768 Aurora CO 80047**Text Description **A Logic Symbol Y B Truth Table AND AND Symbol Boolean Expression AND Function (7408) Output Y is TRUE if inputs A AND B are TRUE, else it is FALSE. Y = A x B = A • B = AB**Text Description **OR A Logic Symbol Y B Truth Table OR Symbol Boolean Expression OR Function (7432) Output Y is TRUE if input A OR B is TRUE, else it is FALSE. Y = A + B**A**Y NOT Alternative Notation Y = A’ NOT Bar Y = !A Y = A NOT Function (inverter)(7404) Output Y is TRUE if input A is FALSE, else it is FALSE. Y is the inverse of A. Text Description Logic Symbol Truth Table Boolean Expression **Text Description **A bubble is an inverter This is an AND Gate with an inverted output A Logic Symbol Y B NAND Truth Table Boolean Expression Y = A x B = AB NAND Function (7400) Output Y is FALSE if inputs A AND B are TRUE, else it is TRUE.**Text Description **A bubble is an inverter. This is an OR Gate with its output inverted. A Logic Symbol Y B NOR Truth Table Boolean Expression Y = A + B NOR Function (7402) Output Y is FALSE if input A OR B is TRUE, else it is TRUE.**A**AND AND B Y OR NOT C A B C Y 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Circuit-to-Truth Table Example 2# ofInputs = # of Combinations 2 3 = 8**0**A 0 AND AND B Y OR NOT 0 C A B C Y 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Circuit-to-Truth Table Example 0 0 1 0**0**0 A 0 AND AND B 1 Y OR NOT 1 1 1 C A B C Y 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Circuit-to-Truth Table Example**0**0 A 1 AND AND B 0 Y OR NOT 1 0 0 C A B C Y 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Circuit-to-Truth Table Example**0**0 A 1 AND AND B 1 Y OR NOT 1 1 1 C A B C Y 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Circuit-to-Truth Table Example**1**0 A 0 AND AND B 0 Y OR NOT 0 0 0 C A B C Y 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 Circuit-to-Truth Table Example**1**0 A 0 AND AND B 0 Y OR NOT 0 0 1 C A B C Y 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 Circuit-to-Truth Table Example**1**1 A 1 AND AND B 1 Y OR NOT 0 0 0 C A B C Y 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 Circuit-to-Truth Table Example**1**1 A 1 AND AND B 1 Y OR NOT 0 0 1 C A B C Y 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 Circuit-to-Truth Table Example**A B**A A AND AND B Y = A B + A C OR } NOT } C A C A B C Y 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 Circuit-to-Boolean Equation**A**AND AND B Y OR NOT C A - O - I Logic AND Gates Other Logic Arrangements: NAND - NAND Logic NOR - NOR Logic OR Gates INVERTER Gates**S**T NAND S T 0 0 NAND 1 A Y B NAND Gate – Special Application 0 1 1 0 Equivalent To An Inverter Gate**S**T NOR A Y B NOR S T 0 0 1 NOR Gate - Special Application 0 1 1 0 Equivalent To An Inverter Gate

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