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Unformatted text preview: Digital Logic Gates Password_________________ Copyright 2009 Daniel Tylavsky There are three types of logic gates from which we can build all digital computers. Theyre all isomorphically related to semantic logic operators * Iff stands for If and only if. Consider: Iff * Sally asks John AND John accepts, then theyll go out to dinner. Digital Logic Gates Let T(*) be the truth value operator: g = T(Theyll go out to dinner) A = T(Sally Asks John) B = T(John Accepts) g=A and B = A * B = A B (Iff, Then provide the semantic equivalent of the equal sign.) Digital Logic Gates There is an electrical analog to the AND operator. + A B (F) 0 (F) 0 (F) 0 A B g=A B Truth Table AND Operator 1 1 1 1 1 When argument is true => Switch closed AND Result true => Light on Digital Logic Gates If we treat: T=1=+5 Volts F=0= 0 Volts We can build a electrical device that performs the logical AND operation on the voltage equivalent of logic values. An AND gate has the electrical schematic: A B g=A B A B g=A B Truth Table AND Operator 1 1 1 1 1 Digital Logic Gates...
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This note was uploaded on 10/21/2010 for the course CSE 120 taught by Professor Matar during the Spring '08 term at ASU.
 Spring '08
 MATAR

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