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Digital Logic Gates

Digital Logic Gates - Digital Logic Gates Password...

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Digital Logic Gates Password_________________ © Copyright 2009 Daniel Tylavsky
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There are three types of logic gates from which we can build all digital computers. They’re all isomorphically related to semantic logic operators * Iff stands for ‘If and only if.’ Consider: Iff * Sally asks John AND John accepts, then they’ll go out to dinner. Digital Logic Gates
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Let T(*) be the truth value operator: g = T(They’ll 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
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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 0 1 0 1 0 0 1 1 1 When argument is true => Switch closed AND Result true => Light on Digital Logic Gates
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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 0 0 0 A B g=A B Truth Table AND Operator 0 1 0 1 0 0 1 1 1 Digital Logic Gates
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Consider: Iff Sally asks John OR Beth Asks John then, he’ll go to the dance.
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