Lecture15 Logic Gates.ppt

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Logic Gates

Transcript of Lecture15 Logic Gates.ppt

  • Logic Gates

  • A Logic Gate and its Truth Table

  • A Logic Gate and its Truth Table

  • A Logic Gate and its Truth Table

  • A Logic Gate and its Truth Table

  • A Logic Gate and its Truth Table

  • A Logic Circuit

  • A Logic CircuitF=ABC+ABC+(C+D)(D+E)=A(B+B)C+CD+CE+DD+DE=

    =AC+CD+CE+DE=C(A+D+E)+DETo show that these two circuits have equivalent functions let us simplify the function F=ABC+ABC+(C+D)(D+E)

  • Additional Logic Gates Symbols

  • Completeness of NAND Logic Gates

  • Completeness of NOR Logic Gates

  • From Transistors to Logic Gates

  • From Transistors to Logic Gates

  • De Morgans LawsTwo complementary laws yield equivalent functions:

    (ABC)=A+B+C

    (A+B+C)=ABC