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    digital digital Presentation Transcript

    • DON’T CARE CONTION
      • RULE:-
      • Karnaugh map using
      • Encircle the actual 1s on the karnaugh mapin largest grops that we can fint the by also treating the don’t care as 1s ,
      • 1s have been including grops,don’t care by visualizing them as 0s.
      • Example:-
      • F(w,x,y,z)= £( 1,3,7,11,15)
      • Has the don’t care contion:-
      • d(w,x,y,z)= £(0,2,5)
    • Karnaugh map:- Yz Yz Yz Yz WX WX WX WX F(w,x,y,z)=YZ+WZ 0 1 0 0 0 1 0 0 0 1 X 0 X 1 1 X
    • SUM OF PRODUCT &PRODUCT OF SUM
      • PRODUCT TERM
      • SUMTERM
      • SUM OF PRODUCTS EXPRESSION
      • Example:-
      • (1) Y= ((B.C).(B.C))
      • PRODUCT OF SUM EXPRESSION
      • Example:-
      • y=(B+C).(B+C)
      • TRUTH TABLE:-
      0 0 1 1 0 0 1 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 O/P Y A B C
    • SOP DIAGRAM:-
      • A A B B C C
      Y= ((B.C).(B.C))
    • POS DIAGRAM:- A A B B C C y=(B+C).(B+C)
    • BCD ADDER:-
      • 8+7=15 1000+0111
      • (8)(4)(2)(1)
      • 1 0 0 0
      • + 0 1 1 1
      • 1 1 1 1 ILLEGAL CODE
      • + 0 1 1 0 ADD 6
      • 1 0 1 0 1 =5PERMITED CODE
      • WITH A CARRY GENARATED
    • MULTIPLEXERS:- M control signals n inputs Signal multiplexer 1 o/p signal
      • TRUTH TABLE:-
      DIAGRAM:- I 3 I 2 I 1 I 0 S1 S0 I 0 I 1 I 2 I 3 Y 0 1 0 1 0 0 1 1 S0 S1
    • DEMULTIPLEXER:- M control signals n out puts Signal Demultiplexer 1 i/p signal
      • Truth table
      D0=ABE D1=ABE D2=ABE D3=ABE 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 OUT PUT D0 D1 D2 D3 I/P A B ENABLE E
      • Diagram:-
      E A B D0 D1 D2 D3