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The Fig.shows the input wavwforms A and ...

The Fig.shows the input wavwforms A and B for 'AND' gate. Draw the output waveform and write the truth table for this logic gate.

Text Solution

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The Boolean expression for AND gate is, `y=A.B`. It means y is equal to maximum if both A and B are maximum, otherwise minimum. Thus the waveform will be as shown in Fig.9.64 by curve y. The truth table, of AND gate is shown below:
`|{:(,A,B,y=A.B,),("For" t_(1)"to"t_(2),0,0,0,),("For" t_(2)"to" t_(3),1,0,0,),("For" t_(3)"to"t_(4),1,1,1,),("For" t_(4) "to" t_(5),0,1,1,),("For"t_(5) "to"t_(6),0,0,0,),("For" t_(6)"to"t_(7),1,0,0,),("For"t_(7)"to"t_(8),0,1,0,):}|`
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Knowledge Check

  • The truth table of a logic gate is a table

    A
    giving only the true numbers
    B
    rejecting only the wrong numbers
    C
    giving the relation between the input and output variables of a logic gate
    D
    which gives all the possible input logic levels and the corresponding resultant logic levels in the output
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