The truth table for the circuit given in the figure is

  • A
    $A$$B$$Y$
    $0$$0$$1$
    $0$$1$$0$
    $1$$0$$0$
    $1$$1$$0$
  • B
    $A$$B$$Y$
    $0$$0$$0$
    $0$$1$$0$
    $1$$0$$1$
    $1$$1$$1$
  • C
    $A$$B$$Y$
    $0$$0$$1$
    $0$$1$$1$
    $1$$0$$1$
    $1$$1$$1$
  • D
    $A$$B$$Y$
    $0$$0$$1$
    $0$$1$$1$
    $1$$0$$0$
    $1$$1$$0$

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For a $NAND$ gate, the inputs and outputs are given in the table below. The values taken by $C, D, E, F$ are respectively:
Input $A$Input $B$Output $Y$
$0$$1$$C$
$0$$0$$D$
$1$$0$$E$
$1$$1$$F$

Boolean algebra is essentially based on

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