The symbolic representations of four logic gates are given below. The logic symbols for $OR$,$NOT$,and $NAND$ gates are respectively:

  • A
    $iv, ii$ and $i$
  • B
    $iv, i$ and $iii$
  • C
    $i, iii$ and $iv$
  • D
    $iii, iv$ and $ii$

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In the given circuit, the binary inputs at $A$ and $B$ are both $1$ in one case and both $0$ in the next case. The respective outputs at $Y$ in these two cases will be

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