Digital Logic - Boolean Algebra

11. A graphical display of the fundamental products in a truth-table is known as

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12. Consider following switching function: f(w, x, y, z) = w'x' + w'x y'+ wx'z'+ wxy For this function, which of the following is list of essential prime impicants ?

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13. If set x = {a, b, c, d}, then number of binary operations that can be defined on x is

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14. The number of Boolean functions that can be defined for n Boolean variables over k-valued Boolean algebra are

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15. The minimum number of NAND gates required to implement the Boolean function. A + AB' + AB'C is equal to

  • Option : A
  • Explanation : y = A + AB'+AB'C = A + AB'(1+C) =A + AB' = A(1+B') =A
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