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Minimize the following four variable logic function using K-map and design by using basic gates

written 5.6 years ago by | • modified 3.4 years ago |

**F(A,B,C,D) = ∑ m(0,1,2,3,4,6,8,9,11,12,14)**

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10kviews

Minimize the following four variable logic function using K-map and design by using basic gates

written 5.6 years ago by | • modified 3.4 years ago |

**F(A,B,C,D) = ∑ m(0,1,2,3,4,6,8,9,11,12,14)**

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written 5.6 years ago by | • modified 5.5 years ago |

**Step:1**

**Simplification using K-map**

$So, $

$f(A, B, C, D) = (B+D)+(\overline{B} + \overline{D})$

This is the required expression in POS form.

**Step:2**

**Implementation using NOR gates**

Taking double inversion of R.H.S.

$ f(A, B, C, D) = \overline{\overline{(B+D)(\overline{B} + \overline{D})}}$

$\hspace{2.5cm}= \overline{\overline{(B+D)}.\overline{(\overline{B}+\overline{D})}}$

Above is the implementation using NOR gate.

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