Simplify the following using K-map and implement using NAND gates only:F(A,B,C,D) = Σ(1,3,7,11,15) + d(0,2,5)

Digital Logic Design

ScanSolve AI Answer

Simplified Boolean Expression:
F(A,B,C,D) = A'B' + CD

Steps for K-map Simplification:

  1. Construct the 4-variable K-map: Place '1's for the minterms (1, 3, 7, 11, 15) and 'd's for the don't care terms (0, 2, 5).

    | AB\CD | 00 (C'D') | 01 (C'D) | 11 (CD) | 10 (CD') |

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