Digital Logic05 marksNumerical: K-map minimization with don't caresMinterms and maxterms representation
Given is a logic (switching) function F1 in the decimal list sum-of-minterms representation. F1(A,B,C,D)=Sigma(0,2,3,5,7), d(A,B,C,D)=Sigma(8,10,13,15)
Given is a logic (switching) function F1 in the decimal list sum-of-minterms representation. $F_1(A,B,C,D)=\Sigma(0,2,3,5,7)$, $d(A,B,C,D)=\Sigma(8,10,13,15)$ [5]
- Minterms (=1): 0, 2, 3, 5, 7 - Don't cares (=X): 8, 10, 13, 15 - Zeros: 1, 4, 6, 9, 11, 12, 14 Binary of each cell (A B C D), AB rows / CD columns: AB\CD 00 01 11 10 ----------------------- 00 1 (m0) 0 (m1) 1 (m3) 1 (m2) 01 0 (m4) 1 (m5) 1 (m7) 0 (m6) 11 0 (m12) X (m13) X (m15) 0 (m14) 10 X (m8...