Digital Logic20775 marksNumerical: Boolean function simplificationDon't care conditions in K-maps
Simplify the Boolean function using don't care conditions d in sum of products form. and product of sums form F(A, B, C, D) = pi(1, 3, 7, 8, 12) text and pi d(5, 10, 13, 14)
Simplify the Boolean function using don't care conditions d in sum of products form. and product of sums form $F(A, B, C, D) = \pi(1, 3, 7, 8, 12) \text{ and } \pi d(5, 10, 13, 14)$ [5]
The function is given in Product of Sums (POS) form (uses $\pi$): - Maxterms (F = 0): $\pi(1, 3, 7, 8, 12)$ - Don't care terms: $d(5, 10, 13, 14)$ - Variables: $A, B, C, D$ (4 variables, cells 0-15) Minterms (F = 1) = remaining cells = $0, 2, 4, 6, 9, 11, 15$ ABCD F ABCD F -----------------------...