1. Using a K-map find an optimal simplification of the following function F and don't care conditions d.
a) F(A,B,C,D) = m2 + m3 + m4 + m7 + m11; don't cares = m5 + m15
b) G(W,X,Y,Z) = m0 + m2 + mm5 + m7 + m8 + m10 + m13; don't cares = m4 + m6 + m14.
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1. Using a K-map find an optimal simplification of the following function F and don't care conditions...
Four variable k-map Variable Y is a function with inputs A, B, C, and D defined by the following minterm list with don't cares: Y = m7+m13+m15+d0+d3+d6+d8+d10+d12+d14 Use a K-map to find the optimal logic expression for Y:
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-m(5,6,7,12,14,15) +d (3,9,11,15) (Use K-maps for the simplification)
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-?m(5,6,7, 12, 14, 15) +zd (39, 11, 15) (Use K-maps for the simplification)
2. Minimize the function F(a,b,c,d) = m(0,2,6,10,11,13,15) + d(1,4) (d=don't cares) using both the K- map and the Quine McClusky tabular methods. a. On your K-map, first mark all pairs of 1s, then groups of 4. From your K-map, determine which prime implicants are essential & list them. b. How many pairs of 1s does the Quine McClusky process generate? Are they the same pairs you found on your K-map? Which prime implicants does Quine McClusky produce? Are they the...
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Using the K-Map method, find the optimized "product of sums" expression for the following function: F(W, X, Y, Z) = II (0, 1, 4, 5, 7, 9, 12, 13, 14, 15)
8) Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in sum-of-minterms form: F (A, B, C, D) = 2(4, 12, 7, 2, 10,) d(A, B, C, D) = 2(3, 9, 11, 15) d(A, B, C, D) = 2(0, 6, 8)
digital Logic For the Booelan function F together with the don't-care conditions d. Perform the following: a. Optimize the expression in Sum-of-Products form. (10 points) K.maps b. Implement the Sum-of-Products form using logic gates. (5 points) c. Determine the Inverse function F. (5 points) F(ABCD) m(2,3,8,10) d(ABCD) m(0, 6,7,13)
I Using K-Map minimize the function: f(x, y, z, w) = {(2, 4, 9, 15) + d(0, 1, 3, 6, 11,13) Do not use Boolean algebra. Use K-Maps.
Question B7 115 points] Consider the following Boolean function. F-w'x'y'z+wxz+xy+wxy'z' The don't care function is d= wx'z+ wXy'z Use K-map to find the simplest SOP realization of the above function. Write down the simplest SOP function expression. Please write down the intermediate steps.