[20 points] Q.3 (Problem 3.13) Sim product-of-sums form. plify the following Boolean function to (1) a...
can help me to answer question b and c ,11, 12, 3.13 Simplify the following expressions to (1) sum-of-products and (2) products-of-sums: (a) A'C' +B'C' +BC' + AB (b) ACD' + C'D + AB' + ABCD (c) ale (A' + B+ D')(A' + B' +C')( A' B' +C)(B' +C+ D') (d) BCD'+ABC' +ACD
Find the complement of the following expressions b) (AB+C)0%E 2. Given the Boolean function F -xy + x'y' y'z 1. Implement it with AND, OR, and inverter 2. Implement it with OR and inverter gates, and 3. Implement it with AND and inverter gate 3. Express the following function in sum of minterms and product of maxterms: a) F(A,B,C,D) - B'DA'D BD b) F (AB+C)(B+C'D) 4.Express the complement of the following function in sum of minterms a) F (A,B,C,D)-2 (0,2,6,11,13,14)...
Convert this Boolean function from a sum-of-products form to a simplified product-of-sums form: F(a,b,c,d) = ∑(0,1,2,5,8,10,13)
In the following diagram ifs,-1 and S 0 what will be the logic state at the output K? S2 Co Using DeMorgan's theorem, express the function F #ABC+ A'C' + A, B, with only OR and complement operators Using DeMorgan's theorem, express the function F = ABC + A,C, + A'B. with only AND and complement operators Convert the following expressions (AB +CB+ C'D) into sum-of-products (minterms) and product-of-sums (maxterms) Simplify the Boolean expression AB +ABC +ABCD +ABCDE+ABCDEF Which logic...
2.22" Convert each of the following expressions into sum of products and product of sums: (a) (AB +C)(B + C'D) (b) x +x(x y)(+z')
1. (10 point 1 effort points) Simplify the Boolean function F(A, B,C, D) - 11 (3,4,6,7,1 1,12,13,14,15). a) Generate K-Map of F b) Obtain simplified sum-of-products form of F c) Obtain simplified product-of-sums form of F Note:you should show the final prime implicants you used
11. Simplify the following Boolean expressions to a minimum number of literals: c) abcd + abc 'd + a'bd btain the truth table for the following functions and express each function in sum-of minterms and product-of-maxterms form: a) (x y')y'+2) c) (xy +yz+xz(x 2)
1. Simplify the Boolean function (F(A, B, C, D) = ∏(3,4,6,7,11,12,13.14.15) a) Generate K-Map of F b) Obtain simplified sum-of-products form of F c) Obtain simplified product-of-sums form of F Note: you should show the final prime implicants you used
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)
Problem 3: (a) Plot the following function on a Karnaugh map. (Do not expand to minterm form before plotting.) F (A,B,C,D) = BD' + BCD + ABC + ABC"D + BD' (b) Find the minimum sum of products. (c) Find the minimum product of sums. Problem 4: Find a minimum sum-of-products and a minimum product-of-sums expression for each function: (a) f(A,B,C,D):1M(0,2,10,11 , 12,14,15)·nD(57) (b) f(w.x.yz) m(0.3 ,5,7,8,9,10,12,13)+2d(1,6,1 1,14)