4 Express the function F(A, B, C)=A+B'C in a product of maxterms form. F(A, B, C) F(A, B, C) IIM(1,3,5,6) F(A, B, C) = IIM (1,4,5,6,7) F(A, B, C) IIM (0,2,3) = IIM (1,2,5,6) =
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- 11 Express the function F(A, B, C)=A+B'C in a sum of minterms form. F(A.B.C) = 2 m(0,2,5,6,7) OF(A,B,C) = Σm(1,2,5,6) OF(A, B, C) = m(1.3,5,6) F(A.B.C) m1,4,5,6,7) he 2Express the following function in sum of minterms and product of maxterms: a) F(A,B,C,D) = B’D + A’D + BD b) F = (AB+C)(B+C’D)Question 6 Simplify the following Boolean expressions using K-Map a- F(w,x,y,z)= (1,3,4,5,6,7,9,11,13,15) b- B'D'(A'C'+C)+AC'D'+BD(A'C+C')
- 1- The function F (x,y,z) = x'y' + yz is equivalent to: a ) Ση(2,3 ,4) b) Σm(2,3 ,5) C) Σm(1,2 ,5) d) Σm( 0,1,3,7)Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f = {(a,r),(b,p),(c,δ),(d,r)}, a function from Y to Z = {p, β, r, δ}, write f o g as a set of ordered pairs.Q2/ Simplify using K- map for the following : Simplify the Boolean function F(A, B, C, D, E) = (0, 2, 4, 6, 9, 13, 21, 23, 25, 29, 31) %3D 1 Add file
- 1- Express the following function as a sum of products and as a product of sums. F(w, x, y, z) = yw+xw+z'w' 2- Convert each of the following to the other canonical form a. F(x,y,z) = {(1,2,6) b. F(w, x, y, z) = (2,4,8,9)Simplify the following expression using K-Maps F(A,B,C,D)=DA'B'+CD'+ABC+A'B'CD'+ABCDImplement the following functions with PLA a) F1(A,B,C,D) = Em(0,2,7,10)+ Ed(12,15) b) F2(A,B,C,D) = Em(2,4,5) + Ed(6,7,8,10)
- 6. Show the complete PLA implementation of the following Boolean functions. P (A, B, C, D) = E(1, 2, 3, 4, 5, 12, 13) Q (A, B, C, D) = E(7, 8, 9, 10, 11, 12, 13, 14, 15) You must show the function minimization (simplification), PLA programming table (truth table) and PLA implementation (logic diagram)a) Determine the function from the K-maps below: A'B' A'B AB AB' C' 1 1 1 C 1 b) Determine the simplest form of the function:F(A, B, C, D) = Σm(0, 1, 2, 5, 7, 8, 9, 10, 13, 15)Quiz: Q1: Simplify the following function using a Karnaugh map F2(X, Y, Z) = E(3,5,6,7).