7. (20%) Simplify the following Boolean function F, using the two-level forms (a) AND-OR- Inverter, (b)...
For the following functions and using Boolean identities a) Simplify the given functions b) Construct the truth table for both of them showing the output of the original function and the simplified one and compare the two outputs? c) Draw the logic circuits for both the original function and the simplified one? 1. FIX, Y, Z) = X'+Y' + XY'Z 2. F(X, Y, Z) = (X+Y)(X' +Y+Z)
Simplify the Boolean function F (x, y, z) lx +y) (x'+z) and implement with two-level NOR gate circuits.
Problem 3 (10 points). Simplify the following Boolean function F and implement with: (a) Two- level NAND gate circuit; (b) Two-level NOR gate circuit. F-wx' + 'z' + wyz!
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)...
Simplify the following logic function using Boolean algebraic methods. Show your works. F = abc + abc’ + ab’c + a’bc
Simplify the following Boolean expressions to a minimum number of literals using only Boolean algebra (a) F(x, y, z) = x'· y' · z' + x · z + x'· y'· z (b) F(X, Y ) = (X' + Y ) · (X' + Y' ) (c) F(x, y, z) = (x + y + z') · (x' + y + z') · (x + y + z) · (x' + y + z) (d) F(x, y, z) = x'·...
CS1400 Sprin Homework 01 - Due date 1.Simplify the following functions using ONLY Boolean Algebra Theorems. For each resulting simplified function, sketch the logic circuit using AND, OR, and NOT gates. (20 points) F (A+C+ D(B+C+D(A+B+C) F B(C+A)+AB F (Z+XXZ+D+x) F= (.
5. Simplify the following Boolean funct e following Boolean function by means of a four-variable K-map. Show your map and groups and write the simplest equation using proper variable names. F(W,X,Y,Z) = m (0, 1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 14)
Multiplexer Example Implement the following Boolean function using a 4x1 Mux; F(x,y,z) = Σ (1,2,6,7) Decoder Example Implement the following functions for a full adder using decoder; S(x,y,z) = Σ (1,2,4,7) C(x,y,z) = Σ (3,5,6,7) Implement the following Boolean function; F(x,y,z) = Σ (0,2,3,7): Using; 1. Two 2x4 decoders and logic gates 2. One 4x1 multiplexer Decoder . Draw the truth table for the function to be implemented. . Pick the terms for output. . Derive appropriate logic to combine terms. . Use two 2x4 decoders to make one3x8 decoder. . Pay attention to fact...
Simplify the following Boolean function F, together with the don’t-care conditions d. Draw a NOR only implementation of the simplified circuit. a. F(x, y, z) = ∑m(0, 1, 4, 5, 6) d(x, y, z) = ∑m (2, 3, 7) b. F(A, B, C, D) = ∑m (5, 6, 7, 12, 14, 15) d(A, B, C, D) = ∑m (3, 9, 11) c. F(A, B, C, D) = ∑m (4, 12, 7, 2, 10) d(A, B, C, D) = ∑m (0,...