Give the Boolean expression for the function performed by the following circuit:
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!
For the Boolean function: F = xy’z +x’y’z + w’xy + wx’y + wxy a)determine the k-map b)write the new reduced equation c) write the corresponding truth table
[19 pts) Suppose that F is a Boolean function represented by a Boolean expression in the variables 2, y If F(x, y) = r +y, then find F(7,5).
Consider the following Boolean function F and express the function as indicated. F=AC+AB+BC 5pt (a) With only OR and Complement operation. 5pt (b) With only AND and Complement operation.
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)...
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...
A combinational circuit is specified by the following three Boolean functions: F(A,B,C) = Σ(3,5,6) F(A,B,C) = Σ(1,4) F(A,B,C) = Σ(2,3,5,6,7) Implement the circuit with an active-low decoder and appropriate gates
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Ouestion 6 - Boolean Functions and Digital Circuits [30% A function F takes 3 inputs x, y and z, and returns 1 if and only if exactly two of the inputs have value 1. Otherwise it returns 0. a. draw a truth table for F b. design a circuit to implement F
Ouestion 6 - Boolean Functions and Digital Circuits [30% A function F takes 3 inputs x, y and z, and returns 1 if and only if...
PROBLEM 3. Write a Boolean equation for the following digital circuit. Simplify the equation and determine if it functions as an Exclusive OR, Exclusive NOR or neither. (20 points).