Determine the existence of Euler and/or Hamilton circuits/paths. If your answer is "yes", please write the circuit and/or path. F F в A D E Figure (a) Figure (b) Euler circuit Yes/ No Euler path Yes/ No Hamilton circuit Yes/ No Hamilton path Yes/ No Figure (a) Figure (b) Yes/ No Yes/ No Yes/ No Yes/ No

Simplify the expression using deMorgan's Theorem and draw the logic circuit for the simplified expressions.

7. Given the following truth table, write an algebraic expression for the function F, simplify the expression, and then draw a logic circuit for it. A C F 1 1 1 1 1 1 1 1 1 1 1 1

Urgent

Truth Table     A   B   X   0   0   0    0   1    0  1   0    1  1   1   1   Reconstruct the circuit above using only NAND gates. Include Boolean algebra, truth tables, and logic diagrams for the circuit reconstructed with only NAND gates.     3-1) Boolean algebra expression           Draw the reconstructed circuit and logic diagram here (only NAND gates)

2. Implement the logic circuit and the truth table for the Boolean expressions shown below. X = (A + BC) + (AB) + (CAB) X = A + B[C+D(B+C)] X = ĀB (C+ D)

Q1: Let F1 = X.Y , F2 = AOB , F3 = F1+ F2 Implement the above Boolean expression with logic circuit . giving the ... truth table.

Draw the truth table of the logic circuit, Y (A+B) + (B'.C')

A) The path is not a circuit.B) The path is a circuit, but not an Euler circuit.C) The path is an Euler circuit.

Consider a digital logic circuit that has three inputs, A, B, and C, and the output of the digital circuit is LOW only when a majority of the inputs are HIGH. Note that HIGH represents that the output is 1, and LOW represents that the output is 0.a) Interpret the problem to set up a truth table to describe its operation, relating the inputs and the outputs of the circuit. b) Based on the truth table, write the standard sum-of-product (SOP) expression for the output function c) Implement the logic circuit (sketch the logic circuit diagram) for the final simplified SOP expression using logic gates