Simplify the following expressions using Boolean Algebra properties and theorems. No need to specify the theorem names. a) F = [(A + B' + C') .(A' + B + C')]' b) Ya'bc abc' + abc + a'bc' a) Analyze the following combinational circuit and find the equation for y1 and y2 outputs. Express the equations in sum of product. a Ут

Build the logic circuit, using AND and OR gates and INVERTERS. Z = [A + B + C'DE ']' + B'CD ' Also, Evaluate the output of the circuit for A = B = D =0 and C= E = 1 (Hint: Use Z equation and substitute the variables with the numerical inputs given and do your analysis)

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