Identify and explain each of the two approaches to simplify a Boolean equation derived from a truth table

3. For the following truth table, C f 0 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 a ܘ ܘ ܘ 0 1 b 1100TOO TOTOTO 1) Show the sum of minterms in numerical form. 2) Show an algebraic expression in sum of minterms form and draw the logic diagram. 3) Simplify the sum of minterms form to a minimum SOP expression (three terms, six literals). Show each step of the simplification. Draw the logic diagram using the minimum SOP expression. 4) Show the product of maxterms in numerical form. 5) Show an algebraic expression for f in product of maxterm. 6) Simplify the product of maxterm form to a minimum POS expression for f (two terms, five literals). Show each step of the simplification.

Simplifying Boolean Equations: Simplify the following Boolean equations. Show your work and list which axiom or theorem you used in each step. Your final equation should be in minimized sum-of-products(SOP) form.   M = (A + B'C)(A'D + AB + AB’C + AC')B Please list each therom used line by line during the solving process.

SHOW ALL STEPS:Using the following truth table, write the equivalent Boolean equations in Sum of Product and Product of Sum forms x y z F 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0

Write down an expression for F(X,Y,Z) in (a) sum of minterms form and (b) product of maxterms form for the truth table below: 4. Y 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Develop a truth table for the standard POS expressions

9. Give a truth table and a standard sum of products expressions form (min-terms) that describes F(A,B,C) = A OBOC

Show the logic diagram for the three-variable expression (a⊕b)c'+(b’a+c(a+b))'+(ac)’ and construct the truth table for it.