Boolean Algebra to simplify following expressions

Draw the logic diagram corresponding to the following function:             F = xy + (x+z) + x’ Simplify the function by using Logisim tools

Question 6 Use Boolean Algebra simplification theorems to simplify: F= AB + B'(C+B) + A Use the editor to format your answer

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.

Mathematics for computer science

Find the applications of the following in logic programming languages.

4. Given the function F(xy,z) = xyz + xyz + xyz a) List the truth table for F. b) Draw the logic diagram using the original Boolean expression. c) Simplify the expression using Boolean algebra and identities.

Answer must be correct and proper and must fast as possible

QUESTION 6 Use Boolean Algebra simplification theorems to simplify: F= AB' + A'(C+A) + B'