1. Consider the function F1 = xy + xy' + yz a. Make a truth table for the function b. Express the truth table as the sum of minterms in shorthand notation. c. Express the truth table as the product of maxterms in shorthand notation. d. Write the algebraic expression for the sum of minterm expression. e. Write the algebraic expression for the product of maxterm expression. 2. Consider the Boolean Function F = xy 'z + x 'y'z + w'xy + w x'y + wxy a. Obtain a truth table of F b. Draw a logic diagram of the expression of F c. Use Boolean Algebra to simplify the function to minimum number of literals d. Obtain a truth table of the simplified function and verify it matches step b. e. Draw a logic diagram of the simplified expression. 3. Convert each of the following expressions to SOP form using Boolean Algebra techniques. (Hint: use and prove the theorem ab + a'c = (a+c)(a +b) proven in TW2ABCD problem 6d] a. (w + x' +z)(w'+ y + z ')(x + y +z) b. (a + b + c + d )(b + c + d)(b' + c) 1. Consider the function F1 = xy + xy' + yz a. Make a truth table for the function b. Express the truth table as the sum of minterms in shorthand notation. c. Express the truth table as the product of maxterms in shorthand notation. d. Write the algebraic expression for the sum of minterm expression. e. Write the algebraic expression for the product of maxterm expression. 2. Consider the Boolean Function F = xy 'z + x 'y'z + w'xy + w x'y + wxy a. Obtain a truth table of F b. Draw a logic diagram of the expression of F c. Use Boolean Algebra to simplify the function to minimum number of literals d. Obtain a truth table of the simplified function and verify it matches step b. e. Draw a logic diagram of the simplified expression. 3. Convert each of the following expressions to SOP form using Boolean Algebra techniques. (Hint: use and prove the theorem ab + a'c = (a+c)(a +b) proven in TW2ABCD problem 6d] a. (w + x' +z)(w'+ y + z ')(x + y +z) b. (a + b + c + d )(b + c + d)(b' + c)