F17HW2Template.doc

# F17HW2Template.doc - Chapter 2 problem 4(5 pts Show a truth...

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Chapter 2, problem 4: (5 pts) Show a truth table for the following function: b) G = XY + (X' + Z)(Y + Z') Chapter 2, problem 8: (5 pts) Using Boolean Algebra, reduce the following expression to a minimum sum of products form. d) a’b’c’ + a’b’c + abc + ab’c Chapter 2, problem 10: (5 pts) Show a block diagram of a system using AND, OR, and NOT gates to implement the following function. Assume that variables are available only uncomplemented. Do not manipulate the algebra. b) ab + c(a +b) Chapter 2, problem 11: (5 pts) For the following circuit, i. find an algebraic expression ii. put it in sum of product form.

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Chapter 2, problem 14: (6 pts) For the function g in the following truth table: a) Show the minterms in numerical form. b) Show the canonical algebraic expression in sum of products form. c) Show a minimum SOP expression. d) Show the minterms of g’ in numeric form. e) Show the canonical algebraic expression in product of sums form. f) Show a minimum POS expression ( g : 2 terms, 4 literals).
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