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GT ECE 2030 - ECE 2030h, Intro. To Computer Eng., QUIZ 1

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Name GT ECE 2030h Intro To Computer Eng QUIZ 1 Quiz No 1 Sept 13 2001 Prof John A Copeland School of Electrical and Computer Engineering RULES i This quiz is closed book ii Non programmable calculators may be used iii Answer all questions and show all work to receive full credit iv All questions have the same weight 20 Points All sub questions within a question are weighted equally v Please do not ask the proctors any questions during the exam about exam questions Part of the test is understanding the question as written without supplemental information If you feel additional data is needed to solve the problem make and state an assumption and then work the problem Question 1 Truth Table Given the Boolean expression Out AB ABC A B Hint simplify first AB A B Complete the truth table A B C Out 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 ESC2030h Fall 01 Quiz 1 p 1 of 3 Name Question 2 CMOS Logic Draw the CMOS transistor diagram for AB CD Assume A A B B C C D and D signals are available A C B D Out A C Question 3 Logic Identities A X X Y B X Y XZ C X Y D X XY E XY YZ X Z B D Simplify the follow Boolean expressions X X Y XY X XY X Z if YZ 1 then Y 1 and Z 1 XY or X Z 1 ESC2030h Fall 01 Quiz 1 p 2 Name Question 4 Minterm and Maxterm Indices For the truth tables below express the minterm sum of products and the maxterm product of sums A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 F 0 0 1 0 0 1 0 1 sum of products A BC AB C ABC product of sums A B C A B C A B C A B C A B C Draw a Karnaugh Map for the truth table in Question 4 Circle the Prime Implicants with a solid line Label the Essential prime Implicants with a dashed line A BC F AC A BC 00 01 11 10 0 0 0 0 1 1 0 1 1 0 AC Question 5 Karnaugh Map For the Karnaugh map below circle the Prime Implicants and label the Essential Prime Implicants with EPI all are Essential Prime Implicants except A BC and A CD AB CD 00 01 11 10 00 0 1 1 0 01 1 0 1 1 11 0 0 0 1 10 0 1 1 0 Write the reduced logic expression A D A BD BCD A BC or A CD maxterm indices decimal 0 2 5 7 8 10 12 13 15 ESC2030h Fall 01 Quiz 1 p 3


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GT ECE 2030 - ECE 2030h, Intro. To Computer Eng., QUIZ 1

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