Name GT ECE2030b HW 2 Due Wed Sept 18 2002 ANSWERS 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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