Name GT#________ESC2030h Fall ’01 - Quiz 1 p. 1 of 3ECE2030b HW-2 Due Wed. Sept.18, 2002 --- ANSWERSQuestion 1 – Truth Table.Given the Boolean expression: Out = AB + ABC + A’B’Hint – simplify first _______ AB + A’B’___________Complete the truth table.ABCOut00010011010001101000101011011111Name __________________________ESC2030h Fall ’01 - Quiz 1 p. 2Question 2 – CMOS LogicDraw the CMOS transistor diagram for AB + CD. Assume A, A’, B, B’, C, C’,D’ and D’ signals areavailable.Question 3 – Logic Identities Simplify the follow Boolean expressions:A. X(X+Y) X B. X + Y + XZ X + Y C. (X’ + Y’)’ XY D. X + XY X E. XY + YZ + X’Z XY + X’Z (if YZ =1 then Y=1 and Z=1 & XY or X’Z =1) OutA’C’D’''B’B’A’D’C’Name __________________________ESC2030h Fall ’01 - Quiz 1 p. 3Question 4 – Minterm and Maxterm IndicesFor the truth tables below, express the minterm sum of products, and the maxterm product of sums:ABCF00000010010101101000101111001111sum 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. F = AC + A’BC’A \ BC000111100000110110 ACQuestion 5 – Karnaugh Map For the Karnaugh map below, circle the Prime Implicants and labelthe Essential Prime Implicants with “EPI” [all are “Essential” Prime Implicants except A’BC and A’CD].AB \ CD00011110000110011011110001100110Write 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,
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