Quiz2_sol

Quiz2_sol - EE 101 Quiz 2 v.1 Fall'06 Redekopp Name Lecture...

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EE 101 Quiz 2 v.1 Fall ’06 Redekopp Name: ________________________________________ Lecture 9:30 / 12:30 / 5:00 Closed Book / 40 minutes Score: ________ No calculators are allowed. Show all your work to get full credit. 1) Design a circuit that takes as input a single decimal digit, X[3:0], represented in 84-2-1 decimal code, (X 3 X 2 X 1 X 0 ), and produces as output the equivalent unsigned binary, U[3:0] (U 3 U 2 U 1 U 0 ). a) Fill in the truth table using don’t care’s where appropriate. (15 pts.) b) Use the K-Map’s below to find a minimal 2-level SOP implementation for U3 and a minimal 2-level POS implementation for U2 . Circle your final equations for U3 and U2. (20 pts.) X3 X2 X1 X0 U3 U2 U1 U0 0 0 0 0 0 0 0 0 0 0 0 1 d d d d 0 0 1 0 d d d d 0 0 1 1 d d d d 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 d d d d 1 1 0 1 d d d d 1 1 1 0 d d d d 1 1 1 1 1 0 0 1 Block Diagram X 3 X 2 X 1 X 0 U 3 U 2 U 1 U 0 0 d 1 0 d 0 d 0 0 12 8 9 13 5 1 4 0 1 0 0 d 0 d d 3 15 11 10 14 6 2 7 X 3 X 2 X 1 X 0 U 3 = X 3
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Quiz2_sol - EE 101 Quiz 2 v.1 Fall'06 Redekopp Name Lecture...

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