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ee101_quiz2_fall09_sol

# ee101_quiz2_fall09_sol - EE 101 Quiz 2 Fall'09 Redekopp...

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EE 101 Quiz 2 Fall ’0 9 ● Redekopp Name: ________________________________________ Lecture 9:30 / 12:30 / 2:00 Closed Book / 75 minutes Score: ________ Show all your work to get full credit. You have 75 minutes to complete this quiz. 1) (46 pts.) Comparators. You are given two 8-bit unsigned inputs: X[7:0] and Y[7:0] and two 4-bit unsigned inputs A[3:0] and B[3:0]. Produce a 4-bit unsigned output value: Z[3:0] according to the following description. a) Start by just implementing the comparison of 4*X[7:0] with Y[7:0]. Think about how 4*X can be calculated simply and then use ONLY the 2 comparators below plus a MINIMAL amount of other basic logic gates to complete the comparison design. O A<B O A=B O A>B 74LS85 A 0 A 1 A 2 A 3 B 0 B 1 B 2 B 3 I A<B I A=B I A>B X < Y X = Y X > Y O A<B O A=B O A>B 74LS85 A 0 A 1 A 2 A 3 B 0 B 1 B 2 B 3 I A<B I A=B I A>B X5 X4 X6 X7 X1 X0 X2 X3 Y6 Y7 Y5 Y4 Y2 Y3 0 0 0 Y1 Y0 Compare 4*X with Y if (4*X > Y and A[3] = 0) or (4*X = Y and A[2] = 1) then Z[3:0] = A[3:0] else Z[3:0] = B[3:0]

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b) Next, implement the “if” condition that will select the correct value for Z. Hint: The if condition is a function of how many bits??
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