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# f99 - MAD 2104 Final Exam Prof S Hudson Name Try to answer...

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MAD 2104 April 21, 1999 Final Exam Prof. S. Hudson Name Try to answer the questions in the space provided. If you continue your work elsewhere, be sure to leave a note. Do not use a calculator, book, or any personal paper. You may ask about any ambiguous questions or for extra paper. If you use extra paper, be sure to hand it in with your exam. 1) A. (8 pts) Use a Karnaugh map to simplify the Boolean expression xyz + x ¯ yz + ¯ xyz + ¯ x ¯ yz + ¯ x ¯ y ¯ z . [Or, for a little extra credit, you can use the Quine McCluskey method instead (maximum 10 pts). But don’t do both]. B. (7 pts) Design a circuit (using AND, OR, NOT gates) to implement the simplified F above. [If you can’t do part A, use F = x ¯ z + ¯ yz instead of the answer to A]. 1

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2) (9 pt) Suppose F ( x, y, z ) = 1 unless exactly two of the variables x, y and z are 1 (for example, F (0 , 1 , 1) = 0). Use a table to express F in sum-of-minterm form. 3) (5 pt) Perform a postorder traversal of the tree T below and list the vertices in the order they are visited.
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