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sp01-jh-s1

# sp01-jh-s1 - ECE 2030 Introduction to Computer Engineering...

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ECE 2030 -- Introduction to Computer Engineering EXAM #1 SOLUTION February 7, 2001 Page 1 of 4 Problem 1. (12 points) For each section of the following problem, given a function in one format express the same function in the other specified format(s). Note: “algebraic” refers to functions written in a format similar to the following: F = A B + C (D + E). A. (4 points) Given F(A, B, C) = Σ m (0, 1, 3, 4, 6) , express the function in algebraic sum-of- minterm and product-of-maxterm form. F(A, B, C) = A B C + A B C + A B C + A B C + A B C (sum-of-minterm) F(A, B, C) = (A + B + C) (A + B + C) (A + B + C) (product-of-maxterm) B. (4 points) Given G(A, B, C) = A B + B(A + C) , complete the truth table and Karnaugh map below for this function. A B C G 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 C AB 00 01 11 10 0 1 C. (4 points) Given the truth table below, complete the Karnaugh map and the short-hand SOP and POS expressions for this function. 0

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sp01-jh-s1 - ECE 2030 Introduction to Computer Engineering...

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