211_Exam1_F05

211_Exam1_F05 - literals. 5. (2.5 points) Simplify the...

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Name ________________ 211 Exam #1 Fall 2005, 10/5/05 Dr. Ladeji-Osias Instructions: Show all work to be eligible for partial credit. Please attempt all questions. Allotted time – 50 minutes. This is a closed book exam; no notes, textbooks, or calculators allowed. 1. (1.5 points) Define the following terms, and include an example. i. Sum of products ii. Prime implicant iii. Even parity 2. (2 points) Convert the number A7.25 16 to the following bases i. Octal, ii. Decimal 3. (1.5 points) Convert 171.09 10 to hexadecimal (use two digits to the right of the decimal place). i. Is your conversion correct? Verify by expanding your result as positional number system. 4. (1 point) Using Boolean algebra simplify F = (z + x’(y+z))’ to the minimum number of
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Unformatted text preview: literals. 5. (2.5 points) Simplify the following functions, using Karnaugh maps, as indicated i. F(w,x,y,z) = Σ (0,1,8,9,10,11,15), obtain SOP expression. ii. F = x’y’ + x’z + xyz’ + xy’z (indicate the minterm(s) for each term in the function), implement using NAND gates only. 6. (1.5 points) Obtain the truth table for F = (x ⊕ y’z)’ + y’. Extra Credit EC1. (0.5 point) • Why is the gray code used on 3- and 4-variable K-maps? • What are the two symbols for an AND gate? Score 1 /1.5 2 /2 3 /1.5 4 /1 5 /2.5 6 /1.5 EC1 /0.5 Total /15...
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This note was uploaded on 02/04/2010 for the course EEGR 211 taught by Professor Kemiladeji-osias during the Fall '06 term at Morgan.

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