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211_Exam1_S04

# 211_Exam1_S04 - perform the following addition and...

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Name ________________ 211 Exam #1 Spring 2004 – 3/3/04 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. (3 points) Convert the unsigned number 11011.011 2 to the following bases i. Octal, ii. Decimal iii. Hexadecimal 2. (1.5 points) Convert 77.35 10 to hexadecimal (use three digits to the right of the decimal place). 3. (1 point) Using DeMorgan’s theorem show that the two symbols for OR gates are equivalent. 4. (2.5 points) Fill in the missing numbers in the table below. Show all work. Decimal 2’s complement Signed Magnitude Base 7 01100 10010 5. (3 points) Using the rules for 2’s complement arithmetic (i.e. subtraction becomes addition),
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Unformatted text preview: perform the following addition and subtraction operations using X = 11101 2 and Y = 00101 2 . Assume all numbers given are in 2’s complement representation. VERIFY BY CONVERTING BOTH NUMBERS TO DECIMAL. a) X + Y b) X -Y 6. (3 points) Simplify the following functions, using Karnaugh maps, as indicated a. F(w,x,y,z) = Σ (0,2,4,5,6,7,8,10,13,15), obtain SOP expression. b. F(A,B,C,D) = Π (1,3,5, 7,9,15) + d(4,6,12,13), obtain POS expression. c. F = A’B + BC’ + B’C’, implement using NAND gates only. 7. (1 point) Implement F = (xy’ ⊕ z)’ + z’ using logic gates. Extra Credit EC1. (1 point) In what base(s) is the following valid: • 35.07 • 25 + 3 = 31 Score 1 /3 2 /1.5 3 /1 4 /2.5 5 /3 6 /3 7 /1 EC1 /1 Total /15...
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