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Unformatted text preview: EEL3701 — Dr. Gugel NAME K6 9 Spring 2009
Exam #1 UF D# W W W 0 Open book and open notes, 90minute examination. No electronic devices are permitted.
0 All work and solutions are to be written on the exam where appropriate. Page 1) 7 points
Page 2) ‘ 16 points
Page 3) 20 points
Page 4) 1? points
Page 5) 20 points
Page 6) 20 points TOTAL of 100 Regrade Requests — Must be handed in the day exams are returned to students: problémdlt » brieS .{Zscvu‘ {on 130 Mm— meE ON THE
’ OTHER P9555 no THE ﬂag 1. Perform the following binary additions and subtractions by hand. Show all your work below.
Assume the numbers are all unsigned binary. (2,2,3 pt.) 10101 610l2
10101010 10101001 1010.101
10111011 ~10010010 X0100.010
+10001111 000ml H
Il]llOIOO Iolmowl
’7 1‘ 'o‘\010\
pa ‘ “0 ﬂ
lb [ollﬁlooolol Page 1 I Page Score = 2. Given the foliowing logic truth table, simplify with the KMap below into Minimum Sum of Products
(M80?) and Minimum Product of Sums (MPOS). (8 pt.) ABCD Y
0000 1
0001 1
0010 0
0011 0
0100 1
0101 1
0110 X
0111 1
1000 0
1001 X
1010 0
1011 1
1100 X
1101 X
1110 1 1 1111 Y (MSOP) = M v (MPOS) = W
(A+3+€) C £13m) (134640) 3. Simpﬁfy the equation below with De Morgan’s Rule and Bootean Identities to ﬁnd a MSOP. (8 pt.) ,] Y = . 61m .. (A; Y= PV—Hng‘ Q MSOP Page 2 Page Score = 4. Directiy synthesize a circuit for the foliowing equation using only 2 Input NOR gates. (10 pt.) Y = ( W+X ) ( W +2) ;Y.H, w.L, x.L. Z.H Do Not Simplify the Equation! 5. Given the 4 bit magnitude comparator below. Find the logic equation for 2H. (10 pt.) iA>B WIL L
Z.H A=B 4bit Mag Comparator iA=B . ._ X_H H
A<B iA<B Y_L L BB 32 BI BO A3 A2 A1 A0 ‘ MLLGND MLLGND
CHD.L E.LF.L
ED 1, L LL 5?,
CD H L H L 5?.
CE H H H H E? Z“: WMCQDEH CDEH CDEF +CDE? 3 Page 3 Page Score = 6. Find the iogic equation for AH, BL and Y. L. SIMPLIFY IF NECESSARY. (4, 5, 2 pt.) Dual 4:1 MUX 7. In the circuit for #6, if we remove the pultup resistor, what is the new equation for Y.L? (3 Pt.) Y1; E C®b 03mg ULTNKVtOhONFEgLL;F whit;th W EtCE—E) 8. In the circuit for #6, if you swap the pullup resistor with a pull—down, what is the new Y.L? ( Pt.) Y.L= L (“1””“325 ION!) Page 4 Page Score = 9. You are given as many Tri—state buffers with high true enables, Tristate buffers with low true
enables and puil—up, pulldown resistors as needed and no other gates. Build a 2:4 decoder with
high true inputs and outputs. The best design will receive the most points. (10 pt.) 10. Derive the iogic equation for the following circuit below. Show all intermediate terms as both high
and low signals. DO NOT SIMPLIFY. (10 pt.) E 9‘ (E 1)); ll." (ETDJ" /_ Page 5 Page Score = 11. Design a circuit that multiplies a 3 bit signed number by 2. Le. compute N x —2 where N is a 3
bit signed input. Show the block diagram for the device and show the circuits for the most
signiﬁcant bit and least signiﬁcant bit. The best design receives highest points. (14 pt.) ....3) PLIH) 12. For the Nest State Table below, draw the corresponding State Diagram. Assume the. design is
based on a simple counter consisting of (3) D FlipFlops and a corresponding logic block. (6 pt.) Q2 Q1 Q0 D2 D1 D0 001 011 010100 @
011 101 ® 2, 7 100 110 ,
101 111 b g) 110 000 111 001 Page 6 Page Score = ...
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This note was uploaded on 01/15/2012 for the course EEL 3701c taught by Professor Gugel during the Spring '05 term at University of Florida.
 Spring '05
 Gugel

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