Computer Organization I Solution 3/Version 1 CMSC 2833 Autumn 2007

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1 omputer Organization I Solution /Version MS 8 utumn. Print your name on your scantron in the space labeled NME.. Print MS 8 in the space labeled SUJET.. Print the date, --, in the space labeled DTE.. Print your RN, 9, in the space labeled PERIOD.. Print the test number and version, T/V, in the space labeled TEST NO.. This is a closed-book eamination. No reference materials are permitted. No notes are permitted.. You may not consult your neighbors, colleagues, or fellow students to answer the questions on this test. 8. ellular phones are prohibited. The possessor of a cellular phone will receive a zero () if the phone rings or is visible during the test. 9. You may use your personal calculator on this test. You are prohibited from loaning your calculator or borrowing a calculator from another person enrolled in this course.. Mark the best selection that satisfies the question. If selection b is better that selections a or d, then mark selection b. Mark only one selection.. Darken your selections completely. Make a heavy black mark that completely fills your selection.. nswer all questions.. Record your answers on SNTRON form 88-E (It is green!)

2 omputer Organization I Solution /Version MS 8 utumn. Find the correct reduced epression for F(,, ) implemented in figure. a. F = + ( + ) + ( + ) b. F = + ( + ) + ( + ) c. F = + ( + ) + ( + ) orrect d. F = + ( + ) + ( + ) F Figure. F (,, ) Figure. Solution to question.. The headecimal value E is equal to a. octal b. decimal c. binary d. base nswer: E

3 omputer Organization I Solution /Version MS 8 utumn. Reduce the equation F = + +. a. F = b. F = + orrect c. F = d. F = + nswer:. Epress F given in the truth table below using Σ notation. F a. F (,, ) = + + b. F(,, ) = m(,,,,) orrect c. F (,, ) = m(,,,,8) d. F,, ) = ( nswer: F

4 omputer Organization I Solution /Version MS 8 utumn. Find the headecimal codes for the SII sequence Quiz. You may wish to refer to table, SII haracter SET, at the end of this questionnaire. a. 9 b. 9 c. 9 d. 99 nswer: Letter Q u i z Decimal 8 He 9

5 omputer Organization I Solution /Version MS 8 utumn. Which circuit diagram in figure correctly implements F (,,, = m(,,,8,9,, )? D D D D F F a b D D D D F c Figure Implementations of F F d

6 omputer Organization I Solution /Version MS 8 utumn nswer: D 8 9 F = D + + D There is no correct answer!. onvert MIND base to decimal. a. b. 9 c. 9 d. 8 9 D E F G H 8 9 I J K L M N O P Q R S T U V W X Y Z Table. ase onversion 8. Find the ten's complement number.. a.. b. -. c.. d. -. nswer: quit is a four-state device. How many quits are needed to epress the decimal number. a. b. 9 c. 8 d. ln ln nswer: n = log = =

7 omputer Organization I Solution /Version MS 8 utumn. Find the optimal -level SOP epression for W (,,, and X (,,, where D is a -bit D code and WXYZ is an ecess- code. Three is added to every valid D code in an ecess- code. Inputs Outputs Decimal D W X Y Z a. W (,,, = + + D, X = + D + D b. W (,,, = + + D, X = + D + D c. W (,,, = + + D, X = + D + D d. W (,,, = + + D, X = + D + D There is no correct solution.

8 omputer Organization I Solution /Version MS 8 utumn nswer: Inputs Outputs Decimal D W X Y Z 8 9 D D W (,,, = + + D X (,,, = + D + D 8

9 omputer Organization I Solution /Version MS 8 utumn. Find the materm epression for F (,,, = D + D. a. F,,, b. F,,, c. F,,, d. F,,, ( = M (,,,,9,,,) ( = M (,,,,8,,,) ( = m(,,,,9,,,) ( = m(,,,,8,,,) orrect nswer: D 8 9 F(,,, = D + D 9

10 omputer Organization I Solution /Version MS 8 utumn D 8 9 F (,,, = M (,,,,9,,,)

11 omputer Organization I Solution /Version MS 8 utumn. Find the two s complement representation of -.. a.. b.. c.. d. -. nswer: =. = Find the headecimal sequence to send each of the characters of Final with odd parity. parity bit is appended onto a -bit SII character. The parity bit is the rightmost bit of every 8-bit message. You may wish to refer to table, SII haracter Set, at the end of this questionnaire. a. 8DDDD9 b. 8DDD9 c. 8DDD9 d. 8DDD8 nswer: F i n a l SII Decimal 9 8 SII He 9 E SII inary Odd Parity Odd Parity in He 8 D D D9

12 omputer Organization I Solution /Version MS 8 utumn. Which epression for F (,,, = ( + )( + + ( + + is the minimized SOP form of F? a. F (,, ) = + D + D b. F (,, ) = + D + D c. F (,, ) = + + D d. F (,, ) = + + D There is no correct answer. nswer: D 8 9 F(,,, = + D + D F(,,, = + D + D F (,,, = ( + )( + + ( + + D 8 9. Design a combinational circuit that will find selection that identifies the correct implementation. a. Figure b. b. Figure c. orrect c. Figure d. d. Figure a. F (,,, = D + + > where and are -bit vectors. Mark the

13 omputer Organization I Solution /Version MS 8 utumn > -to- decoder 8 9 > Figure a. > -to- decoder 8 9 >

14 omputer Organization I Solution /Version MS 8 utumn Figure b. > -to- decoder 8 9 > Figure c. > -to- decoder 8 9 > Figure d. >

15 omputer Organization I Solution /Version MS 8 utumn nswer: > Decimal 8 9 F (,,, = m(,8,9,,,) -to- decoder 8 9 > Note: must be connected to the most significant selector,.

16 omputer Organization I Solution /Version MS 8 utumn. Which of the identities given in below figure is not a basic identity of oolean algebra? a. + = b. + = orrect, not a basic identity. c. + = d. + = + nswer a. + = ( + ) = b. + = + + = + + = ( + ) = () = c. d. + = +

17 omputer Organization I Solution /Version MS 8 utumn. Which transition fails the test for a Gray code sequence? a. -> orrect b. -> c. -> d. -> nswer: a bits changed b bit changed c bit changed d bit changed 8. Subtract. from. using ten s complement arithmetic. a. 9. orrect b. -. c..8 d. -9. nswer Subtrahend. 9 s complement. 8 s complement. 8 Minuend. s complement subtrahend. 8 s complement difference s complement difference 9. 9 s complement. complement. Subtrahend -. Minuend +. Difference (check) -.

18 omputer Organization I Solution /Version MS 8 utumn 9. Subtract from using two s complement arithmetic and 8-bit operands. Epress the result in headecimal. a. - b. -9 c. E d. F Subtrahend = s complement subtrahend s complement subtrahend Minuend = s comple ment subtrahend s complement difference s complement difference s complement difference magnitude = heck Subtrahend - Minuend + Difference -. What kind of flip-flop is shown in figure? a. locked T flip-flop b. locked SR flip-flop c. locked JK flip-flop d. locked D-Latch flip -flop orrect Figure. Flip-flop logic diagram for question. 8

19 omputer Organization I Solution /Version MS 8 utumn. Select the correct signal label for the signal marked V on the flip-flop diagrammed in figure. a. R b. S orrect (locked SR Flip-Flop) c. T d. D V Y W Z X Figure. Flip-flop logic diagram for question.. What is the minimum number of flip-flops are required to implement the state diagram shown in figure? a. b. (correct) c. d. D E N F M G L K J I H nswer log = log =.8 = N = States Figure. State diagram for question. 9

20 omputer Organization I Solution /Version MS 8 utumn. What are the equations for D, D and,, a. D =, D =, D orrect = =, D =, D = b. D c. D =, D =, D = d. D =, D =, D = D given the state diagram in figure? Figure. State diagram for question. Present State Net State

21 omputer Organization I Solution /Version MS 8 utumn nswer: Present State Net State D = D = D =

22 omputer Organization I Solution /Version MS 8 utumn. What are the equations for K, J, K, J, J and,, J given state table? a. J =, K =, J =, K =, J =, K = = = = K = J = K =, J = K = b. J =, K =, J =, K =, J =, K c. J = K =, J = K =, J = K d. J, orrect Present State Net State J K Net State ode J State Table for question. K J K

23 omputer Organization I Solution /Version MS 8 utumn nswer Qn fi Qn+ J K Present State Net State J K Net State ode State Table for question. J K J K J = K = J = K = J = K =

24 omputer Organization I Solution /Version MS 8 utumn. What are the equations for D and, a. D = + U, D = U + b. D = + U, D = U + + U D = + = + U, D = + c. D U =, correct d. D U D given the logic diagram in figure? U U LK D D Q Q Q Q Figure. Logic diagram for question.

25 omputer Organization I Solution /Version MS 8 utumn. The state diagram in figure was used to design the circuit in figure. What is the state assignment for state a? a. = orrect b. = c. = d. = a b c d Figure. Logic diagram for question.

26 omputer Organization I Solution /Version MS 8 utumn nswer U U D = + U D = + U m U m a b d c. What is the net state given the current state is = and input value U =? a. = b. = c. = d. = orrect, review answer for question.

27 omputer Organization I Solution /Version MS 8 utumn 8. Given two -bit registers =? and =, what is the result of the operation a. b. orrect c. d. nswer: 9. What does K R R, K K R mean? a. if ( b. ssign register : R K ) then R R ; else if ( K ) R R ; orrect R the contents of register Rif control signal K = R the contents of register R if K = or, if K =, c. Simultaneously assign register assign registerr the contents of register d. none of the other alternatives. Given two -bit registers = and =, what is the result of the operation? a. orrect b. c. d. nswer:

28 omputer Organization I Solution /Version MS 8 utumn Decimal ode SII haracter Decimal ode SII haracter Decimal ode SII haracter Decimal ode NUL 9 ` SOH! 9 a STX 98 b ETX # 99 c EOT $ 8 D d ENQ % 9 E e K 8 & F f EL 9 G g 8 S ( H h 9 HT ) I i LF * J j VT + K k FF, L 8 l R - M 9 m SO. 8 N n SI / 9 O o DLE 8 8 P p D 9 8 Q q 8 D 8 R r 9 D 8 S s D 8 T t NK 8 U u SYN 8 V 8 v ET 8 W 9 w N 8 88 X EM 9 89 Y y SU 8 : 9 Z z ES 9 ; 9 [ { 8 FS < 9 \ 9 GS = 9 ] } RS > 9 ^ ~ US? 9 _ DEL Table. SII haracter Set SII haracter 8

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