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Desklib Online Library for Study Material with Solved Assignments

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Added on  2019-10-09

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This page contains solutions to homework problems related to Computer Architecture and Organization I course (CMPE 263) offered in Spring 2018 at Qatar University. The solutions cover topics such as digital logic circuits, data representation, flip-flops, priority encoders, multiplexers, memory units, and binary arithmetic. The solutions are provided in a step-by-step manner and are useful for students who want to prepare for exams or improve their understanding of the subject.

Desklib Online Library for Study Material with Solved Assignments

   Added on 2019-10-09

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Student ID:Name:Computer Architecture and Organization ICMPE 263Spring 2018March 2018Dept. of Computer Science and EngineeringCollege of EngineeringQatar UniversityHomework #1 – Spring 2018Digital Logic Circuit and Data RepresentationQuestion #1 (4 marks): Given the Boolean function:F(A,B,C,D)=∑m(0,2,3,5,7,8,10,11,13,15)1)[2 marks] Drive the simplified Boolean function in sum-of-products form by means of a four-variable Karnaugh map. 2)Draw the logic diagram with a.[1 mark] AND-OR gates;b.[1 mark] NAND gates.Question #1 Solution 1):Boolean Function from K-mapCD 00 01 11 10AB 00 01 11 10The Boolean expression is F = BD + CD + B’D’Solution 2): a) B D D F C B’ D’Page 1 of 1250101101100110111
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Student ID:Name:Solution 2): b) F= BD + CD + B’D’ = ́BD+CD+B’D’ = ́ ́BD. ́CD. ́B'D' B D C F DBDQuestion #2 (2 marks): Given a JK flip flop, show how can you convert it into a D flip-flop.Solution Truth Table Of D Flip-flopINPUTOUTPUTSPRESENTSTATENEXTSTATE DQnQn+1000010101111JK to D Conversion TableExcitation Table of JK Flip-FlopPage 2 of 12DINPUTOUTPUTSJKINPUTSPRESENTSTATENEXTSTATE DQnQn+1JK0000X010X11011X111X0OUTPUTSJKINPUTSPRESENTSTATENEXTSTATEQnQn+1JK000X011X10X111X0
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Student ID:Name: D Qn 0 1 0 1 J=D D Qn 0 1 0 1 K= ́DD J Q QCLK CLK K ́Q ́QQuestion #3 (6 mark): Design a priority encoder with three inputs X, Y, Z and three outputs A, B, C. The truth table for the circuit is shown below. a)[3 marks] Drive the minimized logic equations for A, B, and C (use Karnaugh maps).b)[3 marks] Draw the logic circuit diagram for A, B, and C.X Y ZA B C0 0 00 0 10 1 00 1 11 0 01 0 11 1 01 1 10 0 00 0 10 1 10 1 11 0 11 0 11 0 11 0 1Page 3 of 1200X112X3X011X203
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Student ID:Name:Solution 3: a) Expression for AX YZ 00 01 11 10 0 1A=X X Ab)Expression for BX YZ 00 01 11 10 0 1B= ́XY ́XBYc)Expression for CX YZ 00 01 11 10 0 1C= X + Z + YXYCZQuestion #4 (6 mark): Given a sequential circuit (shown in the figure below) that has two D flip-flops A and B, two inputs X and Y, and one output Z. a)[2 marks] Write the logic function for the flip-flops inputs DA and DB, as a function of X, Y, A and B.b)[1 mark] Write the logic function for the output Z.c)[3 marks] If the present state of A and B are A = 1 and B = 0, and the circuit inputs are X = 0 and Y = 0. Page 4 of 12000011110011000001111111
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