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Computer Architecture and Organization I CMPE 263

   

Added on  2019-09-30

12 Pages1578 Words375 Views
Student ID:Name:Computer Architecture and Organization ICMPE 263Spring 2018March 2018Dept. of Computer Science andEngineeringCollege 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.Solution:Page 1 of 1250

Student ID:Name:Question #2 (2 marks): Given a JK flip flop, show how can you convert it into a D flip-flop.Page 2 of 12

Student ID:Name:Question #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 12

Student ID:Name:Question #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. Then, what will be the next state values for the flip-flops A and B? What will be the value of output Z, in this case? Page 4 of 12

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