COEN212-Midterm_2019.doc - Concordia University Department...

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Concordia University, Department of Electrical and Computer Engineering DIGITAL DESIGN I, COEN 212 Lecturers: A. Al-Khalili , A. Trabelsi, B Goodarzi Answer All Questions. Time Allowed 1 hr. 10min. Midterm Oct 10, 2019 Question 1 a) Add the following two BCD numbers and give your answer in BCD. Show your steps. A= 1001 0111 B= 0111 0110 (3 marks) b) Perform the following operation A - B using two’s complement method. A= 9 10 B= 13 10 Show your steps of subtraction (3 Marks) Question 2 ( Use Boolean Algebra for all parts of Question 2 ) a)-Simplify the following Boolean expression given by F, to obtain minimum SOP F(A,B,C,D) = A’ B’ C’ + A’C D + A B’ C D’ + A B’C’ ( 2 Marks) b)-Calculate the frequency of operation for the circuit given below for the gate delays : XOR = 20 ns, NAND1 = 10ns, NAND2 15ns OR = 15 ns, AND gate 12 ns (2 marks) c)-Minimize the circuit, and draw the final minimized circuit Calculate the new frequency of operation of the minimized circuit.
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