F(A,B,C,D) .ca
Department of Electrical and Computer Engineering
COEN 212, Digital Design , Sections F and D Dec.13, 2018
Answer all Questions. All questions carry equal marks.
Exam Duration 3 hour
No books or papers are allowed.
Examiners: Asim J. Al-Khalili and S. Das,
===============================================================
Question 1
a) Using two’s complement number system perform ( – 5 + 3 ) for a 4 bit
signed number.
b) Give a binary adder circuit diagram that performs such addition.
c) Given F(X,Y,Z) = XY + XZ’ +YZ
Implement F in NOR-NOR format, optimally.
*** Obtain optimum implementation***
Question 2
a) Design a combinational circuit decoder that examines a BCD digit and displays a letter “O” if the digit was an Odd number or “E” if it was even. Note: Zero is an even number.
b) Use the Display unit shown below. Implement the circuit using minimum number of 2*1 MUXes.
Question 3
a) Design a Half Subtractor.
b) Design a Full Subtractor using two Half Subtractors.
c) Using two 4 * 1 multiplexers implement the Full Subtractor
Question 4
Design a BCD adder that adds two BCD digits and produces a sum digit in BCD. You may use 4-bit binary adders for your design. Give the circuit diagram.
Question 5
Design a sequential circuit with two D flip flops A & B and two inputs E & F. If E=0, the circuit remains in the same state regardless of the value of F. When E=1 and F=1, the circuit goes through the state transition from 00 to 01 to 10 to 11, back to 00 and repeats. When E=1 and F=0, the circuit goes through the state transitions from 00 to 11, to 10 to 01, back to 00 and repeats.
Question 6
Analyze the circuit below fully. Derive the Transition Table, Excitation Table, State Diagram and the Output. Explain the function of the circuit.
[pic]
-----------------------
a
b c
d
e f
g
TAAAAAA
QA
CLK
CLK
FF-A
FF-B
QB
TBB
................
................
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