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Final exam
AT74.04 Digital and Analog design
4 Dec 2012 (3 hours)
Show all you calculation to get full credits. For all questions, you can ignore ro and
capacitor is large enough to operate as coupling and bypass capacitors.
1. Write a truth table for minority function and optimize the circuit using Karnuah
map. The system has 3 inputs, A,B, and C. The output will be the minor vote of these
3 inputs. For example if A=1, B=1, and C=0, the output will be 0. On the other hand,
if the input are A=0, B=0, and C=1, the output will be 1. (20 points)
2. You are to develop a water pump checking system. The system has 2 level sensors,
A (lower sensor) and B (upper sensor) and one output, pump enable. The pump will
start pumping the water in to the tank when lower sensor is on, and will stop when the
water reaches the upper sensor. Draw the state diagram of the system, write a truth
table, and optimize the circuit using Karnuah map. (20 points)
3. The transistor parameters are  = 100, VA = ∞, and the resisters value are RE =
16.4 kΩ, RC = 11.3 kΩ, Find the smallest signal voltage gain (20 points)
4. The transistor parameters are  = 100, VA = ∞, and the resisters value are RE = 5
kΩ, RB = 434 kΩ, find the smallest signal voltage gain (20 points)
5. The transistor parameters are  = 100, VA = ∞, determine the overall signal voltage
gain (20 points)