(a) Convert binary number 1011101 to a decimal number. (b) Perform the following binary subtraction using the one’s complement method. 11010 -10111

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1) (a) Convert binary number 1011101 to a decimal number.
(b) Perform the following binary subtraction using the one’s complement method.
 11010 -10111

2) A logic circuit is given below. 
(a) Draw and fill out a truth table for the logic circuit (Tip: you can add columns for 
intermediate outputs C, D and E for a help).
(b) Derive the Boolean expression from the truth table.

3) The Boolean expression of a logic operation is given below
(a) Simplify the Boolean expression using Boolean algebra and De Morgan’s Theorems
(b) Draw the circuit to implement the expression you obtain using NAND or NOR gates 
only.

4) In the context of semiconductors, describe the following:
(a) Intrinsic and extrinsic semiconductor. 
(b) Drift velocity of carriers.
(c) Band-gap energy.
(d) Frequency of light emitted by an LED.

5) Explain how doping a pure silicon crystal with donor impurity atoms makes more charge 
carriers available for conduction.
Does the above doping result in a p-type or n-type semiconductor? Explain your answer.

6) Copy the diagram of a semiconductor junction diode. Show its p-type and n-type regions 
and the depletion region. 
(a) When the diode is forward biased:
What happens to the barrier potential?
What happens to the depletion region?
Indicate on your diagram the directions in which the holes and electrons move.
(b) When the diode is reverse biased, 
Why the diode becomes less conductive? 

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