DECLARATION
I declare that this attachment report is my own work. Where collaboration with other people has
taken place, or material generated by other researchers is included, the parties and/or materials
are indicated in the acknowledgements or are exp

Part IB Paper 6: Information Engineering
LINEAR SYSTEMS AND CONTROL
Glenn Vinnicombe
HANDOUT 1
Signals, systems and feedback
Signals
input
+
output
Plant
Systems
Feedback
Controller
(Filled-in version of notes at
http:/www-control.eng.cam.ac.uk/gv/p6)
1
T

Part IB Paper 6: Information Engineering
LINEAR SYSTEMS AND CONTROL
Glenn Vinnicombe
HANDOUT 2
Impulse responses, step responses and transfer
functions.
transfer function
u(t)
Laplace transform
pair
g(t)
y(s)=
G(s)u(s)
G(s)
u(s)
y(t)=
Zt
0
u()g(t ) d
= u(

Part IB Paper 6: Information Engineering
LINEAR SYSTEMS AND CONTROL
Glenn Vinnicombe
HANDOUT 3
Stability and pole locations
asymptotically
stable
marginally
stable
unstable
Imag(s)
repeated
poles
+
X
Unstable
X
X
Asymptotically
stable
X
Marginally
stable

2
NUMBER SYSTEMS AND CODES
At the end of the lesson, students should be able to:
1.
2.
Count in the binary number system.
Convert from the decimal form to binary form and from binary form to
decimal form including fractions.
3. Add and subtract binary nu

6
LOGIC FUNCTION
At the end of the lesson, students should be able to:
1.
Differentiate between half-adders and full-adders.
2.
Implement a parallel binary adder
3.
Construct and test a logic functions ICs
4.
Troubleshoot common fault in logic function
UN

THE MOSFET AS A LOGIC GATE
Apart from the inverter shown above it is possible to use the NMOS transistor to form other
logic gates
Example 1
For the circuits in Fig. (a) and (b) below determine the functions implemented.
Solution
Fig. (a): if either or bo

4
BOOLEAN ALGEBRA
At the end of the lesson, students should be able to:
1.
2.
3.
4.
Explain the INVERTER, AND, OR, NAND and NOR gate using Boolean
Algebra.
Describe DeMorgans theorems to Boolean expression and evaluate Boolean
expression.
Simplification u