Course pages 2016–17
No. of lectures and practical classes: 12 + 7
Suggested hours of supervisions: 3-4
This course is a prerequisite for Operating Systems and Computer Design (Part IB), ECAD and Architecture Practical Classes (Part IB).
The aims of this course are to present the principles of combinational and sequential digital logic design and optimisation at a gate level. The use of n and p channel MOSFETs for building logic gates is also introduced.
- Introduction. Semiconductors to computers. Logic variables. Examples of simple logic. Logic gates. Boolean algebra. De Morgan’s theorem.
- Logic minimisation. Truth tables and normal forms. Karnaugh maps. Quine-McCluskey method.
- Binary adders. Half adder, full adder, ripple carry adder, fast carry generation.
- Combinational logic design: further considerations. Multilevel logic. Gate propagation delay. An introduction to timing diagrams. Hazards and hazard elimination. Other ways to implement combinational logic.
- Introduction to practical classes. Prototyping box. Breadboard and Dual in line (DIL) packages. Wiring. Use of oscilloscope.
- Sequential logic. Memory elements. RS latch. Transparent D latch. Master-slave D flip-flop. T and JK flip-flops. Setup and hold times.
- Sequential logic. Counters: Ripple and synchronous. Shift registers.
- Synchronous State Machines. Moore and Mealy finite state machines (FSMs). Reset and self starting. State transition diagrams. Elimination of redundant states.
- Further state machines. State assignment: sequential, sliding, shift register, one hot. Implementation of FSMs.
- Electronics, Devices and Circuits. Current and voltage, resistance, basic circuit theory, the potential divider. Solving non-linear circuits. Materials, semiconductors and the p-n junction, i.e., the diode. n and p channel MOSFETs and n-MOSFET logic, e.g., n-MOSFET inverter. Switching speed and power consumption problems in n-MOSFET logic. CMOS logic. Logic families. Noise margin. [3 lectures]
At the end of the course students should
- understand the relationships between combination logic and boolean algebra, and between sequential logic and finite state machines;
- be able to design and minimise combinational logic;
- appreciate tradeoffs in complexity and speed of combinational designs;
- understand how state can be stored in a digital logic circuit;
- know how to design a simple finite state machine from a specification and be able to implement this in gates and edge triggered flip-flops;
- understand how to use MOSFETs to build digital logic circuits.
- understand the effect of finite load capacitance on the performance of digital logic circuits.
* Harris, D.M. & Harris, S.L. (2013). Digital design and computer architecture. Morgan Kaufmann (2nd ed.). The first edition is still relevant.
Katz, R.H. (2004). Contemporary logic design. Benjamin/Cummings. The 1994 edition is more than sufficient.
Hayes, J.P. (1993). Introduction to digital logic design. Addison-Wesley.
Books for reference:
Horowitz, P. & Hill, W. (1989). The art of electronics. Cambridge University Press (2nd ed.) (more analog).
Weste, N.H.E. & Harris, D. (2005). CMOS VLSI Design - a circuits and systems perspective. Addison-Wesley (3rd ed.).
Mead, C. & Conway, L. (1980). Introduction to VLSI systems. Addison-Wesley.
Crowe, J. & Hayes-Gill, B. (1998). Introduction to digital electronics. Butterworth-Heinemann.
Gibson, J.R. (1992). Electronic logic circuits. Butterworth-Heinemann.