Digital Logic Design and Analysis
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1. Number Systems and Codes
Introduction to number system and conversions: Binary, Octal, Decimal and Hexadecimal number Systems, Binary arithmetic: addition, subtraction (1‟s and 2‟s complement), multiplication and division. Octal and Hexadecimal arithmetic: Addition and Subtraction (7‟s and 8‟s complement method for octal) and (15‟s and 16‟s complement method for Hexadecimal).
Codes: Gray Code, BCD Code, Excess-3 code, ASCII Code. Error Detection and Correction: Hamming codes.
2. Boolean Algebra and Logic Gates:
Theorems and Properties of Boolean Algebra, Boolean functions, Boolean function reduction using Boolean laws, Canonical forms, Standard SOP and POS form.
Basic Digital gates: NOT , AND , OR , NAND , NOR , EXOR , EXNOR, positive and negative logic, K-map method 2 variable, 3 variable, 4 variable, Don‟t care condition, Quine-McClusky Method, NANDNOR Realization.
3. Combinational Logic Design:
Introduction, Half and Full Adder, Half subtractor Full Subtractor, Four Bit Ripple adder, look ahead carry adder, 4 bit adder subtractor, one digit BCD Adder, Multiplexer, Multiplexer tree, Demultiplexer, Demultiplexer tree, Encoders Priority encoder, Decoders, One bit, Two bit , 4-bit Magnitude Comparator, ALU IC 74181.
4. Sequential Logic Design:
Introduction: SR latch, Concepts of Flip Flops: SR, D, J-K, T, Truth Tables and Excitation Tables of all types, Race around condition, Master Slave J-K Flip Flops, Timing Diagram, Flip-flop conversion, State machines, state diagrams, State table, concept of Moore and Mealy machine.
Counters : Design of Asynchronous and Synchronous Counters,Modulus of the Counters, UP- DOWN counter, Shift Registers: SISO, SIPO, PIPO, PISO Bidirectional Shift Register, Universal Shift Register, Ring and twisted ring/Johnson Counter, sequence generator.
5. Introduction to VHDL:
Introduction: Fundamental building blocks Library, Entity, Architecture, Modeling Styles, Concurrent and sequential statements, simple design examples for combinational circuits and sequential circuits.
6. Digital Logic Families:
Introduction: Terminologies like Propagation Delay, Power Consumption, Fan in and Fan out , current and voltage parameters, noise margin, with respect to TTL and CMOS Logic and their comparison