UNIT I: NUMBER SYSTEMS & CODES
Philosophy of number systems – complement representation of negative numbers-binary arithmetic-binary codes-error detecting & error correcting codes –hamming codes.
UNIT II: BOOLEAN ALGEBRA AND SWITCHING FUNCTIONS
Fundamental postulates of Boolean Algebra - Basic theorems and properties - switching functions–Canonical and Standard forms-Algebraic simplification digital logic gates, properties of XOR gates –universal gates-Multilevel NAND/NOR realizations.
UNIT III: MINIMIZATION OF SWITCHING FUNCTIONS
: Map method, Prime implicants, Don’t care combinations, Minimal SOP and POS forms, Tabular Method, Prime –Implicant chart, simplification rules.
UNIT IV: COMBINATIONAL LOGIC DESIGN
Design using conventional logic gates, Encoder, Decoder, Multiplexer, De-Multiplexer, Modular design using IC chips, MUX Realization of switching functions Parity bit generator, Code-converters, Hazards and hazard free realizations.
UNIT V: PROGRAMMABLE LOGIC DEVICES, THRESHOLD LOGIC
: Basic PLD’s-ROM, PROM, PLA, PLD Realization of Switching functions using PLD’s. Capabilities and limitations of Threshold gate, Synthesis of Threshold functions, Multigate Synthesis.
UNIT VI: SEQUENTIAL CIRCUITS -I
Classification of sequential circuits (Synchronous, Asynchronous, Pulse mode, Level mode with examples) Basic flip-flops-Triggering and excitation tables. Steps in synchronous sequential circuit design. Design of modulo-N Ring & Shift counters, Serial binary adder,sequence detector.
UNIT VII: SEQUENTIAL CIRCUITS - II
Finite state machine-capabilities and limitations, Mealy and Moore models-minimization of completely specified and incompletely specified sequential machines, Partition techniques and Merger chart methods-concept of minimal cover table.
UNIT VIII: ALGORITHMIC STATE MACHINES
Salient features of the ASM chart-Simple examples-System design using data path and control subsystems-control implementations-examples of Weighing machine and Binary multiplier.
TEXT BOOKS:
Switching & Finite Automata theory – Zvi Kohavi, TMH,2nd Edition.
Digital Design – Morris Mano, PHI, 3rd Edition, 2006.
REFERENCE BOOKS:
1) An Engineering Approach To Digital Design – Fletcher, PHI. Digital Logic – Application and Design – John M. Yarbrough, Thomson.
Fundamentals of Logic Design – Charles H. Roth, Thomson Publications, 5th Edition, 2004.
2) Digital Logic Applications and Design – John M. Yarbrough, Thomson Publications, 2006
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