Course Objectives:
To solve a typical number base conversion and analyze new error coding
techniques.
Theorems and functions of Boolean algebra and behaviour of logic gates.
To optimize logic gates for digital circuits using various techniques.
Boolean function simplification using Karnaugh maps and Quine-McCluskey
methods.
To understand concepts of combinational circuits.
To develop advanced
sequential circuits.
UNIT – I
REVIEW OF NUMBER SYSTEMS & CODES:
Representation of numbers of
different radix, -1
conversation from one radix to
another radix,-2
r-1’s compliments and r’s compliments of
signed members.-1
BCD CODE:Gray code ,4 bit codes; BCD, Excess-3, 2421, 84-2-1 code
etc-2
Error detection &
correction codes: parity checking, even parity, odd parity, Hamming code. -2
BOOLEAN THEOREMS AND LOGIC
OPERATIONS:
Boolean theorems, De-morgan theorems, the principle of complementation & duality,.Logic operations; Basic logic operations -NOT, OR, AND, Universal Logic operations, EX-OR, EX- NOR operations. & the pin diagram and obtain truth table for the following relevant ICs 7400,7402,7404,7408,7432,7486, Standard SOP and POS Forms, NAND-NAND and NOR-NOR realizations, Realization of three-level logic circuits.
UNIT – II
MINIMIZATION TECHNIQUES:
Minimization and realization of switching functions using boolean theorems, K-Map (up to 6 variables), and tabular method(Quine-mccluskey method) with only four variables and a single function.
COMBINATIONAL LOGIC CIRCUITS DESIGN:
Design of Half adder, full adder, half subtractor, full subtractor, applications of full adders: 4-bit adder-subtractor circuit(PARALLEL BINARY ADDER), BCD adder circuit, Excess 3 adder circuit, carry look-a-head adder circuit, Design code converts using Karnaugh method and draw the complete circuit diagrams-2.
UNIT – III
COMBINATIONAL LOGIC CIRCUITS DESIGN USING MSI &LSI :
Design of Decoder Implementation of higher order circuits using lower order circuits . Realization of Boolean functions,Design of MUX ,Implementation of higher order circuits using lower order circuits . Realization of Boolean functions,Design of Decoder Implementation of higher order circuits using lower order circuits . Realization of Boolean functions,Design of MUX ,Implementation of higher order circuits using lower order circuits . Realization of Boolean functions,Design of Priority encoder-1,, 4-bit digital comparator-1, and seven segment decoder, Study the relevant ICs pin diagrams and their functions 7442,7447,7485,74154 .
INTRODUCTION OF PLD’s :
PLDs-2:PROM-2, PAL-2, PLA-2
-Basics structures, realization of Boolean functions, Programming table.
UNIT – IV
SEQUENTIAL CIRCUITS I:
Classification of sequential circuits (synchronous and asynchronous) , operation of NAND & NOR Latches and flip-flops, truth tables and excitation tables with reset and clear terminals. of RS flip-flop-1, JK flip-flop-2, T flip-flop &D flip-flop, Conversion from one flip-flop toanother flip- flop,Design of 5ripple counters, design of synchronous counters, Johnson counter, ring counter,
Design of registers - Buffer register, control buffer register, shift register, bi-directional shift register, universal shift, register,Study the following relevant ICs and their relevant functions, 7474,7475,7476,7490,7493,74121.
UNIT – V
SEQUENTIAL CIRCUITS II :
Finite state machine; state diagrams, state tables, reduction of state tables Analysis of clocked sequential circuits Mealy to Moore conversion , Realization of sequence generator,Design of Clocked Sequential Circuit to detect the given sequence (with overlapping or withoutoverlapping).
TEXT BOOKS:
1.
Switching and finite automata theory Zvi.KOHAVI,Niraj.K.Jha 3rdEdition,Cambridge
UniversityPress,2009
2.
Digital Design by M.MorrisMano,Michael D Ciletti,4th edition
PHIpublication,2008
3. Switching theory and logic
design by Hill and Peterson,Mc-Graw Hill TMH edition, 2012.
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