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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