Digital circuits & Logic design

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# Syllabus........................................................................................................................................ 2
   Intorduction............................................................................................................................... 2
   Boolean Algebra ........................................................................................................................ 2
   Combinational Logical Circuits............................................................................................... 2
   Sequential logical circuits......................................................................................................... 2
   Counters..................................................................................................................................... 2
   Registers..................................................................................................................................... 2
   Detection and correction codes ................................................................................................ 2
#1 Introduction............................................................................................................................... 6
   Digital Computers..................................................................................................................... 6
   Logic Gates ................................................................................................................................ 6
   Gate Propagation Delay ........................................................................................................... 8
   Universal Gates ......................................................................................................................... 8
    NAND gate as a Universal Gate ............................................................................................. 8
#2 Boolean Algebra...................................................................................................................... 10
   Boolean Algebra ...................................................................................................................... 10
   Boolean Operations................................................................................................................. 10
   Basic Identities of Boolean Algebra....................................................................................... 10
   DeMorgan’s theorem .............................................................................................................. 11
   Complement of a function ...................................................................................................... 12
   Simplification using Karnaugh Maps ................................................................................... 12
     Variable Maps....................................................................................................................... 12
   Sum-of-Products Simplification ............................................................................................ 13
   Product-of-Sums Simplification ............................................................................................ 15
     NAND and NOR Implementation ........................................................................................ 17
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   Don' Care Conditions............................................................................................................ 17
#3 Combinational Logical Circuits ............................................................................................. 18
   Combinational Circuits .......................................................................................................... 18
   Half-Adder............................................................................................................................... 18
   Full-Adder ............................................................................................................................... 18
   Parallel Adder ......................................................................................................................... 19
     Operation............................................................................................................................... 20
   Serial Adder............................................................................................................................. 20


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       Construction.......................................................................................................................... 20
       Operation............................................................................................................................... 21
   Subtractors .............................................................................................................................. 22
     Half-subtractor ...................................................................................................................... 22
     Full-subtractor....................................................................................................................... 22
   Code Converters...................................................................................................................... 23
   Decoders................................................................................................................................... 25
     NAND Gate Decoder............................................................................................................ 27
     Decoder Expansion ............................................................................................................... 27
   Encoders................................................................................................................................... 28
   Multiplexer .............................................................................................................................. 29
   DeMultiplexer.......................................................................................................................... 29
#4 Sequential logic circuits.......................................................................................................... 32
   Flip-flops .................................................................................................................................. 32
   SR Flip-Flop ............................................................................................................................ 32
     SR Flip-Flop circuit with NAND gate .................................................................................. 33
   D Flip-Flop............................................................................................................................... 33
     D Flip-Flop with NAND gate ............................................................................................... 34
   JK Flip-Flop ............................................................................................................................ 34
   T Flip-Flop............................................................................................................................... 35
   Master-Slave JK Flip-Flop..................................................................................................... 36
   Flip-Flop Excitation Tables.................................................................................................... 37
   Sequential Circuits.................................................................................................................. 38
     Design Procedure .................................................................................................................. 38
#5 Registers .................................................................................................................................. 39
   Registers................................................................................................................................... 39
   Shift Registers.......................................................................................................................... 40
   Bidirectional Shift Register with parallel load..................................................................... 40
   Application of Shift Registers ................................................................................................ 41
#6 Counters .................................................................................................................................. 42
   Introduction............................................................................................................................. 42
   Binary Counters ...................................................................................................................... 42
     Synchronous Counters .......................................................................................................... 42
       Up counters ....................................................................................................................... 42
       Binary Up-Down counters ................................................................................................ 43
     Asynchronous counters......................................................................................................... 43



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      Up Counters ...................................................................................................................... 43
      Down counters .................................................................................................................. 44
Error detection and correction codes.................................................................................... 44




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                                                                                                                 #1 Introduction

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posted:1/2/2013
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