Page 9 - Bebop to The Boolean Boogie An Unconventional Guide to Electronics Fundamentals, Components, and Processes

viii Bebop to the Boolean Boogie

Chapter 9 Boolean Algebra ......... 80 RS Latches .................................. 112
Combining a Single Variable D-Type Latches ........................... 118
with Logic 0 or Logic 1 ........... 83 D-Type Flip-flops ........................ 120
The Idempotent Rules .................. 84 JK and T Flip-flops ...................... 123
The Complementary Rules ........... 84 Shift Registers ............................. 124
The Involution Rule ..................... 85 Counters ...................................... 126
The Commutative Rules ............... 85 Setup and Hold Times ................ 128
The Associative Rules ................... 86 Brick by Brick .............................. 130
Precedence of Operators ............... 87
The First Distributive Rule ........... 88 Chapter 12 State Diagrams.
State Tables. and
The Second Distributive Rule ...... 89 State Machines ........ 131
The Simplification Rules .............. 90 State Diagrams ............................ 132
DeMorgan Transformations .......... 92 State Tables ................................. 134
Minterms and Maxterms ............... 94 State Machines ............................ 134
Sum-of-Products and State Assignment ........................ 136
Product-of-Sums ..................... 94 Don’t Care States. Unused States.
Canonical Forms ........................... 96 and Latch-Up Conditions .... 138

Chapter 10 Karnaugh Maps ........ 97 Chapter 13 Analog-to-Digital and
Minimization Using Karnaugh Digital-to-Analog ..... 140
Maps ........................................ 98 Analog-to-Digital ........................ 140
Grouping Minterms .................... 100 Digital-to-Analog ........................ 142
Incompletely Specified
Functions .............................. 102

Populating Maps Using Os
versus 1s ................................ 103
Chapter 14 lntegrated Circuits
Chapter 11 Using Primitive Logic (ICs) ...................... 143
Functions to Build More An Overview of the Fabrication
Complex Functions ... 105 Process ................................... 143
Scalar versus Vector Notation .... 105 A More Detailed Look at the

Equality Comparators .................. 106 Fabrication Process ............... 145
Multiplexers ................................ 107 The Packaging Process ................ 151
Decoders ...................................... 109 Integrated Circuits versus
Tri-State Functions ..................... 1 10 Discrete Components ........... 155

Combinational versus Sequential Different Types of ICs ................. 155
Functions .............................. 1 I2 Technolow Considerations ........ 156
_I