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Properties of Boolean Algebra
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Classroom Contents
Digital Electronics for GATE
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- 1 Digital Electronics Overview
- 2 Introduction to Number Systems & base or radix
- 3 Find out the base or radix
- 4 Decimal to any other Number System Conversion
- 5 Binary Equivalent of Decimal Number
- 6 Decimal to Octal Number Example
- 7 Octal equivalent of Decimal Number
- 8 Hexadecimal Equivalent of Decimal Number
- 9 Decimal to Binary and Hexa Conversion Example
- 10 Any other number system into decimal
- 11 Decimal Equivalent of Binary Number
- 12 Decimal Equivalent of Binary Number Example
- 13 Octal to Decimal Number Conversion
- 14 Octal to Decimal Number Example
- 15 Hexadecimal to Decimal Number Conversion
- 16 Hexadecimal to Decimal Number Example
- 17 Octal to Binary Number Conversion
- 18 Binary to Octal Conversion Example
- 19 Hexadecimal to Binary and Binary to Hexa Conversion
- 20 Hexa to Binary Conversion Example 1
- 21 Hexa to Binary Conversion Example 2
- 22 Hexa to Octal & Octal to Hexa Number Conversion
- 23 Octal to Hexa Conversions Example 1
- 24 Octal to Hexa Conversions Example 2
- 25 Octal to Hexa Conversions Example 3
- 26 Hexa to Octal Conversion Example 1
- 27 Hexa to Octal Conversion Example 2
- 28 Minimal Decimal Equivalent
- 29 Required bits to Represent a Number - Part A
- 30 Required bits to Represent a Number - Part B
- 31 Match the List Octal Binary
- 32 Find Unknown Value in a Relation
- 33 Conversions Examples - Part 1
- 34 Conversions Examples - Part 2
- 35 Binary Coded Pentory Problem
- 36 Signed Magnitude Representation
- 37 1s & 2s Complement Representation of Signed Numbers (complement representation)
- 38 2's Complement Representation Example
- 39 2's Complement Representation Previous GATE Problem 1
- 40 2's Complement Representation Previous GATE Problem 2
- 41 2's Complement Representation Previous GATE Problem 3
- 42 2's Complement Representation Previous GATE Problem 4
- 43 2's Complement Representation Previous GATE Problem 5
- 44 Binary Arithmetic Addition
- 45 Binary Arithmetic Subtraction
- 46 Binary Arithmetic Multiplication
- 47 Binary arithmetic Multiplication Example
- 48 Binary Arithmetic Division
- 49 Introduction to Complement Subtraction
- 50 1’s Complement Subtraction Smaller to Larger
- 51 1’s Complement Subtraction Smaller from Larger Example
- 52 1’s Complement Subtraction Larger to Smaller
- 53 1’s Complement Subtraction Larger from Smaller Example
- 54 2’s Complement Subtraction Smaller from Larger
- 55 2’s Complement Subtraction Smaller from Larger Example
- 56 2’s Complement Subtraction Larger from Smaller
- 57 2’s Complement Subtraction Previous GATE Problem
- 58 Introduction to 15's and 16's Complement
- 59 Hexadecimal Addition
- 60 Hexadecimal Subtraction
- 61 15’s Complement Subtraction Smaller from Larger
- 62 15’s Complement Subtraction Smaller from Larger Examples
- 63 15’s Complement Subtraction Larger from Smaller
- 64 16’s Complement Subtraction Smaller from Larger
- 65 16’s Complement Subtraction Larger from Smaller
- 66 15’s Complement and 16s Complement Subtraction Examples
- 67 Classification of Binary Codes
- 68 BCD Code (Binary Coded Decimal)
- 69 BCD Addition
- 70 9s Complement and 10s Complement
- 71 BCD Subtraction using 9’s Complement
- 72 BCD Subtraction using 9’s Complement Example
- 73 BCD Subtraction using 10's Complement
- 74 BCD Subtraction using 10's Complement Example
- 75 Excess-3 Code
- 76 Excess 3 Addition
- 77 Excess-3 Addition Example
- 78 Excess 3 Code Subtraction using 9s Complement
- 79 Excess-3 Subtraction using 9’s Complement Example
- 80 Excess-3 Subtraction using 10’s Complement
- 81 Excess-3 Subtraction using 10’s Complement Example
- 82 Gray Code & Conversion Binary to Gray
- 83 Gray to Binary Conversion
- 84 ASCII Code
- 85 Introduction to Logic Gates & Boolean Algebra
- 86 Introduction to Logic Gates
- 87 AND Gate
- 88 OR Gate
- 89 NOT Gate
- 90 NAND Gate
- 91 NOR Gate
- 92 EX-OR Gate
- 93 EX NOR Gate
- 94 Alternate Gate
- 95 Properties of EX-OR Gate
- 96 NAND Realization
- 97 NOR Realization
- 98 X-OR Gate Example
- 99 Logic Gates Example
- 100 Implement AND & NAND Gates
- 101 Back Propagation Problem Example
- 102 NAND Realization Example
- 103 Fundamentals of Boolean Algebra
- 104 Theorem's of Boolean Algebra
- 105 Stuck-at-1 Fault in Logic Circuit
- 106 Dual of Boolean Expression
- 107 Properties of Boolean Algebra
- 108 Boolean Equation Representation Literal
- 109 Boolean Expression Representation in Sum of Products Form
- 110 Boolean Expression Representation in Product of Sum Form
- 111 Boolean Expression Representation using Canonical Form
- 112 Min-Terms and Max-Terms in Boolean Algebra
- 113 Converting SOP to SSOP
- 114 Converting POS to SPOS
- 115 Converting SSOP to SPOS
- 116 Logic Gates GATE Problem Example
- 117 Distributive Property GATE Problem Example
- 118 Propagation Delay & Example
- 119 Propagation Delay GATE Problem Example
- 120 Transposition Property GATE Problem Example
- 121 Logic Gates using BASIC Propagation Method GATE Problem Example
- 122 Karnaugh Map (K-Map)
- 123 Rules for K-Map Simplification Part 1
- 124 Rules for K-Map Simplification Part 2
- 125 K-Maps GATE Problem Example 1
- 126 K-Maps GATE Problem Example 2
- 127 Boolean Expression Solving using K-Map
- 128 Don’t care & Problem
- 129 Boolean Expression using K-Map GATE Problem Example
- 130 POS Expression using K-Map GATE Problem Example
- 131 K-Map & Logic Circuit Design GATE Problem Example
- 132 Expression Solving using Boolean Law
- 133 Introduction to Combinational Circuits
- 134 Designing Steps for a Combinational Circuit
- 135 Combinational Circuit Design GATE Problem Example
- 136 Design of Half Adder
- 137 Designing of Full Adder
- 138 Half Subtractor
- 139 Full Subtractor
- 140 N Bit Parallel Adder 4 Bit Parallel Adder
- 141 4-Bit Parallel Adder cum Subtractor
- 142 Designing of Full Adder using Half Adder
- 143 Carry Generation in Carry Look Ahead Adder
- 144 Carry Look Ahead Adder
- 145 BCD Adder
- 146 Excess-3 Adder
- 147 Comparators Part 1
- 148 Comparators Part 2
- 149 Binary to Gray Code Converter
- 150 Code converter Binary to BCD
- 151 Parity Bit & Check Bit
- 152 Odd Parity Generator
- 153 Even Parity Generator
- 154 2 to 4 Decoder Design
- 155 3 to 8 Decoder Design
- 156 Multiplexer (MUX) 2 X 1MUX Design
- 157 MUX Problem Part-1
- 158 MUX Problem Part-2
- 159 4X1 MUX
- 160 MUX GATE problem Example part 1
- 161 MUX GATE problem Example part 2
- 162 MUX GATE problem Example part 3
- 163 Introduction of Hamming Code
- 164 Hamming Code Generation with an Example
- 165 Hamming Code Generation Example with Even Parity
- 166 Hamming Code Generation Example with Odd Parity
- 167 Error Correction in Hamming Code
- 168 Error Detection and Correction in Hamming Code
- 169 Introduction to Sequential Circuits
- 170 S-R Latch using NOR gates
- 171 S-R Latch with NAND Gates
- 172 S-R Flip Flop
- 173 Equation for S-R Flip Flop
- 174 D Flip Flop
- 175 J-K Flip Flop
- 176 T Flip Flop
- 177 Equation for J-K Flip Flop
- 178 Race Around Condition in J-K Flip Flop
- 179 Excitation Table for S-R Flip Flop
- 180 Excitation Table for D Flip Flop
- 181 Excitation Table for J-K Flip Flop
- 182 Excitation Table for T Flip Flop
- 183 Flip-Flop Conversion Process Steps
- 184 S-R to D Flip Flop Conversion
- 185 S-R to J-K Flip Flop Conversion
- 186 S-R to T Flip Flop Conversion
- 187 J-K to T Flip Flop Conversion
- 188 J-K to D Flip Flop conversion
- 189 T to D Flip Flop Conversion
- 190 D to T Flip-Flop Conversion
- 191 Propagation Delay
- 192 Flip-Flop Conversion GATE Problem Example
- 193 Race Around Condition GATE Problem Example
- 194 Applications of Flip-Flop
- 195 Universal Shift Register
- 196 Serial in Parallel out Shift Register
- 197 Serial in Serial out Shift Register
- 198 Shift Register Problem Example 1
- 199 Shift Register Problem Example 2
- 200 Introduction of Counter
- 201 Introduction of Asynchronous Counter
- 202 Ripple Up Counter
- 203 Ripple Down Counter
- 204 Synchronous Counter
- 205 Ring Counter or Shift Register Counter
- 206 Twisted Ring Counter or Johnson’s Counter
- 207 Johnson’s Counter GATE Problem Example
- 208 Ripple Counter Problem Example
- 209 Synchronous Counters GATE Problem Example
- 210 Modulus of Counter
- 211 Counters Problem Example 1
- 212 Counters Problem Example 2
- 213 Asynchronous & Direct Inputs
- 214 MOD 3 Asynchronous Counter
- 215 MOD 12 Counter
- 216 MOD Counter Example
- 217 Introduction to Logic Families
- 218 Characteristics of Logic Families
- 219 Resistor Transistor Logic (RTL)
- 220 Direct Coupled Transistor Logic
- 221 Diode Transistor Logic NAND Gate
- 222 Diode Transistor Logic NOR Gate
- 223 Transistor Transistor Logic
- 224 Versions in Transistor Transistor Logic
- 225 PMOS & NMOS Inverter
- 226 CMOS Inverter
- 227 PMOS NAND Gate
- 228 PMOS NOR Gate
- 229 Designing of Universal Gates using NMOS
- 230 CMOS NAND Gate
- 231 CMOS NOR Gate
- 232 Comparision of Logic Families
- 233 Semi Conductor Memories
- 234 ROM (Non Volatile)
- 235 RAM (Volatile)
- 236 Difference Between SRAM & DRAM
- 237 Introduction to Data Converters
- 238 Binary Weighted Resistor DAC
- 239 R-2R Ladder DAC (Voltage Switched)
- 240 R-2R Ladder DAC (Current Switched)
- 241 Counter type ADC
- 242 Successive Approximation type ADC
- 243 Flash Parallel type ADC
- 244 Dual Slope or Integrating type ADC
- 245 Sigma Delta ADC
- 246 ADC Problem Example
- 247 Resolution of DAC
- 248 ADC GATE Model Example 1
- 249 ADC GATE Model Example 2
- 250 Flash ADC GATE Model Example
- 251 Resolution of DAC GATE Model Example
- 252 Tutorix Simply Easy Learning Steps
- 253 Tutorix Brings Simply Easy Learning
- 254 Tutorix Brings Simply Easy Learning
- 255 Tutorix Brings Simply Easy Learning
