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# Digital Electronics for GATE

### Overview

In this course, you will learn all about Digital Electronics for GATE. You will learn about number systems, base or radix, conversions, complement representation, binary arithmetic, classification of binary code, binary coded decimal, BCD arithmetic, excess 3 arithmetic, gray code, ASCII, logic gates and Boolean algebra, Karnaugh Map, combinational circuits, comparators, parity bit and check bit, multiplexer, hamming code, sequential circuits, flip flops, propagation delay, shift register, counters, logic families, and much more.

### Syllabus

Digital Electronics Overview.
Introduction to Number Systems & base or radix.
Find out the base or radix.
Decimal to any other Number System Conversion.
Binary Equivalent of Decimal Number.
Decimal to Octal Number Example.
Octal equivalent of Decimal Number.
Decimal to Binary and Hexa Conversion Example.
Any other number system into decimal.
Decimal Equivalent of Binary Number.
Decimal Equivalent of Binary Number Example.
Octal to Decimal Number Conversion.
Octal to Decimal Number Example.
Octal to Binary Number Conversion.
Binary to Octal Conversion Example.
Hexadecimal to Binary and Binary to Hexa Conversion.
Hexa to Binary Conversion Example 1.
Hexa to Binary Conversion Example 2.
Hexa to Octal & Octal to Hexa Number Conversion.
Octal to Hexa Conversions Example 1.
Octal to Hexa Conversions Example 2.
Octal to Hexa Conversions Example 3.
Hexa to Octal Conversion Example 1.
Hexa to Octal Conversion Example 2.
Minimal Decimal Equivalent.
Required bits to Represent a Number - Part A.
Required bits to Represent a Number - Part B.
Match the List Octal Binary.
Find Unknown Value in a Relation.
Conversions Examples - Part 1.
Conversions Examples - Part 2.
Binary Coded Pentory Problem.
Signed Magnitude Representation.
1s & 2s Complement Representation of Signed Numbers (complement representation).
2's Complement Representation Example.
2's Complement Representation Previous GATE Problem 1.
2's Complement Representation Previous GATE Problem 2.
2's Complement Representation Previous GATE Problem 3.
2's Complement Representation Previous GATE Problem 4.
2's Complement Representation Previous GATE Problem 5.
Binary Arithmetic Subtraction.
Binary Arithmetic Multiplication.
Binary arithmetic Multiplication Example.
Binary Arithmetic Division.
Introduction to Complement Subtraction.
1’s Complement Subtraction Smaller to Larger.
1’s Complement Subtraction Smaller from Larger Example.
1’s Complement Subtraction Larger to Smaller.
1’s Complement Subtraction Larger from Smaller Example.
2’s Complement Subtraction Smaller from Larger.
2’s Complement Subtraction Smaller from Larger Example.
2’s Complement Subtraction Larger from Smaller.
2’s Complement Subtraction Previous GATE Problem.
Introduction to 15's and 16's Complement.
15’s Complement Subtraction Smaller from Larger.
15’s Complement Subtraction Smaller from Larger Examples.
15’s Complement Subtraction Larger from Smaller.
16’s Complement Subtraction Smaller from Larger.
16’s Complement Subtraction Larger from Smaller.
15’s Complement and 16s Complement Subtraction Examples.
Classification of Binary Codes.
BCD Code (Binary Coded Decimal).
9s Complement and 10s Complement.
BCD Subtraction using 9’s Complement.
BCD Subtraction using 9’s Complement Example.
BCD Subtraction using 10's Complement.
BCD Subtraction using 10's Complement Example.
Excess-3 Code.
Excess 3 Code Subtraction using 9s Complement.
Excess-3 Subtraction using 9’s Complement Example.
Excess-3 Subtraction using 10’s Complement.
Excess-3 Subtraction using 10’s Complement Example.
Gray Code & Conversion Binary to Gray.
Gray to Binary Conversion.
ASCII Code.
Introduction to Logic Gates & Boolean Algebra.
Introduction to Logic Gates.
AND Gate.
OR Gate.
NOT Gate.
NAND Gate.
NOR Gate.
EX-OR Gate.
EX NOR Gate.
Alternate Gate.
Properties of EX-OR Gate.
NAND Realization.
NOR Realization.
X-OR Gate Example.
Logic Gates Example.
Implement AND & NAND Gates.
Back Propagation Problem Example.
NAND Realization Example.
Fundamentals of Boolean Algebra.
Theorem's of Boolean Algebra.
Stuck-at-1 Fault in Logic Circuit.
Dual of Boolean Expression.
Properties of Boolean Algebra.
Boolean Equation Representation Literal.
Boolean Expression Representation in Sum of Products Form.
Boolean Expression Representation in Product of Sum Form.
Boolean Expression Representation using Canonical Form.
Min-Terms and Max-Terms in Boolean Algebra.
Converting SOP to SSOP.
Converting POS to SPOS.
Converting SSOP to SPOS.
Logic Gates GATE Problem Example.
Distributive Property GATE Problem Example.
Propagation Delay & Example.
Propagation Delay GATE Problem Example.
Transposition Property GATE Problem Example.
Logic Gates using BASIC Propagation Method GATE Problem Example.
Karnaugh Map (K-Map).
Rules for K-Map Simplification Part 1.
Rules for K-Map Simplification Part 2.
K-Maps GATE Problem Example 1.
K-Maps GATE Problem Example 2.
Boolean Expression Solving using K-Map.
Don’t care & Problem.
Boolean Expression using K-Map GATE Problem Example.
POS Expression using K-Map GATE Problem Example.
K-Map & Logic Circuit Design GATE Problem Example.
Expression Solving using Boolean Law.
Introduction to Combinational Circuits.
Designing Steps for a Combinational Circuit.
Combinational Circuit Design GATE Problem Example.
Half Subtractor.
Full Subtractor.
Comparators Part 1.
Comparators Part 2.
Binary to Gray Code Converter.
Code converter Binary to BCD.
Parity Bit & Check Bit.
Odd Parity Generator.
Even Parity Generator.
2 to 4 Decoder Design.
3 to 8 Decoder Design.
Multiplexer (MUX) 2 X 1MUX Design.
MUX Problem Part-1.
MUX Problem Part-2.
4X1 MUX.
MUX GATE problem Example part 1.
MUX GATE problem Example part 2.
MUX GATE problem Example part 3.
Introduction of Hamming Code.
Hamming Code Generation with an Example.
Hamming Code Generation Example with Even Parity.
Hamming Code Generation Example with Odd Parity.
Error Correction in Hamming Code.
Error Detection and Correction in Hamming Code.
Introduction to Sequential Circuits.
S-R Latch using NOR gates.
S-R Latch with NAND Gates.
S-R Flip Flop.
Equation for S-R Flip Flop.
D Flip Flop.
J-K Flip Flop.
T Flip Flop.
Equation for J-K Flip Flop.
Race Around Condition in J-K Flip Flop.
Excitation Table for S-R Flip Flop.
Excitation Table for D Flip Flop.
Excitation Table for J-K Flip Flop.
Excitation Table for T Flip Flop.
Flip-Flop Conversion Process Steps.
S-R to D Flip Flop Conversion.
S-R to J-K Flip Flop Conversion.
S-R to T Flip Flop Conversion.
J-K to T Flip Flop Conversion.
J-K to D Flip Flop conversion.
T to D Flip Flop Conversion.
D to T Flip-Flop Conversion.
Propagation Delay.
Flip-Flop Conversion GATE Problem Example.
Race Around Condition GATE Problem Example.
Applications of Flip-Flop.
Universal Shift Register.
Serial in Parallel out Shift Register.
Serial in Serial out Shift Register.
Shift Register Problem Example 1.
Shift Register Problem Example 2.
Introduction of Counter.
Introduction of Asynchronous Counter.
Ripple Up Counter.
Ripple Down Counter.
Synchronous Counter.
Ring Counter or Shift Register Counter.
Twisted Ring Counter or Johnson’s Counter.
Johnson’s Counter GATE Problem Example.
Ripple Counter Problem Example.
Synchronous Counters GATE Problem Example.
Modulus of Counter.
Counters Problem Example 1.
Counters Problem Example 2.
Asynchronous & Direct Inputs.
MOD 3 Asynchronous Counter.
MOD 12 Counter.
MOD Counter Example.
Introduction to Logic Families.
Characteristics of Logic Families.
Resistor Transistor Logic (RTL).
Direct Coupled Transistor Logic.
Diode Transistor Logic NAND Gate.
Diode Transistor Logic NOR Gate.
Transistor Transistor Logic.
Versions in Transistor Transistor Logic.
PMOS & NMOS Inverter.
CMOS Inverter.
PMOS NAND Gate.
PMOS NOR Gate.
Designing of Universal Gates using NMOS.
CMOS NAND Gate.
CMOS NOR Gate.
Comparision of Logic Families.
Semi Conductor Memories.
ROM (Non Volatile).
RAM (Volatile).
Difference Between SRAM & DRAM.
Introduction to Data Converters.
Binary Weighted Resistor DAC.
Dual Slope or Integrating type ADC.
Resolution of DAC.
Resolution of DAC GATE Model Example.
Tutorix Simply Easy Learning Steps.
Tutorix Brings Simply Easy Learning.
Tutorix Brings Simply Easy Learning.
Tutorix Brings Simply Easy Learning.

### Taught by

Tutorials Point (India) Ltd.

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