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Introduction to
Digital Concepts
This presentation introduces the fundamental concepts of digital
electronics, with a focus on number systems. We will delve into the
representation of numerical values and the advantages and limitations
of digital techniques. Explore the decimal and binary number systems
and understand how they are used in digital applications.
by Mark Saura
MS
Objectives of the
Presentation
1 Understand Digital
Representation
Learn the two primary
methods used to represent
numerical values in digital
systems.
2 Explore Digital
Advantages
Gain insights into the
benefits of using digital
techniques in electronics.
3 Discover Digital
Limitations
Explore the drawbacks and
limitations of digital
technology, and understand
their impact.
4 Master Number
Systems
Acquire a thorough
understanding of the
decimal and binary number
systems, crucial for digital
electronics.
Representing Numerical Values
Analog Representation
Analog systems use continuous signals, representing
values as varying physical quantities, like voltage or
current.
Digital Representation
Digital systems use discrete signals, representing values
with distinct on/off states, typically represented by 1s and
0s.
Analog representation is what you might be more
familiar with.
Continuous Values
Analog systems deal with continuous values, where
measurements can vary smoothly.
Imagine looking at a traditional wall clock with hands that
move smoothly. The hands never stop at an exact number;
they continuously sweep through the entire clock.
Analog Representation
The second hand on a clock doesn't jump from one number
to the next; it moves smoothly around the dial, illustrating
the continuous nature of time.
Think of the fuel gauge in your car. As you drive, the fuel
decreases gradually. The needle doesn't jump from full to
empty; it slowly moves, showing the smooth transition of
fuel levels.
Digital Representation
Analog Time
Analog systems use continuous signals, representing values
as varying physical quantities, like voltage or current.
Digital Time
On the other hand, digital is all about discrete, step-by-step
representation. Think about a digital clock. Instead of a
smooth, continuous motion, the numbers change in steps—
one minute at a time. So while the time is still flowing
continuously, the way it’s represented on the clock jumps
from one minute to the next.
Example: Digital Thermometer
Discrete Readings
A digital thermometer may show temperatures like 36.5°C or 36.6°C, but it doesn’t display values like 36.51°C. The
temperature readings are discrete, meaning they take specific steps.
In Short
1
Discrete Readings
A digital thermometer may show temperatures like
36.5°C or 36.6°C, but it doesn’t display values like 36.51°C.
2
Analog = continuous values.
Digital = discrete values (steps).
3
Analog Thermometer
Analog thermometers have a continuous scale, with the
mercury or alcohol expanding and contracting smoothly.
Advantages and Limitations
of Digital Techniques
Advantages:
Easier to Design
Digital systems only
need to recognize
two states: HIGH (1)
or LOW (0). This
makes it much easier
to design circuits and
systems because you
don’t need to worry
about exact values.
Easy Information
Storage
With digital
techniques, storing
data is
straightforward.
Information is stored
in the form of binary
digits (0s and 1s),
which is easy to save
and retrieve.
Greater Accuracy
and Precision
Digital systems can
perform very precise
calculations.
Programma
ble
Digital systems can
be programmed to
perform a wide
variety of tasks, from
simple calculations to
complex processes.
Less Noise
Interference
Digital circuits are
less affected by
electrical noise. As
long as the noise
doesn’t disturb the
HIGH or LOW states,
the system functions
perfectly.
Compact
Circuits
Digital technology
allows us to fit more
circuits into smaller
spaces.
Limitations of Digital Techniques
Real World is Analog
While digital systems have many advantages, there’s one big
limitation: the real world is analog.
Conversion is Needed
Most physical things around us, like temperature, sound, and
light, are continuous (analog). To process these in a digital
system, we need to convert them.
To take advantage of digital techniques when
dealing with analog inputs and outputs, three steps
must be followed:
Convert the real-world
analog inputs to
digital form. (ADC)
This step is crucial for bringing the real-
world analog signal into the digital
domain, where it can be processed
effectively.
Process (operate on)
the digital
information.
Once converted to digital form, the
information can be manipulated,
stored, and transmitted efficiently.
Convert the digital
outputs back to real-
world analog form.
(DAC)
This final step converts the processed
digital information back into an analog
signal, making it usable in the real
world.
Analog/Digital Conversion in a Temperature
Control System
Analog Input
The system begins with an analog
temperature sensor, which measures
the actual temperature in the
environment.
Digital Processing
This analog signal is then converted
into a digital format using an analog-
to-digital converter (ADC). This allows
the digital controller to understand and
process the temperature information.
Digital Output
Finally, the controller sends a digital
signal to an actuator, which controls
the heating or cooling system to
maintain the desired temperature.
Introduction-to-Digital Electronics Concept
A Brief Review of Decimal and Binary Number
System
The Familiar Decimal System
Many number systems are in use in digital technology. The most common are the decimal, binary, octal, and
hexadecimal systems. The decimal system is clearly the most familiar to us because it is a tool that we use every day.
Examining some of its characteristics will help us to better understand the other systems.
The Decimal System (Base 10)
A Familiar System
We use the decimal system daily, based on 10 digits: 0, 1, 2, 3,
4, 5, 6, 7, 8, 9. These digits can be combined to form any
number.
Breakdown of the Number 342
The number 342 can be broken down as:
This is just a way of expressing that:
3 is in the hundreds place 4 is in the tens place 2 is in the ones place
When you multiply and add these values, you get 342.
Binary System
Binary Representation
The binary system uses only two symbols, 0 and 1, to
represent any quantity that can be represented in the
decimal or other number systems.
Foundation of Computing
This base-2 system is fundamental to the operation of
computers and other digital devices, where the 0s and 1s
represent the two states of electricity (on or off).
Binary System
Base 2
The binary system is essential for computers. It only
uses two digits: 0 and 1. Computers use binary because
it's easy to represent two states—ON or OFF, HIGH or
LOW—electronically.
Example
The binary number 1011 can be broken down as:
This equals 11 in the decimal system.
Representing Binary Quantities
Binary in Digital Systems
In digital systems, all information is represented in binary
form. A switch is a great example: it’s either ON or OFF,
representing either a 1 or a 0. The binary system is perfect
for electronic devices because they can easily recognize two
states.
Voltage Levels in Binary
Voltage Levels in Binary:
Binary 1: Any voltage between 2V and 5V.
Binary 0: Any voltage between 0V and 0.8V.
In digital systems, the exact voltage doesn’t matter as long
as it falls within the range for a 1 or a 0.
Conclusion and Key
Takeaways
Digital electronics relies heavily on binary representation, with the
decimal system acting as a familiar bridge. Understanding both systems
is crucial for effectively working with digital devices and technologies.
The presented concepts form a foundation for exploring further
complexities in the world of digital electronics.

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Introduction-to-Digital Electronics Concept

  • 1. Introduction to Digital Concepts This presentation introduces the fundamental concepts of digital electronics, with a focus on number systems. We will delve into the representation of numerical values and the advantages and limitations of digital techniques. Explore the decimal and binary number systems and understand how they are used in digital applications. by Mark Saura MS
  • 2. Objectives of the Presentation 1 Understand Digital Representation Learn the two primary methods used to represent numerical values in digital systems. 2 Explore Digital Advantages Gain insights into the benefits of using digital techniques in electronics. 3 Discover Digital Limitations Explore the drawbacks and limitations of digital technology, and understand their impact. 4 Master Number Systems Acquire a thorough understanding of the decimal and binary number systems, crucial for digital electronics.
  • 3. Representing Numerical Values Analog Representation Analog systems use continuous signals, representing values as varying physical quantities, like voltage or current. Digital Representation Digital systems use discrete signals, representing values with distinct on/off states, typically represented by 1s and 0s.
  • 4. Analog representation is what you might be more familiar with. Continuous Values Analog systems deal with continuous values, where measurements can vary smoothly. Imagine looking at a traditional wall clock with hands that move smoothly. The hands never stop at an exact number; they continuously sweep through the entire clock.
  • 5. Analog Representation The second hand on a clock doesn't jump from one number to the next; it moves smoothly around the dial, illustrating the continuous nature of time. Think of the fuel gauge in your car. As you drive, the fuel decreases gradually. The needle doesn't jump from full to empty; it slowly moves, showing the smooth transition of fuel levels.
  • 6. Digital Representation Analog Time Analog systems use continuous signals, representing values as varying physical quantities, like voltage or current. Digital Time On the other hand, digital is all about discrete, step-by-step representation. Think about a digital clock. Instead of a smooth, continuous motion, the numbers change in steps— one minute at a time. So while the time is still flowing continuously, the way it’s represented on the clock jumps from one minute to the next.
  • 7. Example: Digital Thermometer Discrete Readings A digital thermometer may show temperatures like 36.5°C or 36.6°C, but it doesn’t display values like 36.51°C. The temperature readings are discrete, meaning they take specific steps.
  • 8. In Short 1 Discrete Readings A digital thermometer may show temperatures like 36.5°C or 36.6°C, but it doesn’t display values like 36.51°C. 2 Analog = continuous values. Digital = discrete values (steps). 3 Analog Thermometer Analog thermometers have a continuous scale, with the mercury or alcohol expanding and contracting smoothly.
  • 9. Advantages and Limitations of Digital Techniques Advantages: Easier to Design Digital systems only need to recognize two states: HIGH (1) or LOW (0). This makes it much easier to design circuits and systems because you don’t need to worry about exact values. Easy Information Storage With digital techniques, storing data is straightforward. Information is stored in the form of binary digits (0s and 1s), which is easy to save and retrieve. Greater Accuracy and Precision Digital systems can perform very precise calculations. Programma ble Digital systems can be programmed to perform a wide variety of tasks, from simple calculations to complex processes. Less Noise Interference Digital circuits are less affected by electrical noise. As long as the noise doesn’t disturb the HIGH or LOW states, the system functions perfectly. Compact Circuits Digital technology allows us to fit more circuits into smaller spaces.
  • 10. Limitations of Digital Techniques Real World is Analog While digital systems have many advantages, there’s one big limitation: the real world is analog. Conversion is Needed Most physical things around us, like temperature, sound, and light, are continuous (analog). To process these in a digital system, we need to convert them.
  • 11. To take advantage of digital techniques when dealing with analog inputs and outputs, three steps must be followed: Convert the real-world analog inputs to digital form. (ADC) This step is crucial for bringing the real- world analog signal into the digital domain, where it can be processed effectively. Process (operate on) the digital information. Once converted to digital form, the information can be manipulated, stored, and transmitted efficiently. Convert the digital outputs back to real- world analog form. (DAC) This final step converts the processed digital information back into an analog signal, making it usable in the real world.
  • 12. Analog/Digital Conversion in a Temperature Control System Analog Input The system begins with an analog temperature sensor, which measures the actual temperature in the environment. Digital Processing This analog signal is then converted into a digital format using an analog- to-digital converter (ADC). This allows the digital controller to understand and process the temperature information. Digital Output Finally, the controller sends a digital signal to an actuator, which controls the heating or cooling system to maintain the desired temperature.
  • 14. A Brief Review of Decimal and Binary Number System The Familiar Decimal System Many number systems are in use in digital technology. The most common are the decimal, binary, octal, and hexadecimal systems. The decimal system is clearly the most familiar to us because it is a tool that we use every day. Examining some of its characteristics will help us to better understand the other systems.
  • 15. The Decimal System (Base 10) A Familiar System We use the decimal system daily, based on 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. These digits can be combined to form any number. Breakdown of the Number 342 The number 342 can be broken down as:
  • 16. This is just a way of expressing that: 3 is in the hundreds place 4 is in the tens place 2 is in the ones place When you multiply and add these values, you get 342.
  • 17. Binary System Binary Representation The binary system uses only two symbols, 0 and 1, to represent any quantity that can be represented in the decimal or other number systems. Foundation of Computing This base-2 system is fundamental to the operation of computers and other digital devices, where the 0s and 1s represent the two states of electricity (on or off).
  • 18. Binary System Base 2 The binary system is essential for computers. It only uses two digits: 0 and 1. Computers use binary because it's easy to represent two states—ON or OFF, HIGH or LOW—electronically. Example The binary number 1011 can be broken down as: This equals 11 in the decimal system.
  • 19. Representing Binary Quantities Binary in Digital Systems In digital systems, all information is represented in binary form. A switch is a great example: it’s either ON or OFF, representing either a 1 or a 0. The binary system is perfect for electronic devices because they can easily recognize two states. Voltage Levels in Binary Voltage Levels in Binary: Binary 1: Any voltage between 2V and 5V. Binary 0: Any voltage between 0V and 0.8V. In digital systems, the exact voltage doesn’t matter as long as it falls within the range for a 1 or a 0.
  • 20. Conclusion and Key Takeaways Digital electronics relies heavily on binary representation, with the decimal system acting as a familiar bridge. Understanding both systems is crucial for effectively working with digital devices and technologies. The presented concepts form a foundation for exploring further complexities in the world of digital electronics.