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-of-number-system-in-digital-electronics
Digital electronics, digital circuits, and digital
technology are electronics that are operated
on digital signals. Digital techniques are much
easier for getting the electronic device. These
devices are used to switch into one of the
known states apart from reproducing a
continuous range of values. Digital circuits are
made from a large collection of logic gates and
a simple electronic representation of the
Boolean logic function.
Number System
•In a digital system, the system can
understand only the optional number
system. In these systems, digits symbols are
used to represent different values,
depending on the index from which it settled
in the number system.
•In simple terms, for representing the
information, we use the number system in
the digital system.
Types of
Number
System
Binary Number System
Generally, a binary number system is used in the
digital computers. In this number system, it carries only
two digits, either 0 or 1. There are two types of
electronic pulses present in a binary number system.
The first one is the absence of an electronic pulse
representing '0'and second one is the presence of
electronic pulse representing '1'. Each digit is known as
a bit. A four-bit collection (1101) is known as a nibble,
and a collection of eight bits (11001010) is known as a
byte. The location of a digit in a binary number
represents a specific power of the base (2) of the
number system.
Decimal Number System
The decimal numbers are used
in our day to day life. The
decimal number system
contains ten digits from 0 to
9(base 10). Here, the
successive place value or
position, left to the decimal
point holds units, tens,
hundreds, thousands, and so
on.
Octal Number
System
The octal number system has
base 8(means it has only eight
digits from 0 to 7). There are only
eight possible digit values to
represent a number. With the
help of only three bits, an octal
number is represented. Each set
of bits has a distinct value
between 0 and 7.
Hexadecim
al Number
System
It is another technique to represent
the number in the digital system
called the hexadecimal number
system. The number system has a
base of 16 means there are total 16
symbols(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,
B, C, D, E, F) used for representing a
number. The single-bit representation
of decimal values10, 11, 12, 13, 14,
and 15 are represented by A, B, C,
D, E, and F. Only 4 bits are required
for representing a number in a
hexadecimal number. Each set of
bits has a distinct value between 0
and 15.
Characteristics • Examples:
• (FAC2)16, (564)16, (0ABD5)16, (1123)16, (11F3)16.
Logic Gates
Logic gates play an important
role in circuit design and digital
systems. It is a building block of
a digital system and an
electronic circuit that always
have only one output. These
gates can have one input or
more than one input, but most
of the gates have two inputs.
On the basis of the relationship
between the input and the
output, these gates are named
as AND gate, OR gate, NOT
gate, etc.
AND Gate
This gate works in the same way
as the logical operator "and".
The AND gate is a circuit that
performs the AND operation of
the inputs. This gate has a
minimum of 2 input values and
an output value.
Y=A AND B AND C AND D……N
Y=A.B.C.D……N
Y=ABCD……N
OR Gate
This gate works in the same way
as the logical operator "or". The
OR gate is a circuit which
performs the OR operation of the
inputs. This gate also has a
minimum of 2 input values and
an output value.
Y=A OR B OR C OR D……N
Y=A+B+C+D……N
NOT Gate
The NOT gate is also
called an inverter. This
gate gives the inverse
value of the input value
as a result. This gate has
only one input and one
output value.
Y=NOT A
Y=A'
digital electronics conversion of number stystem in digital electronics

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digital electronics conversion of number stystem in digital electronics

  • 2. Digital electronics, digital circuits, and digital technology are electronics that are operated on digital signals. Digital techniques are much easier for getting the electronic device. These devices are used to switch into one of the known states apart from reproducing a continuous range of values. Digital circuits are made from a large collection of logic gates and a simple electronic representation of the Boolean logic function.
  • 3. Number System •In a digital system, the system can understand only the optional number system. In these systems, digits symbols are used to represent different values, depending on the index from which it settled in the number system. •In simple terms, for representing the information, we use the number system in the digital system.
  • 5. Binary Number System Generally, a binary number system is used in the digital computers. In this number system, it carries only two digits, either 0 or 1. There are two types of electronic pulses present in a binary number system. The first one is the absence of an electronic pulse representing '0'and second one is the presence of electronic pulse representing '1'. Each digit is known as a bit. A four-bit collection (1101) is known as a nibble, and a collection of eight bits (11001010) is known as a byte. The location of a digit in a binary number represents a specific power of the base (2) of the number system.
  • 6.
  • 7. Decimal Number System The decimal numbers are used in our day to day life. The decimal number system contains ten digits from 0 to 9(base 10). Here, the successive place value or position, left to the decimal point holds units, tens, hundreds, thousands, and so on.
  • 8.
  • 9. Octal Number System The octal number system has base 8(means it has only eight digits from 0 to 7). There are only eight possible digit values to represent a number. With the help of only three bits, an octal number is represented. Each set of bits has a distinct value between 0 and 7.
  • 10.
  • 11.
  • 12. Hexadecim al Number System It is another technique to represent the number in the digital system called the hexadecimal number system. The number system has a base of 16 means there are total 16 symbols(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F) used for representing a number. The single-bit representation of decimal values10, 11, 12, 13, 14, and 15 are represented by A, B, C, D, E, and F. Only 4 bits are required for representing a number in a hexadecimal number. Each set of bits has a distinct value between 0 and 15.
  • 13. Characteristics • Examples: • (FAC2)16, (564)16, (0ABD5)16, (1123)16, (11F3)16.
  • 14. Logic Gates Logic gates play an important role in circuit design and digital systems. It is a building block of a digital system and an electronic circuit that always have only one output. These gates can have one input or more than one input, but most of the gates have two inputs. On the basis of the relationship between the input and the output, these gates are named as AND gate, OR gate, NOT gate, etc.
  • 15. AND Gate This gate works in the same way as the logical operator "and". The AND gate is a circuit that performs the AND operation of the inputs. This gate has a minimum of 2 input values and an output value. Y=A AND B AND C AND D……N Y=A.B.C.D……N Y=ABCD……N
  • 16.
  • 17. OR Gate This gate works in the same way as the logical operator "or". The OR gate is a circuit which performs the OR operation of the inputs. This gate also has a minimum of 2 input values and an output value. Y=A OR B OR C OR D……N Y=A+B+C+D……N
  • 18.
  • 19. NOT Gate The NOT gate is also called an inverter. This gate gives the inverse value of the input value as a result. This gate has only one input and one output value. Y=NOT A Y=A'