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Digital Circuits Tutorial
This tutorial aims to instruct readers on how to construct and
evaluate sequential and combinational circuits
...
After
completing this session, you will be able to identify the type of
digital circuit that is suitable for a certain application
...
In that number system, there are 'r' total
numbers
...
In this chapter, let's discuss the many number representations
that are used, along with how a number is represented in each
system
...
Decimal Number system
• Binary Number system
• Octal Number system
• Hexadecimal Number system
Decimal Number System
•
The base or radix of Decimal number system is 10
...
The
part of the number that lies to the left of the decimal point is
known as integer part
...
In this number system, the successive positions to the left of the
decimal point having weights of 100, 101, 102, 103 and so on
...
That means,
each position has specific weight, which is power of base 10
Example
Consider the decimal number 1358
...
Integer part of this
number is 1358 and fractional part of this number is 0
...
The
digits 8, 5, 3 and 1 have weights of 100, 101, 102 and
103 respectively
...
Mathematically, we can write it as
1358
...
Binary Number System
All digital circuits and systems use this binary number system
...
So, the numbers 0
and 1 are used in this number system
...
Similarly, the part of the number,
which lies to the right of the binary point is known as fractional
part
...
Similarly,
the successive positions to the right of the binary point having
weights of 2-1, 2-2, 2-3 and so on
...
Example
Consider the binary number 1101
...
Integer part of this
number is 1101 and fractional part of this number is 0
...
The
digits 1, 0, 1 and 1 of integer part have weights of 20, 21, 22,
23 respectively
...
Mathematically, we can write it as
1101
...
Octal Number System
The basis, or radix, of the octal number system is eight
...
The
region to the left of the octal point is the integer portion of the
number
...
In this number system, the successive positions to the left of the
octal point having weights of 80, 81, 82, 83 and so on
...
That means, each position has
specific weight, which is power of base 8
...
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