PPT: Conversion of Number System

# PPT: Conversion of Number System | GATE Notes & Videos for Electrical Engineering - Electrical Engineering (EE) PDF Download

``` Page 1

P resentation Topic
Convers i on
of
Num bers
Page 2

P resentation Topic
Convers i on
of
Num bers
What we are going to
explain
• Conversion between Binary & Decimal.
• Conversion between Decimal & Hexadecimal.
• Conversion between Hexadecimal & Binary.
• Conversion between Decimal & Octal.
• Conversion between Octal & Hexadecimal.
• Conversion between Binary & Octal.
Page 3

P resentation Topic
Convers i on
of
Num bers
What we are going to
explain
• Conversion between Binary & Decimal.
• Conversion between Decimal & Hexadecimal.
• Conversion between Hexadecimal & Binary.
• Conversion between Decimal & Octal.
• Conversion between Octal & Hexadecimal.
• Conversion between Binary & Octal.
The possibilities:
Decimal Octal
Binary
Conversion Among Bases
Page 4

P resentation Topic
Convers i on
of
Num bers
What we are going to
explain
• Conversion between Binary & Decimal.
• Conversion between Decimal & Hexadecimal.
• Conversion between Hexadecimal & Binary.
• Conversion between Decimal & Octal.
• Conversion between Octal & Hexadecimal.
• Conversion between Binary & Octal.
The possibilities:
Decimal Octal
Binary
Conversion Among Bases
System
System
Bas
Bas
e
e
Symbols
Symbols
Used by
Used by
humans
humans
?
?
Used in
Used in
computers
computers
?
?
Decima
Decima
l
l
10
10
0, 1, … 9
0, 1, … 9
Yes
Yes
No
No
Binary
Binary
2
2
0, 1
0, 1
No
No
Yes
Yes
Octal
Octal
8
8
0, 1, … 7
0, 1, … 7
No
No
No
No
cimal
cimal
16
16
0, 1, …
0, 1, …
9,
9,
A, B, …
A, B, …
F
F
No
No
No
No
Common Number Systems
Common Number Systems
Page 5

P resentation Topic
Convers i on
of
Num bers
What we are going to
explain
• Conversion between Binary & Decimal.
• Conversion between Decimal & Hexadecimal.
• Conversion between Hexadecimal & Binary.
• Conversion between Decimal & Octal.
• Conversion between Octal & Hexadecimal.
• Conversion between Binary & Octal.
The possibilities:
Decimal Octal
Binary
Conversion Among Bases
System
System
Bas
Bas
e
e
Symbols
Symbols
Used by
Used by
humans
humans
?
?
Used in
Used in
computers
computers
?
?
Decima
Decima
l
l
10
10
0, 1, … 9
0, 1, … 9
Yes
Yes
No
No
Binary
Binary
2
2
0, 1
0, 1
No
No
Yes
Yes
Octal
Octal
8
8
0, 1, … 7
0, 1, … 7
No
No
No
No
cimal
cimal
16
16
0, 1, …
0, 1, …
9,
9,
A, B, …
A, B, …
F
F
No
No
No
No
Common Number Systems
Common Number Systems
Binary to Decimal
Decimal Octal
Binary
```

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## FAQs on PPT: Conversion of Number System - GATE Notes & Videos for Electrical Engineering - Electrical Engineering (EE)

 1. What is number system conversion?
Ans. Number system conversion refers to the process of changing a number from one number system to another. It involves converting a number from its original base to a different base, such as converting a decimal number to binary or hexadecimal.
 2. Why do we need to convert number systems?
Ans. Number system conversion is necessary in various fields, including computer science, mathematics, and digital electronics. It allows us to represent and manipulate numbers in different ways, which is essential for performing calculations, storing data, and communicating information in different systems and platforms.
 3. How do you convert a decimal number to binary?
Ans. To convert a decimal number to binary, divide the decimal number by 2 and keep track of the remainders. Write down the remainders from bottom to top, and the resulting binary number will be the remainders in reverse order. This process is repeated until the quotient becomes zero.
 4. Can you convert a binary number to a decimal number?
Ans. Yes, a binary number can be converted to a decimal number. Each digit in a binary number represents a power of 2, starting from the rightmost digit. Multiply each digit of the binary number with the corresponding power of 2 and sum up the results to obtain the decimal equivalent.
 5. How do you convert a number from decimal to hexadecimal?
Ans. To convert a decimal number to hexadecimal, divide the decimal number by 16 and keep track of the remainders. Write down the remainders from bottom to top, and replace any remainders greater than 9 with corresponding letters (e.g., A for 10, B for 11, and so on). The resulting sequence of remainders will be the hexadecimal representation of the decimal number.

## GATE Notes & Videos for Electrical Engineering

27 videos|350 docs

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