Number System and Base Conversions
What is number system and its conversion?
A number system is a method to represent numbers mathematically. It can use arithmetic operations to represent every number uniquely. To represent a number, we convert it requires a base or radix.
How to do base conversions?
For this, first take the number and then divide it by the given base. Then note down the remainder obtained after the division. Then, divide the quotient of the division obtained by the given base.
How to calculate number system?
There are 3 required steps to calculate the number system.
STEP 1 – Divide the number with the given base of another number.
STEP 2 – Note down the resulting remainder
STEP 3 – Divide the quotient
Number System and Base Conversions
Electronic and Digital systems may use a variety of different number systems, (e.g. Decimal, Hexadecimal, Octal, Binary), or even Duodecimal or less well known but better named Uncial. All the other bases other than Decimal result from computer usage. Uncial (named from Latin for 1/12 “uncia” the base twelve analogue of Decimal from the Latin word for 1/10 “decima”).
Table of Content
- What is Number System ?
- Number System Conversion Methods
- 1. Decimal to Binary Number System
- 2. Binary to Decimal Number System
- 3. Decimal to Octal Number System
- 4. Octal to Decimal Number System
- 5. Hexadecimal to Binary Number System
- 6. Binary to Hexadecimal Number System
- 7. Binary to Octal Number System