Difference between Decimal and Binary Number
Below is the difference between Decimal and Binary number system.
| Number System | Decimal Number System |
Binary Number System |
|---|---|---|
|
Definition |
The number which has a whole number and the fractional part separated by a decimal point is called Decimal Number system. |
A number system that expresses a number in terms of 0 and 1 digits is a binary number system. |
| Base | 10 |
2 |
| Digits Used | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 |
0, 1 |
| Usage | Everyday life and general arithmetic |
Computers and digital systems |
| Number Representation | More compact for the same values due to base 10 |
Longer for large values due to base 2 |
| Calculation Method | Standard arithmetic operations (taught in general education) |
Binary arithmetic operations (simpler but different from decimal) |
Difference Between Decimal and Binary Number System
Decimal Number is defined by the number which has a whole number and the fractional part separated by a decimal point. While Binary Number is defined by a number which is expressed as in the base-2 numeral system. It is always written in the form of 0 and 1. In math, a system that is used to represent numbers in different forms is called number system.
Decimal and Binary Number System
A mathematical value that is used to count, measure, and perform various arithmetic calculations is called a number. Based on properties, numbers are classified into different types, such as natural numbers, whole numbers, fractions, rational and irrational numbers, and so on.
In a similar way, we have different kinds of number systems based on different properties, such as a binary number system, an octal number system, a decimal number system, and a hexadecimal number system. We can convert a number from any number system into any of the other three number systems.
We have curated the difference between Decimal and Binary Number in detail below.