Decimal to Binary Conversion: 0-9
In computer science, binary numbers are the fundamental language of computers, and understanding how to convert decimal numbers to binary is an essential skill. This article will guide you through the process of converting decimal numbers 0-9 to their binary equivalents.
What is Binary?
Binary is a number system that uses only two digits: 0 and 1. This is in contrast to the decimal system, which uses 10 digits: 0-9. Binary is used by computers to represent information, and it is the basis for all computer programming and data storage.
Converting Decimal to Binary: 0-9
Here are the decimal numbers 0-9 and their binary equivalents:
0
- Decimal: 0
- Binary: 0
1
- Decimal: 1
- Binary: 1
2
- Decimal: 2
- Binary: 10
3
- Decimal: 3
- Binary: 11
4
- Decimal: 4
- Binary: 100
5
- Decimal: 5
- Binary: 101
6
- Decimal: 6
- Binary: 110
7
- Decimal: 7
- Binary: 111
8
- Decimal: 8
- Binary: 1000
9
- Decimal: 9
- Binary: 1001
How to Convert Decimal to Binary
To convert a decimal number to binary, you can use the following steps:
- Divide the decimal number by 2
- Take the remainder as the rightmost binary digit
- Repeat step 1 with the quotient until the quotient is 0
- Read the binary digits from right to left
For example, let's convert the decimal number 8 to binary:
- Divide 8 by 2: 8 ÷ 2 = 4 with a remainder of 0
- Divide 4 by 2: 4 ÷ 2 = 2 with a remainder of 0
- Divide 2 by 2: 2 ÷ 2 = 1 with a remainder of 0
- Divide 1 by 2: 1 ÷ 2 = 0 with a remainder of 1
The binary digits are: 1000
Conclusion
Converting decimal numbers to binary is an essential skill for anyone interested in computer science and programming. By understanding the binary system and how to convert decimal numbers to binary, you can unlock the secrets of computer programming and data storage. Remember, the next time you see a binary number, you'll know exactly what it means!
