As we all know, numbers are an essential part of our daily life. They are used in various fields such as science, engineering, and technology. There are different number systems available, but the most commonly used ones are decimal, binary, octal, and hexadecimal. In this article, we will discuss the conversion of decimal to binary to octal to hexadecimal chart.
Decimal Number System
Decimal is a base-10 number system that uses ten symbols (0-9) to represent numbers. In this system, each digit represents a power of 10. For example, the number 123 can be represented as:1 x 10^2 + 2 x 10^1 + 3 x 10^0 = 100 + 20 + 3 = 123
Binary Number System
Binary is a base-2 number system that uses two symbols (0 and 1) to represent numbers. In this system, each digit represents a power of 2. For example, the number 101 can be represented as:1 x 2^2 + 0 x 2^1 + 1 x 2^0 = 4 + 0 + 1 = 5
Octal Number System
Octal is a base-8 number system that uses eight symbols (0-7) to represent numbers. In this system, each digit represents a power of 8. For example, the number 17 can be represented as:1 x 8^1 + 7 x 8^0 = 8 + 7 = 15
Hexadecimal Number System
Hexadecimal is a base-16 number system that uses sixteen symbols (0-9 and A-F) to represent numbers. In this system, each digit represents a power of 16. For example, the number A7 can be represented as:10 x 16^1 + 7 x 16^0 = 160 + 7 = 167
Conversion Chart
To convert decimal to binary to octal to hexadecimal, we can use the following conversion chart:Decimal | Binary | Octal | Hexadecimal------- | ------ | ----- | -----------0| 0| 0| 01| 1| 1| 12| 10| 2| 23| 11| 3| 34| 100| 4| 45| 101| 5| 56| 110| 6| 67| 111| 7| 78| 1000| 10| 89| 1001| 11| 910| 1010| 12| A11| 1011| 13| B12| 1100| 14| C13| 1101| 15| D14| 1110| 16| E15| 1111| 17| F
Conclusion
In conclusion, the decimal to binary to octal to hexadecimal chart is a useful tool for converting numbers from one number system to another. It is essential to understand these number systems and their conversions, especially in the fields of science, engineering, and technology. By using this chart, we can easily convert numbers and perform various calculations in different number systems.
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