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Data representation in computers refers to the methods used to encode and store data in a computer system. Computers do not understand human language directly; instead, they process data in a specific format that they can interpret. This involves converting various types of input data, such as numbers, text, images, audio, and video, into machine language before processing1.
Number Systems
Computers use different number systems to represent data. The most common ones include:
Binary: The binary number system is the foundation of all data representation in digital systems. It uses only two values, 0 and 1, and has a base of 2. For example, the binary representation of the decimal number 178 is (10110010)₂1.
Octal: The octal number system uses eight digits, from 0 to 7, and has a base of 8. For example, the octal representation of the decimal number 17079 is (324017)₈1.
Decimal: The decimal number system uses ten digits, from 0 to 9, and has a base of 10. For example, the decimal representation of the number 875629 is (875629)₁₀1.
Hexadecimal: The hexadecimal number system uses sixteen digits, from 0 to 9 and A to F, and has a base of 16. For example, the hexadecimal representation of the decimal number 57005 is (DEAD)₁₆1.
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Data representation plays a vital role in storing, process, and data communication. A correct and effective data representation method impacts data processing performance and system compatibility. A computer system …
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