Decimal to Binary, Hexadecimal, and Octal Conversion:
Decimal number system is a base 10 number system that uses digits from 0 to 9. In this system, each digit's place value is a power of 10. To convert a decimal number to binary, hexadecimal, and octal, we need to follow specific rules for each number system.

Decimal to Binary:
- To convert a decimal number to binary, we repeatedly divide the decimal number by 2 and note down the remainders.
- The remainders, read in reverse order, give us the binary equivalent of the decimal number.
- For example, to convert decimal 10 to binary:
- 10 ÷ 2 = 5 remainder 0
- 5 ÷ 2 = 2 remainder 1
- 2 ÷ 2 = 1 remainder 0
- 1 ÷ 2 = 0 remainder 1
- Reading remainders in reverse order: 1010

Decimal to Hexadecimal:
- To convert a decimal number to hexadecimal, we repeatedly divide the decimal number by 16 and note down the remainders.
- The remainders, converted to their hexadecimal equivalents, give us the hexadecimal equivalent of the decimal number.
- For example, to convert decimal 10 to hexadecimal:
- 10 ÷ 16 = 0 remainder A (A represents 10 in hexadecimal)

Decimal to Octal:
- To convert a decimal number to octal, we repeatedly divide the decimal number by 8 and note down the remainders.
- The remainders, read in reverse order, give us the octal equivalent of the decimal number.
- For example, to convert decimal 10 to octal:
- 10 ÷ 8 = 1 remainder 2
- 1 ÷ 8 = 0 remainder 1
- Reading remainders in reverse order: 12
In this way, we can convert a decimal number to binary, hexadecimal, and octal by following specific conversion rules for each number system.