A Decimal-to-Hex/Binary Converter is a tool that converts decimal numbers to either their hexadecimal or binary representation.

Here’s how you can convert a decimal number to its hexadecimal and binary representation:

1. Decimal to Hexadecimal conversion:

   • Divide the decimal number by 16.
   • Write down the remainder (in hex) as the least significant digit of the hexadecimal representation.
   • Divide the quotient by 16 and repeat until the quotient is 0.
   • Write down the hex digits in reverse order to get the final hexadecimal representation.

   For example, let’s convert the decimal number 256 to hexadecimal:

   • 256 ÷ 16 = 16 remainder 0, so the least significant digit is 0 (in hex).
   • 16 ÷ 16 = 1 remainder 0, so the next digit is 0.
   • 1 ÷ 16 = 0 remainder 1, so the most significant digit is 1.
   • The final hexadecimal representation is 100.

2. Decimal to Binary conversion:

   • Divide the decimal number by 2.
   • Write down the remainder (either 0 or 1) as the least significant bit of the binary representation.
   • Divide the quotient by 2 and repeat until the quotient is 0.
   • Write down the bits in reverse order to get the final binary representation.

   For example, let’s convert the decimal number 45 to binary:

   • 45 ÷ 2 = 22 remainder 1, so the least significant bit is 1.
   • 22 ÷ 2 = 11 remainder 0, so the next bit is 0.
   • 11 ÷ 2 = 5 remainder 1, so the next bit is 1.
   • 5 ÷ 2 = 2 remainder 1, so the next bit is 1.
   • 2 ÷ 2 = 1 remainder 0, so the next bit is 0.
   • 1 ÷ 2 = 0 remainder 1, so the most significant bit is 1.
   • The final binary representation is 101101.

Therefore, the hexadecimal representation of decimal number 256 is 100, and the binary representation of decimal number 45 is 101101.