# Java Decimal to Hexadecimal Conversion

In Mathematics, we use various positional numbering schemes for representing numbers. We are familiar with decimal numbering system which uses a base of 10. Two other commonly used numbering systems in computing are hexadecimal (base 16) and binary (base 2).

Conversion of decimal value to hex string requires the following steps,

- Find the reminder of the decimal value when it is divided by 16.
- Find the corresponding hex character to get the right most character of the hex result
- Divide the decimal value by 16 and use it as the decimal value for the next iteration
- Repeat the steps to get each character in the hex result

The following program uses the above algorithm to convert decimal value to its corresponding hexadecimal string,

/** * Converts a decimal number to a hexadecimal string */ public class DecimalToHex { public static String HEX_CHARACTERS="0123456789ABCDEF"; public static void main(String[] args) { DecimalToHex dh = new DecimalToHex(); int decValue = 922; String hex = dh.dec2hex(decValue); System.out.println("Hexadecimal value of "+decValue+" is "+hex); } /** * * @param decValue decimal value to be converted * @return hexadecimal string representation */ private String dec2hex(int decValue) { if(decValue==0) return "0"; String hexVal=""; while(decValue > 0) { // find right most digit in hex int digit = decValue%16; hexVal = HEX_CHARACTERS.charAt(digit)+hexVal; decValue = decValue/16; } return hexVal; } }