# [java] Convert Digit by digit as per decimal scan.

• Analysis

• Every digit (depending on its decimal position) has unique string sequence. Use this logic to generate roman equivalent.

Logic

• From left to right pick digit by digit.
• Find out the decimal position(0 for ones, 1 for tens, 2 for hundreds...)
• Generate the roman equivalent.
• Construct the result by pre-pending the generated sequence.
``````class Solution {
public String intToRoman(int num) {
int pos = 0;  // 10 power equivalent of digit being scanned.
String result = "";
while (num>0) {
int digit = num % 10;  // digit picked up for converstion
result = DIGIT[pos][digit] + result;
num = num/10;
pos++;
}

return result;
}

String DIGIT[][] = {
{"", "I", "II", "III", "IV", "V", "VI", "VII", "VIII", "IX"},
{"", "X", "XX", "XXX", "XL", "L", "LX", "LXX", "LXXX", "XC"},
{"", "C", "CC", "CCC", "CD", "D", "DC", "DCC", "DCCC", "CM"},
{"", "M", "MM", "MMM", "MW", "W", "WM", "WMM", "WMMM", "M?"},

};
}
``````

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