# Convert Number to base 3 String Representation

Objective: Given a number convert it to base 3 representation.

Example:

```N = 35
Base 3 representation: 1022

N = 50
Base 3 representation: 1212
```

Approach:

Till the number is greater than 0, keep dividing it by 3 and append remainder to the result (append it at the beginning of the result)

```N = 35, result =””
N = N/3 => 35/3 => 11 remainder =2 So
N = 11, result =”2”
N = N/3 => 11/3 => 3 remainder =2 So
N = 3, result =”22”
N = N/3 => 3/3 => 1 remainder =0 So
N = 1, result =”022”
N = N/3 => 1/3 => 0 remainder =1 So
N = 0, result =”1022”
```

Java Code:

 public class ConvertToBase3 { public static String convertToBase3(int N){ String result = ""; while(N>0){ int rem = N%3; N = N/3; result = rem + result; } return result; } public static void main(String[] args) { int N = 35; System.out.println("Base 3 representation of " + N + ": " + convertToBase3(N)); N = 50; System.out.println("Base 3 representation of " + N + ": " + convertToBase3(N)); } }

view raw
ConvertToBase3.java
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Output:

```Base 3 representation of 35: 1022
Base 3 representation of 50: 1212
```