# Java Program to Convert Binary Number to Octal and vice-versa

#### In this program, you’ll learn to convert binary number to a octal number and vice-versa using functions in Java.

## Example 1: Program to Convert Binary to Octal

In this program, we will first convert binary number to decimal. Then, the decimal number is converted to octal.

```
public class BinaryOctal{
public static void main(String[] args){
long binary = 101001;
int octal = convertBinarytoOctal(binary);
System.out.printf("%d in binary = %d in octal", binary, octal);
}
public static int convertBinarytoOctal(long binaryNumber){
int octalNumber = 0, decimalNumber = 0, i = 0;
while(binaryNumber != 0)
{
decimalNumber += (binaryNumber % 10) * Math.pow(2, i);
++i;
binaryNumber /= 10;
}
i = 1;
while (decimalNumber != 0)
{
octalNumber += (decimalNumber % 8) * i;
decimalNumber /= 8;
i *= 10;
}
return octalNumber;
}
}
```

**Output**

101001 in binary = 51 in octal

This conversion takes place as:

Binary To Decimal 1 * 2^{5}+ 0 * 2^{4}+ 1 * 2^{3}+ 0 * 2^{2}+ 0 * 2^{1}+ 1 * 2^{0}= 41 Decimal to Octal 8 |418 |5-- 1 8 |0-- 5 (51)

## Example 2: Program to Convert Octal to Binary

In this program, the octal number to decimal to decimal at first. Then, the decimal number is converted to binary number.

```
public class OctalBinary{
public static void main(String[] args){
int octal = 67;
long binary = convertOctalToBinary(octal);
System.out.printf("%d in octal = %d in binary", octal, binary);
}
public static long convertOctalToBinary(int octalNumber){
int decimalNumber = 0, i = 0;
long binaryNumber = 0;
while(octalNumber != 0)
{
decimalNumber += (octalNumber % 10) * Math.pow(8, i);
++i;
octalNumber/=10;
}
i = 1;
while (decimalNumber != 0)
{
binaryNumber += (decimalNumber % 2) * i;
decimalNumber /= 2;
i *= 10;
}
return binaryNumber;
}
}
```

**Output**

67 in octal = 110111 in binary

This conversion takes place as:

Octal To Decimal 6 * 8^{1}+ 7 * 8^{0}= 55 Decimal to Binary 2 |552 |27-- 1 2 |13-- 1 2 |6-- 1 2 |3-- 0 2 |1-- 1 2 |0-- 1 (110111)

# Python Example for Beginners

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