Hexadecimal to Octal

Ques: Convert B5A₁₆ to Octal.

Sol: 

1. Separate the digits of the given hex number.
   B               5               A
2. Find the equivalent binary digit number for each digit. Add 0 to the left if any of the binary equivalent is shorter than 4 bits.
   
   B               5               A
   1101         0101         1010
3. Write all the bits together.
   
   110101011010
4. Separate the binary bits into groups each containing 3 bits from right to left. Add 0s to the left if the last group contain less than 3 bits.
   110        101        011        010
5. Find the octal equivalent for each group.
   
   110        101        011        010
   5            5            3            2
6. Write all the octal number together while keeping the order. This will give the octal equivalent number.
   
   5532

    Result:
               B5A₁₆ = 5532₈