# Base calculator

**I assume you are referring to calculating the result of a mathematical operation in a different number base. Here are the general steps to convert a number from one base to another:**

- Start with the given number in the original base.
- Divide the number by the base you want to convert to.
- Write down the remainder.
- Divide the quotient from step 2 by the new base.
- Write down the new remainder.
- Repeat steps 4 and 5 until the quotient is 0.
- Write down the remainders in reverse order, and that is the number in the new base.

**For example, let’s convert the number 1011 from base 2 to base 10:**

- Start with the number 1011.
- Divide 1011 by 10: 1011 ÷ 10 = 101 with a remainder of 1.
- Write down the remainder: 1.
- Divide 101 by 10: 101 ÷ 10 = 10 with a remainder of 1.
- Write down the remainder: 1.
- Divide 10 by 10: 10 ÷ 10 = 1 with a remainder of 0.
- Write down the remainder: 0.
- Since the quotient is now 1, we repeat steps 4-7 with 1.
- Divide 1 by 10: 1 ÷ 10 = 0 with a remainder of 1.
- Write down the remainder: 1.
- Since the quotient is 0, we stop.
- Write down the remainders in reverse order: 1101.
- Therefore, the number 1011 in base 2 is equal to 13 in base 10.