convert the numeral to a numeral in base 10
13
5
To convert a numeral to base 10, you need to understand the concept of place value. The base 10 system, also known as the decimal system, uses the digits 0-9.
Let's take the numeral 13 in base 5 as an example. This means that each digit in the numeral represents a certain multiple of the given base (in this case, 5).
To convert 13 from base 5 to base 10, we can follow these steps:
1. Write down the given numeral: 13 base 5.
2. Identify the place value of each digit. In this case, the rightmost digit (3) is in the units place, and the leftmost digit (1) is in the fives place.
3. Multiply each digit by its corresponding power of the base. For the rightmost digit, you multiply it by 5^0 (which is 1) and for the leftmost digit, you multiply it by 5^1 (which is 5).
- Multiply 3 by 5^0: 3 * 1 = 3.
- Multiply 1 by 5^1: 1 * 5 = 5.
4. Add up the results of the previous step: 3 + 5 = 8.
Therefore, the numeral 13 base 5 is equal to 8 base 10.