To convert a number from base 7 to base 10, we multiply each digit of the base 7 number by the corresponding power of 7 and sum the results.
In the base 7 number system, the digits range from 0 to 6.
To convert 36 in base 7 to base 10:
Identify the place value of each digit: The rightmost digit is in the ones place, and the leftmost digit is in the sevens place.
Multiply each digit by the corresponding power of 7:
3 * 7^1 + 6 * 7^0
Perform the calculations:
3 * 7 + 6 * 1
21 + 6
Add the results together:
27
Therefore, 36 in base 7 is equal to 27 in base 10.