Enter the digit and its position into the calculator to determine the base 9 value.
Base 9 Formula
The following formula is used to calculate the base 9 value.
B9 = ∑ (d * (9^n))
Variables:
- B9 is the base 9 value
- d is the digit in the base 10 number (0-9)
- n is the position of the digit in the base 10 number, starting from 0 on the right
To calculate the base 9 value, for each digit in the base 10 number, multiply the digit by 9 raised to the power of its position. Sum all these values to get the base 9 value.
What is a Base 9?
Base 9, also known as nonary, is a numeral system that uses nine as its base. It uses digits from 0 to 8. It’s a positional numeral system, meaning the position of a digit in a number determines its value. For example, in the base 9 number 123, the 1 represents 81 (9^2), the 2 represents 18 (9^1), and the 3 represents 3 (9^0).
How to Calculate Base 9?
The following steps outline how to calculate the Base 9 value using the formula: B9 = ∑ (d * (9^n)).
- First, determine the digit (d) in the base 10 number (0-9).
- Next, determine the position of the digit (n) in the base 10 number, starting from 0 on the right.
- Next, calculate the value of (9^n).
- Multiply the digit (d) by the value of (9^n).
- Repeat steps 1-4 for each digit in the base 10 number.
- Finally, sum up all the results from step 4 to get the Base 9 value (B9).
Example Problem:
Use the following variables as an example problem to test your knowledge.
digit (d) = 7
position of the digit (n) = 2
Calculate the Base 9 value (B9).
