The number [tex]316_7[/tex] is 316 in base seven
The number 316 in base seven is 160 in base ten
How to convert the base to base 10
To convert to base 10, we make use of the product rule.
So, we have:
[tex]316_7 = 3 * 7^2 + 1 * 7^1 + 6 * 7^o[/tex]
Evaluate the exponents
[tex]316_7 = 3 * 49 + 1 * 7 + 6 * 1[/tex]
Evaluate the products
[tex]316_7 = 147 + 7 + 6[/tex]
Evaluate the sum
[tex]316_7 = 160[/tex]
Hence, the number 316 in base seven is 160 in base ten
Read more about number base at:
https://brainly.com/question/10873737
