Homework question: Mentally convert the base ten numeral 10 to a base five numeral. Image in comments.
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Here's another way of thinking of it.
In base 10, there are 10 different digits.
In base 5 there are five different digits.
The number you want to write in base 5 happens to be twice the number of digits in base 5 numbers.
What number is twice the number of digits in base 10 numbers?
Not the answer you are looking for? Search for more explanations.
A way to think about it is through the basis representation theorem, which states that an integer n in base 10 can be expressed through the formula: n = a_0(k^s)+a_s(k^(s-1))...
where k represents the base that you are inputting into your head. a_0, a_1,... a_n are constants which are put together to form a number. An example makes this more clear.
Like 10, lets say the number you want to represent is 5 in base 10 currently and convert it to base 5. number n is therefore 5 and base k is 5. 5 = a_0(5^0)+a_1(5^1) and the max number s you can exponentiate to is determined by how big your number is. a_1 = 1 and a_0 = 0, and the number is represented by (a_s)(a_s-1)..., therefore it is 10. Try it out and solve the equation in your head for base 10 numbers in any other base.