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How do you Write the decimal number 2365 as a base 7 number?

In: Math and Arithmetic, Algebra, Numbers [Edit categories]

Answer:

Divide the number by the new base (7 in this case) to give a quotient (result) and remainder.
Note the remainder
Make the number the quotient
If the quotient is not zero repeat from step 1
Write the remainders in reverse order (last found first)

That's how I write a decimal number in any other base.

This is me doing it for 2365 in to base 7:

2365 ÷ 7 = 337 r 6
337 ÷ 7 = 48 r 1
48 ÷ 7 = 6 r 6
6 ÷ 7 = 0 r 6

⇒ 2365₁₀ = 6616₇

First answer by Cigmorfil. Last edit by Cigmorfil. Contributor trust: 50 [recommend contributor ]. Question popularity: 2 [recommend question].

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