MHB Write 17 x 4^4 with respect to base 4

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To express 17 x 4^4 in base 4, the calculation begins by converting 17 into base 4, which results in 101. This is then represented as 1 x 4^2 + 0 x 4^1 + 1 x 4^0. The expression 17 x 4^4 can be rewritten as 1 x 4^6 + 1 x 4^4 in base 4. However, the final representation must account for the multiplication by 4^4, leading to a more complex expression in base 4. The discussion clarifies that while the initial conversion is correct, the complete answer requires further elaboration.
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how can i write 17 x 4^4 with respect to base 4?

here is what i did:
i divide 17 by 4 twice and get 101 on base 4, and then say 1 x 4^6 + 1 x 4 ^ 4

is it correct?
 
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ketanco said:
how can i write 17 x 4^4 with respect to base 4?

here is what i did:
i divide 17 by 4 twice and get 101 on base 4, and then say 1 x 4^6 + 1 x 4 ^ 4

is it correct?
It is correct as far as at goes, but I think that it is not yet the answer that is expected.

In base 4, $4^4$ is $10000$; and $4^6$ is $1000000$.
 
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