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.
ketanco
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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 $1000000$.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

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