Question

2032 base four expanded notation

Answer 1

Assuming 2032 is itself a number in base 4, you have

$2032_4=2\times4^3+3\times4^1+2\times4^0$

Or, if you mean to ask about converting 2032 into base 4, you have

$\dfrac{2032}4=508$ with remainder 0, which means the "ones" digit is 0.
$\dfrac{508}4=127$ with remainder 0, which means the "tens" digit is also 0.
$\dfrac{127}4=31$ with remainder 3, so the "hundreds" digit is 3.
$\dfrac{31}4=7$ with remainder 3, so the "thousands" digit is also 3.
$\dfrac74=1$ with remainder 3, so the next digit is also 3.
$\dfrac14=0$ with remainder 1, so the next (and final) digit is 1.

So, $2032_{10}=133300_4$.