okay so convert the following numbers in base 10 to numbers in other bases as indicated:
convert 345 in base 10 to an equivalent number in base 4!

Question

okay so convert the following numbers in base 10 to numbers in other bases as indicated: 
convert 345 in base 10 to an equivalent number in base 4!

anonymous · Answer

so i divided 345 by 4 and got 86.25 but how do you get the remainder

unklerhaukus · Answer

$$345_{10}=3\times10^2+4\times10^1+5\times10^0$$

unklerhaukus · Answer

$$345_{4}=a\times4^4+ b\times4^3+c\times4^2+d\times4^1+e\times4^0$$

unklerhaukus · Answer

$$345/4^4=345/256=1+89/256$$
so    $a=1$

$$89/4^3=89/64=1+25/64$$
so    $b=1$

$$25/4^2=25/16=1+9/64$$
so    $c=1$

$$9/4^1=9/4=2+1/4$$
so   $d=2$

$$1/4^0=1/1=1$$
so   $d=1$