# Using base-2 numbers: $(1010001)_{2}/(11)_{2}=?$

I wanna solve this simple equation using base-2 number system.

$(1010001)_{2}/(11)_{2}=?$

I can't remember how to do that, normally I would start with $101/11$ but what should I do this base-2 numbers?

Sorry if this question might be silly.

Thanks a lot

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using long division:

1010001 / 11
-11||||  | 11011
--||||
100|||
-11|||
--|||
0100|
-11|
--|
11
-11
--
0

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Is 110011 supposed to be your answer? If so, it's wrong. – TonyK Nov 12 '11 at 23:01
Stray 0 I think – Henry Nov 12 '11 at 23:06
@TonyK fixed the stray 0 – ratchet freak Nov 12 '11 at 23:10

In binary $10-1=1$.

Thus $101-11=10$. This first digit is $1$.

Next $100-11=1$. The second digit is $1$.

$10-0=10$. The next digit is $0$.

$100-11=1$. The next digit is $1$.

Finally $11-11=0$ the last digit is $1$.

Hence $$(1010001)_{2}/(11)_{2}=11011_{2} \,.$$

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