You've been adequately answered from what I can see, but I did want to comment on the language used in your post. You say things like
convert to binary numbers
This often indicates a misunderstanding of the universe (granted it may not in your case, but for everyone else's benefit...). The
number is the same. It's not a
binary number, it's a
binary representation of a number. The number is
exactly the same. It could be represented in hex, binary, octal, sexagesimal, whatever, it's still the same number. The main reason I mention this is that I see it all the time where people confuse the number with the representation of that number.
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