Homework Help (Binary Arithmetic)

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1

Hey guys, for my networking class we have learned some binary arithmatic. I’m fine with going from decimal (base 10) to binary (base 2), but the instructor also did a lesson on other systems (base 8 and base 16).

I found this extremely confusing. Does anybody know a good website that explains these processes better? I don’t need them right away because the test isn’t util the end of the semester, but any help is greatly appreciated.

Basically what I’m looking for is a detailed description how to go between these systems with examples. Something like 128(base 8)=X(base 16). However, those aren’t the only systems used.

Thanks ahead of time for any assistance.

2

If it helps, you can convert to base 10 and then reconvert.

128 (base 8) = 8x(8^0) + 2x(8^1) + 1x(8^2)
= 8 + 16 + 64
= 88
88 in base 16 is
88 - 5x(16^1) [Your tenth digit is <b>5</b>]
= 88 - 80
= 8 - 8(16^0) [Your ones digit is <b>8</b>]
= 0

So, 128(base8) to (base16) is 58.

3
4

Thanks guys! RC, that site if perfect!

5

Yeah. It’s saved my ass a few times already (my math teacher is brain dead).