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Can Anyone Add Binary? ;_;


guildenstern

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Wow, thanks so much Keyan! That makes a lot of sense; I didn't realise you could carry over two columns. Now I think I can do any problem! n_n

But watch - with my luck, there'll be only one binary numbers question on the 200 question exam... and 199 questions of things I didn't study... :/

 

As for the hex thing (for curiosity's sake only), why does D=1101? How do you figure out letters?

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Base 2 | Base 10 | Base 16

0 = 0 = 0

1 = 1 = 1

10 = 2 = 2

11 = 3 = 3

100 = 4 = 4

101 = 5 = 5

110 = 6 = 6

111 = 7 = 7

1000 = 8 = 8

1001 = 9 = 9

1010 = 10 = A

1011 = 11 = B

1100 = 12 = C

1101 = 13 = D

1110 = 14 = E

1111 = 15 = F

 

 

And then the hex would continue:

10

11

12

13

14

15

16

17

18

19

1A

1B

1C

1D

1F

20

21

 

Make sense yet? It's actually a little easier to figure hex out once you've learned octal.

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Originally posted by Lujayne

Wow, thanks so much Keyan! That makes a lot of sense; I didn't realise you could carry over two columns. Now I think I can do any problem! n_n

But watch - with my luck, there'll be only one binary numbers question on the 200 question exam... and 199 questions of things I didn't study... :/

 

As for the hex thing (for curiosity's sake only), why does D=1101? How do you figure out letters?

 

No problem, g. You don't HAVE to carry over two columns, but it makes it a little more intuitive. If you think about decimal addition, if you have two digits to carry, and you carry them both into one column, you essentially carrying them into two columns anyway, because the left digit just comes out as a carry into the next column.

 

And as Nitro has pointed out, letters are just used in hex because you have to be able to have numbers up to 15 represented by a single digit. So you use A for 10, B for 11, etc.

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