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Count using the binary number system

 
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Kenjuudo
The nonsense machine
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PostPosted: Sun Jun 21, 2009 4:36 pm    Post subject: Count using the binary number system Reply with quote

Binary is the name of the base 2 number system. What it means, is that you only have 2 different symbols for expressing numbers, namely 0 and 1.

In the decimal (base 10) number system which we normally use, we have 10 different symbols: 0 through 9. The formula to convert any base to base 10 is summing all digit positions with this formula: (base^position)*digitvalue. The position always start at 0 on the far right side.

For example, the decimal number 8597 is equivalent to:
(10^3)*8 + (10^2)*5 + (10^1)*9 + (10^0)*7 = 1000*8 + 100*5 + 10*9 + 1*7 = 8597 decimal.

In binary, the number 110101 can with this method be converted to decimal like this:
(2^5)*1 + (2^4)*1 + (2^3)*0 + (2^2)*1 + (2^1)*0 + (2^0)*1 = 32*1 + 16*1 + 8*0 + 4*1 + 2*0 + 1*1 = 32 + 16 + 4 + 1 = 53 decimal.


So let's start and see how many nerds I can attract with this... Mr. Green

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richie
Ye Olde Bookwyrme
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PostPosted: Sun Jun 21, 2009 4:50 pm    Post subject: Reply with quote

0001
0010
0011
0100
I think we had a count in Binary thread running a few months ago......
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Kenjuudo
The nonsense machine
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PostPosted: Sun Jun 21, 2009 4:54 pm    Post subject: Reply with quote

Ah ok... That sucks. Razz
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Halewijn
Emu Egg
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PostPosted: Sun Jun 21, 2009 6:51 pm    Post subject: Reply with quote

old joke:

there are 10 kinds of people. those who can count in binary and those who cannot.

most likely available on a t-shirt on thinkgeek. Smile
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Woodpecker
I am not a jigsaw ! I am a free man !
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PostPosted: Sun Jun 21, 2009 10:47 pm    Post subject: Reply with quote

Binary is all very well, but why not do it in hexidecimal ?

0
1
2
3
4
5
6
7
8
9
A
B
C
D
E
F
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LostInEmulation
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PostPosted: Mon Jun 29, 2009 4:31 am    Post subject: Reply with quote

To continue the thread:
101
110
111
1000
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Keith
Guarding my post here
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PostPosted: Mon Jun 29, 2009 6:28 am    Post subject: Reply with quote

What happened to the last binary thread?
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