Binary number systems

2008-08-08 2:08 pm
Can anyone help me to decode the following code (binary number)?
01000011 01001111 01000100 01000101
Totally 4 alphabets. _ _ _ _
Thanks a lot! Byeeeeee

回答 (3)

2008-08-08 3:23 pm
✔ 最佳答案
These are binary codes for 4 letters in English alphabet. In case you don't have an alphabet-binary codes chart to look at, you can convert these binary numbers to decimal, then enter manually with your keyboard, the letters will be typed out.

(01000011)BIN = 2^6 + 2^1 + 2^0 = 67
(01001111)BIN = 2^6 + 2^3 + 2^2 + 2^1 + 2^0 = 79
(01000100)BIN = 2^6 + 2^2 = 68
(01000101)BIN = 2^6 + 2^2 + 2^0 = 69

Now hold down Alt-key and key in: Alt 67, Alt 79, Alt 68, Alt 69
The secret is discovered!



2008-08-08 2:31 pm
The decoded form is

01000011- C
01001111- O
01000100- D
01000101- E

Other alphabet-binary codes can be found in the link in the source area.
Hope it helps!!!
2008-08-08 2:31 pm
Binary can be easily converted into octal and hexadecimal. Just take the numbers in groups of three or four respectively. It looks like you want it described in hexadecimal. First a short lesson on "hex" numbers:

0 = 0
1 = 1
2 = 2
.
.
.
9 = 9
A = 10
B = 11
C = 12
D = 13
E = 14
F = 15

So, taking these binary sequences and converting them to hex:

43 4F 44 45

The way to do this is just take each four binary digit group:

0000 = 0
0001 = 1
0010 = 2
0011 = 3
0100 = 4
0101 = 5
0110 = 6
0111 = 7
1000 = 8
1001 = 9
1010 = 10
1011 = 11
1100 = 12
1101 = 13
1110 = 14
1111 = 15

You can also look at how these are calculated:

Each position in binary is treated the same as decimal (or octal or hex, for that matter). You simply raise the "base" number to the power of that position:

1011 in binary is like saying:
1 * 2³ + 1 * 2² + 0 * 2^1 + 1 * 2^0
= 1 * 8 + 1 * 4 + 0 * 2 + 1 * 1
= 8 + 4 + 1
= 13 decimal

Hex is determined in much the same way:

45A1 in hex is the same as:

4 * 16³ + 5 * 16² + 10 * 16 + 1 * 1
= 16384 + 2560 + 160 + 1
= 19105 decimal

I hope this helps.
參考: My brain.


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