Interstellar Message

 

Interstellar Message: Page #2

Parameter

Value

Date/Time Began 03/31/2007 14:23:06 UT
Number of Times Repeated 1,024
Date/Time Finished 04/05/2007 05:12:12 UT
Number of Pulses 476
Page Duration (With Delay) 6 min 26.08 sec
Data Transfer Rate 3.19 bits per second
Symbol A (84.7 Hz) Occurs 32 times
Symbol B (100.7 Hz) Occurs 272 times
Symbol C (119.8 Hz) Occurs 42 times
Symbol D (142.4 Hz) Occurs 66 times
Symbol E (169.4 Hz) Occurs 32 times
Symbol F (201.5 Hz) Occurs 32 times

 

If we use the conventions for line numbering established for page #1 then page #2 is as follows:

1.) BFDEA
2.) BBFCDEA
3.) BBBFDDEA
4.) BBBBFCCDEA
5.) BBBBBFDCDEA
6.) BBBBBBFCDDEA
7.) BBBBBBBFDDDEA
8.) BBBBBBBBFCCCDEA
9.) BBBBBBBBBFDCCDEA
10.) BBBBBBBBBBFCDCDEA
11.) BBBBBBBBBBBFDDCDEA
12.) BBBBBBBBBBBBFCCDDEA
13.) BBBBBBBBBBBBBFDCDDEA
14.) BBBBBBBBBBBBBBFCDDDEA
15.) BBBBBBBBBBBBBBBFDDDDEA
16.) BBBBBBBBBBBBBBBBFCCCCDEA
17.) DFBEA
18.) CDFBBEA
19.) DDFBBBEA
20.) CCDFBBBBEA
21.) DCDFBBBBBEA
22.) CDDFBBBBBBEA
23.) DDDFBBBBBBBEA
24.) CCCDFBBBBBBBBEA
25.) DCCDFBBBBBBBBBEA
26.) CDCDFBBBBBBBBBBEA
27.) DDCDFBBBBBBBBBBBEA
28.) CCDDFBBBBBBBBBBBBEA
29.) DCDDFBBBBBBBBBBBBBEA
30.) CDDDFBBBBBBBBBBBBBBEA
31.) DDDDFBBBBBBBBBBBBBBBEA
32.) CCCCDFBBBBBBBBBBBBBBBBEA

Translation Notes

The first thing to note is that page #2 has 32 lines which are terminated with the symbol A just like page #1 did.  There are 4 new symbols which are C, D, E, and F.  We note that each line has the symbol E just before the terminator A.  Line #1 has 1 B followed by an F at the beginning, line #2 has 2 B's followed by an F at the beginning, ..., line #16 has 16 B's followed by an F at the beginning.  For lines 1 - 16 between the symbols F and E some combination of the symbols C and D occurs.

For example, line #3 has 3 B's, 1 F, and then the symbols DD.  Line #4 has 4 B's, 1F, and then the symbols CCD.  Line #5 has 5 B's, 1F, and then the symbols DCD.  It's pretty clear that the C's and D's form a binary counting system with C representing zero and D representing one.  The order of the digits is the reverse of what we use on Earth with the most significant digit coming last.  For example, CCD on line #4 represents binary 001.  If we reverse the order we get binary 100 which is the number 4 which matches the 4 B's at the beginning of line #4.  The symbol F is used as a number separator and the symbol E is used to denote equality.  Thus, page #2 establishes the equality of unary numbers with binary numbers.  Lines 17 - 32 are the same as lines 1 - 16 except that the unary numbers come at the end, not the beginning.  The complete English translation of page #2 is as follows:

  1.) 1 (unary) = 1 (binary)
  2.) 2 (unary) = 2 (binary)
  3.) 3 (unary) = 3 (binary)
  4.) 4 (unary) = 4 (binary)
  5.) 5 (unary) = 5 (binary)
  6.) 6 (unary) = 6 (binary)
  7.) 7 (unary) = 7 (binary)
  8.) 8 (unary) = 8 (binary)
  9.) 9 (unary) = 9 (binary)
10.) 10 (unary) = 10 (binary)
11.) 11 (unary) = 11 (binary)
12.) 12 (unary) = 12 (binary)
13.) 13 (unary) = 13 (binary)
14.) 14 (unary) = 14 (binary)
15.) 15 (unary) = 15 (binary)
16.) 16 (unary) = 16 (binary)
17.) 1 (binary) = 1 (unary)
18.) 2 (binary) = 2 (unary)
19.) 3 (binary) = 3 (unary)
20.) 4 (binary) = 4 (unary)
21.) 5 (binary) = 5 (unary)
22.) 6 (binary) = 6 (unary)
23.) 7 (binary) = 7 (unary)
24.) 8 (binary) = 8 (unary)
25.) 9 (binary) = 9 (unary)
26.) 10 (binary) = 10 (unary)
27.) 11 (binary) = 11 (unary)
28.) 12 (binary) = 12 (unary)
29.) 13 (binary) = 13 (unary)
30.) 14 (binary) = 14 (unary)
31.) 15 (binary) = 15 (unary)
32.) 16 (binary) = 16 (unary)

 

Dictionary So Far

Symbol

Frequency Shift

Meaning

A 84.7 Hz Statement terminator
B 100.7 Hz Unary digit (BB is 2, BBB is 3, etc.)
C 119.8 Hz Binary digit 0 (most significant digit on the right)
D 142.4 Hz Binary digit 1 (most significant digit on the right)
E 169.4 Hz Equals sign
F 201.5 Hz Number separator

 

Concepts Learned on Page #2

32 statements per page is a standard
Binary numbers (most significant digit is on the right)
Symbol E is the equals sign (it comes at the end of the statement)
Equivalence of unary numbers and binary numbers (positive integers)