18 June 2011

Polymorphysm of n-bit digital systems

n*max("n"bit)= full cycle of "n"bit digital system = (n-1)*("(n+1)"bit) + 1
Examples:
10*max(1 to 10) = 100 = 9*max(1 to 11) + 1
8*max(1 to 8) = 64 =  7*max(1 to 9) + 1
 --------------------------------------------------------------------------------- 
x E (1 to n) =>
n*x=(n-1)*(x+1 ) -  n + x + 1  
 

15 April 2011

The Fallen Angel


5  13 17
7  19 23
11 31(+2) 37 X
13 37 41
17 47(+2) 53 X
19 53(+5) 59 X
23 67 71 = 161=7*(3*7+2)=3*7^2 + 2*7
29 83 89