User talk:Derouch

From Wikipedia, the free encyclopedia

[edit] The ABC's and binary numbers

Binary numbers can use any vehical to deliver their meaning and operation. To illistrate this, let us use the familiar ABC’s and make the numbers from right to left.

  J     I     H     G     F             E     D     C     B     A  
 512   256   128   64    32            16     8     4     2     1

Adding 436+221=657 with the decimal system.

Adding:

I H F E C (256+128+32+16+4=436)

to

H G E D C A (128+64+16+8+4+1=221)

equals

I HH G F EE D CC A

This is a number that sums up to 657.

Folding this from right to left makes an efficient binary number. (A is set; CC makes it DD; DD makes it EEE and E is set; EE makes it FF; FF makes it GG; GG makes it HHH and H is set; HH makes it II; II makes it J)

J H E A or (512+128+16+1=657)

Subtracting:

First un-fold each letter I H F E C (436) from left to right.

I HHH GG FFF EEE DD CCC BB AA

HH G FF EE D CC B AA

(128+128+64+32+32+16+16+8+4+4+2+1+1=436)

This creates at least one of each letter. Any lower binary number can now be subtracted.

HH G FF EE D CC B AA

minus H G E D C A (221)

Canceling out the shared letters equals

H FF E C B A (128+32+32+16+4+2+1=215) and folding equals

H G E C B A or (128+64+16+4+2+1=215).

The vessel is the letters and the process makes the number.

Physical binary blocks and a free fractal generator are at: aegis-bearing