COMPUTER HAS LIMIT OF THEIR POWER … .
FROM PROCESSOR TO MEMORY TO GPU TO NETWORK TO ELECTRICITY AND THE REST … .
BY LEARNING THIS WE HOPE WE CAN MAKE SUPER QUANTUM COMPUTER WITHOUT LIMIT 😛 … .
- HOW DECIMAL WHICH IS BASE 10 IS REPRESENT ACTUALLY IN MATH
EXAMPLE : 100 = 1 X 100 , 0 X 10 , 0 X 0 … .
ANOTHER EXAMPLE 111 = 100 X 1 , 10 + 1 , 1 + 0 … .
COMMA MEAN + … .
NOW IMAGINE INSTEAD OF USING BINARY WHY NOT COMPUTER USE DECIMAL AS REPRESENTATION OF NUMBER WHICH MEAN WE HAVE 0 TO 9 … .
NUMBER IN arbitrary base MEAN NUMBER FOR REPRESENTATION IN MATH … . THE FORMULA IS
d ∊ [0, B – 1] The symbol
∊ means that d is an element from the following set … .
d mean is the digit example 10 8 2 base of 10 , 8 or 2 which mean decimal , octal or binary … .
EXAMPLE IF WE SAY BASE 8 NUMBER WHICH IS OCTAL NUMBER IS {0,1,2,3,4,5,6,7} … .
IF IT IS DECIMAL BASE 10 { 0,1,2,3,4,5,6,7,8,9 }
THE FORMULA OF ALL NUMBER IS
Each new digit to the left represents the next power of B. We can continue moving to the right, decreasing the exponent on B by one each time
d2d1d0.d–1d–2d–3… = d2B2+d1B1+d0B0+d–1/B–1+ d–2/ B–2+ d–3/ B–3+…
= d2B2+d1B1+d0B0+ d–1/B1 + d–2/B2 + d–3/B3 +…
YOU DO NOT NEED TO UNDERSTAND THE ONE ON TOP JUST NOTE THAT IT KEEP ON DECREASE FROM RIGHT TO LEFT … .
1.4 THE COMPANION DOCUMENT IS HERE … . BELOW … .
https://drive.google.com/drive/folders/1F7HcNeEWmjClhqnP9L4q14NPztIbLIne?usp=sharing
1.5 example We have number 1234.567 SINCE IT IS DECIMAL IS BASE 10 … . HOW ABOUT WE MAKE IT TO BASE 8 … . FOR THIS EXAMPLE SINCE THE LARGER NUMBER IS 7 NOT MORE THEN 8 WHICH IS BECOME DECIMAL … .
LET’S DECIPHER BASE 8 … .
THE FORMULA IS : 1234.567 BASE 8 = REMEMBER D IS -1 SO WE START FROM 1 IS 3 NOT 4 … .
ON TOP IS THE FORMULA SO WE DECREASE FROM 1X 8 4 TO 1X 83 … .