^^Numeri binari. Numeri in base 2.

bit binary digit

yt John Wheeler: "Our colleague here in Princeton, John Tukey, is the one who, while working at Bell's laboratories, coined the word "bit" as abbreviation for "binary digit".
While working with John von Neumann on early computer designs, Tukey introduced the word "bit" as a contraction of "binary digit".
The term "bit" was first used in an article by Claude Shannon in 1948.
wp/John_Tukey (/ˈtuːki/; 1915 – 2000) American mathematician best known for development of the Fast Fourier Transform (FFT) algorithm.

it from bit >>>

Tutti i numeri binari con

	1 cifra	2 cifre	3 cifre	4 cifre	variabile
0	0	00	000	0000	0
1	1	01	001	0001	1
2		10	010	0010	10
3		11	011	0011	11
4			100	0100	100
5			101	0101	101
6			110	0110	110
7			111	0111	111
8				1000	1000
9				1001	1001
10				1010	1010
11				1011	1011
12				1100	1100
13				1101	1101
14				1110	1110
15				1111	1111

Conversione binario-esadecimale. 1 ottetto = 2 quartetti

Ba10	Base 2	B16
0	0000	0
1	0001	1
2	0010	2
3	0011	3
4	0100	4
5	0101	5
6	0110	6
7	0111	7
8	1000	8
9	1001	9
10	1010	A
11	1011	B
12	1100	C
13	1101	D
14	1110	E
15	1111	F

Storia

twitter/Perhaps the true inventors of binary arithmetic were British wine merchants." -- Donald Knuth, TAOCP vol 2.

Links librosito

leibniz-translations Explanation of binary arithmetic.

Immaginazione logica sulla generazione di tutti i numeri binari

Questa che segue e' la costruzione seguendo l'ordine di scrittura dall'alto al basso. Il numero risulta scritto in verticale, con la cifra meno significativa in alto.

0011

00001111

0000000011111111

00000000000000001111111111111111

0000000000000000000000000000000011111111111111111111111111111111

0101

00110011

0000111100001111

00000000111111110000000011111111

0000000000000000111111111111111100000000000000001111111111111111

0000000000000000000000000000000011111111111111111111111111111111

0101010101010101010101010101010101010101010101010101010101010101

0011001100110011001100110011001100110011001100110011001100110011

0000111100001111000011110000111100001111000011110000111100001111

0000000011111111000000001111111100000000111111110000000011111111

0000000000000000111111111111111100000000000000001111111111111111

0000000000000000000000000000000011111111111111111111111111111111

01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

00110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011

00001111000011110000111100001111000011110000111100001111000011110000111100001111000011110000111100001111000011110000111100001111

00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000011111111

00000000000000001111111111111111000000000000000011111111111111110000000000000000111111111111111100000000000000001111111111111111

00000000000000000000000000000000111111111111111111111111111111110000000000000000000000000000000011111111111111111111111111111111

00000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111

L'ordine con la cifra piu' significativa si puo' generare scrivendo dal basso all'alto, cioe' la nuova riga sopra le altre, cioe' a pila (impilando), invece che appendendo.