Base 2

Le cifre sono 2: 0 e 1

La base delle potenze è 2

+----+------+   +----+---------+
|  n |  2^n |   |  n |   2^n   |
+----+------+   +----+---------+
|  0 |    1 |   | 11 |    2048 |
|  1 |    2 |   | 12 |    4096 |
|  2 |    4 |   | 13 |    8192 |
|  3 |    8 |   | 14 |   16384 |
|  4 |   16 |   | 15 |   32768 |
|  5 |   32 |   | 16 |   65536 |
|  6 |   64 |   | 17 |  131072 |
|  7 |  128 |   | 18 |  262144 |
|  8 |  256 |   | 19 |  524288 |
|  9 |  512 |   | 20 | 1048576 |
| 10 | 1024 |   | .. |   ...   |  
+----+------+   +----+---------+

Contare in base 2

+----+--------+   +----+--------+   +----+--------+   +----+--------+ 
| 10 |    2   |   | 10 |    2   |   | 10 |    2   |   | 10 |    2   | 
+----+--------+   +----+--------+   +----+--------+   +----+--------+ 
|  0 | 000000 |   | 16 | 010000 |   | 32 | 100000 |   | 48 | 110000 |
|  1 | 000001 |   | 17 | 010001 |   | 33 | 100001 |   | 49 | 110001 | 
|  2 | 000010 |   | 18 | 010010 |   | 34 | 100010 |   | 50 | 110010 | 
|  3 | 000011 |   | 19 | 010011 |   | 35 | 100011 |   | 51 | 110011 | 
|  4 | 000100 |   | 20 | 010100 |   | 36 | 100100 |   | 52 | 110100 | 
|  5 | 000101 |   | 21 | 010101 |   | 37 | 100101 |   | 53 | 110101 | 
|  6 | 000110 |   | 22 | 010110 |   | 38 | 100110 |   | 54 | 110110 | 
|  7 | 000111 |   | 23 | 010111 |   | 39 | 100111 |   | 55 | 110111 | 
|  8 | 001000 |   | 24 | 011000 |   | 40 | 101000 |   | 56 | 111000 | 
|  9 | 001001 |   | 25 | 011001 |   | 41 | 101001 |   | 57 | 111001 | 
| 10 | 001010 |   | 26 | 011010 |   | 42 | 101010 |   | 58 | 111010 | 
| 11 | 001011 |   | 27 | 011011 |   | 43 | 101011 |   | 59 | 111011 | 
| 12 | 001100 |   | 28 | 011100 |   | 44 | 101100 |   | 60 | 111100 | 
| 13 | 001101 |   | 29 | 011101 |   | 45 | 101101 |   | 61 | 111101 | 
| 14 | 001110 |   | 30 | 011110 |   | 46 | 101110 |   | 62 | 111110 | 
| 15 | 001111 |   | 31 | 011111 |   | 47 | 101111 |   | 63 | 111111 | 
+----+--------+   +----+--------+   +----+--------+   +----+--------+

Da base 2 a base 10

(101)2 = (?)10

= 1·220·211·20
= 1·4 + 0·2 + 1·1
= 4 + 0 + 1
= (5)10


(1101)2 = (?)10

= 1·231·220·211·20
= 1·8 + 1·4 + 0·2 + 1·1
= 8 + 4 + 0 + 1
= (13)10

Da base 10 a base 2

(100)10 = (?)2

(100)10 = (1100100)2


(250)10 = (?)2

(250)10 = (11111010)2

Foglio di calcolo

In ordine alfabetico

  • BASE(250; 2) -> 11111010
  • BASE(250; 2; 16) -> 0000000011111010
  • BINARIO.DECIMALE(11111010) -> 250
  • DECIMALE(11111010; 2) -> 250
  • DECIMALE.BINARIO(250) -> 11111010
  • DECIMALE.BINARIO(250; 16) -> 0000000011111010