Base 16

Le cifre sono 16: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

La base delle potenze è 16 (HEXadecimal, H)

+---+------+   +---+---------+ 
| n | 16^n |   | n |   16^n  |
+---+------+   +---+---------+
| 0 |    1 |   | 3 |    4096 | 
| 1 |   16 |   | 4 |   65536 |
| 2 |  256 |   | 5 | 1048576 |
+---+------+   +---+---------+

Contare in base 16

+----+----+   +----+----+   +----+----+   +----+----+   +----+----+   +----+----+
| 10 | 16 |   | 10 | 16 |   | 10 | 16 |   | 10 | 16 |   | 10 | 16 |   | 10 | 16 |
+----+----+   +----+----+   +----+----+   +----+----+   +----+----+   +----+----+
|  0 | 00 |   | 16 | 10 |   | 32 | 20 |   | 48 | 30 |   | 64 | 40 |   | 80 | 50 |
|  1 | 01 |   | 17 | 11 |   | 33 | 21 |   | 49 | 31 |   | 65 | 41 |   | 81 | 51 |
|  2 | 02 |   | 18 | 12 |   | 34 | 22 |   | 50 | 32 |   | 66 | 42 |   | 82 | 52 |
|  3 | 03 |   | 19 | 13 |   | 35 | 23 |   | 51 | 33 |   | 67 | 43 |   | 83 | 53 |
|  4 | 04 |   | 20 | 14 |   | 36 | 24 |   | 52 | 34 |   | 68 | 44 |   | 84 | 54 |
|  5 | 05 |   | 21 | 15 |   | 37 | 25 |   | 53 | 35 |   | 69 | 45 |   | 85 | 55 |
|  6 | 06 |   | 22 | 16 |   | 38 | 26 |   | 54 | 36 |   | 70 | 46 |   | 86 | 56 |
|  7 | 07 |   | 23 | 17 |   | 39 | 27 |   | 55 | 37 |   | 71 | 47 |   | 87 | 57 |
|  8 | 08 |   | 24 | 18 |   | 40 | 28 |   | 56 | 38 |   | 72 | 48 |   | 88 | 58 |
|  9 | 09 |   | 25 | 19 |   | 41 | 29 |   | 57 | 39 |   | 73 | 49 |   | 89 | 59 |
| 10 | 0A |   | 26 | 1A |   | 42 | 2A |   | 58 | 3A |   | 74 | 4A |   | 90 | 5A |
| 11 | 0B |   | 27 | 1B |   | 43 | 2B |   | 59 | 3B |   | 75 | 4B |   | 91 | 5B |
| 12 | 0C |   | 28 | 1C |   | 44 | 2C |   | 60 | 3C |   | 76 | 4C |   | 92 | 5C |
| 13 | 0D |   | 29 | 1D |   | 45 | 2D |   | 61 | 3D |   | 77 | 4D |   | 93 | 5D |
| 14 | 0E |   | 30 | 1E |   | 46 | 2E |   | 62 | 3E |   | 78 | 4E |   | 94 | 5E |
| 15 | 0F |   | 31 | 1F |   | 47 | 2F |   | 63 | 3F |   | 79 | 4F |   | 95 | 5F |
+----+----+   +----+----+   +----+----+   +----+----+   +----+----+   +----+----+

(101)H = (?)10

= 1·1620·1611·160
= 1·256 + 0·16 + 1·1
= 256 + 0 + 1
= (257)10

(5B6)H = (?)10

= 5·162 + [B]·161 + 6·160
= 5·256 + 11·16 + 6·1
= 1280 + 176 + 6
= (1462)10

(100)10 = (?)H

+--------+---+---+
|   N:16 | Q | R |
+--------+---+---+
| 100:16 | 6 | 4 |
|   6:16 | 0 | 6 |
+--------+---+---+

(100)10 = (64)H

(250)10 = (?)H

+--------+----+----+----+
|   N:16 |  Q |  R | R' |
+--------+----+----+----+
| 250:16 | 15 | 10A |
|  15:16 |  0 | 15F |
+--------+----+----+----+

(250)10 = (FA)H

Foglio di calcolo

In ordine alfabetico

  • BASE(250; 16) -> FA
  • BASE(250; 16; 4) -> 00FA
  • DECIMALE(“FA”; 16) -> 250
  • DECIMALE.HEX(250) -> FA
  • DECIMALE.HEX(250; 4) -> 00FA
  • HEX.DECIMALE(FA”) -> 25