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 |
+----+--------+ +----+--------+ +----+--------+ +----+--------+
Base 8
Le cifre sono 8: 0, 1, 2, 3, 4, 5, 6, 7
La base delle potenze è 8
+---+-------+ +----+------------+
| n | 8^n | | n | 8^n |
+---+-------+ +----+------------+
| 0 | 1 | | 6 | 262144 |
| 1 | 8 | | 7 | 2097152 |
| 2 | 64 | | 8 | 16777216 |
| 3 | 512 | | 9 | 134217728 |
| 4 | 4096 | | 10 | 1073741824 |
| 5 | 32768 | | .. | ... |
+---+-------+ +----+------------+
Contare in base 8
+----+-----+ +----+-----+ +----+-----+ +----+-----+ +----+-----+ +----+-----+ +-----+-----+
| 10 | 8 | | 10 | 8 | | 10 | 8 | | 10 | 8 | | 10 | 8 | | 10 | 8 | | 10 | 8 |
+----+-----+ +----+-----+ +----+-----+ +----+-----+ +----+-----+ +----+-----+ +-----+-----+
| 0 | 000 | | 16 | 020 | | 32 | 040 | | 48 | 060 | | 64 | 100 | | 80 | 120 | | 96 | 140 |
| 1 | 001 | | 17 | 021 | | 33 | 041 | | 49 | 061 | | 65 | 101 | | 81 | 121 | | 97 | 141 |
| 2 | 002 | | 18 | 022 | | 34 | 042 | | 50 | 062 | | 66 | 102 | | 82 | 122 | | 98 | 142 |
| 3 | 003 | | 19 | 023 | | 35 | 043 | | 51 | 063 | | 67 | 103 | | 83 | 123 | | 99 | 143 |
| 4 | 004 | | 20 | 024 | | 36 | 044 | | 52 | 064 | | 68 | 104 | | 84 | 124 | | 100 | 144 |
| 5 | 005 | | 21 | 025 | | 37 | 045 | | 53 | 065 | | 69 | 105 | | 85 | 125 | | 101 | 145 |
| 6 | 006 | | 22 | 026 | | 38 | 046 | | 54 | 066 | | 70 | 106 | | 86 | 126 | | 102 | 146 |
| 7 | 007 | | 23 | 027 | | 39 | 047 | | 55 | 067 | | 71 | 107 | | 87 | 127 | | 103 | 147 |
| 8 | 010 | | 24 | 030 | | 40 | 050 | | 56 | 070 | | 72 | 110 | | 88 | 130 | | 104 | 150 |
| 9 | 011 | | 25 | 031 | | 41 | 051 | | 57 | 071 | | 73 | 111 | | 89 | 131 | | 105 | 151 |
| 10 | 012 | | 26 | 032 | | 42 | 052 | | 58 | 072 | | 74 | 112 | | 90 | 132 | | 106 | 152 |
| 11 | 013 | | 27 | 033 | | 43 | 053 | | 59 | 073 | | 75 | 113 | | 91 | 133 | | 107 | 153 |
| 12 | 014 | | 28 | 034 | | 44 | 054 | | 60 | 074 | | 76 | 114 | | 92 | 134 | | 108 | 154 |
| 13 | 015 | | 29 | 035 | | 45 | 055 | | 61 | 075 | | 77 | 115 | | 93 | 135 | | 109 | 155 |
| 14 | 016 | | 30 | 036 | | 46 | 056 | | 62 | 076 | | 78 | 116 | | 94 | 136 | | 110 | 156 |
| 15 | 017 | | 31 | 037 | | 47 | 057 | | 63 | 077 | | 79 | 117 | | 95 | 137 | | 111 | 157 |
+----+-----+ +----+-----+ +----+-----+ +----+-----+ +----+-----+ +----+-----+ +-----+-----+
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
+---+------+ +---+---------+
| 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 | | 10 | 16 |
+----+----+ +----+----+ +----+----+ +----+----+ +----+----+ +----+----+ +-----+----+
| 0 | 00 | | 16 | 10 | | 32 | 20 | | 48 | 30 | | 64 | 40 | | 80 | 50 | | 96 | 60 |
| 1 | 01 | | 17 | 11 | | 33 | 21 | | 49 | 31 | | 65 | 41 | | 81 | 51 | | 97 | 61 |
| 2 | 02 | | 18 | 12 | | 34 | 22 | | 50 | 32 | | 66 | 42 | | 82 | 52 | | 98 | 62 |
| 3 | 03 | | 19 | 13 | | 35 | 23 | | 51 | 33 | | 67 | 43 | | 83 | 53 | | 99 | 63 |
| 4 | 04 | | 20 | 14 | | 36 | 24 | | 52 | 34 | | 68 | 44 | | 84 | 54 | | 100 | 64 |
| 5 | 05 | | 21 | 15 | | 37 | 25 | | 53 | 35 | | 69 | 45 | | 85 | 55 | | 101 | 65 |
| 6 | 06 | | 22 | 16 | | 38 | 26 | | 54 | 36 | | 70 | 46 | | 86 | 56 | | 102 | 66 |
| 7 | 07 | | 23 | 17 | | 39 | 27 | | 55 | 37 | | 71 | 47 | | 87 | 57 | | 103 | 67 |
| 8 | 08 | | 24 | 18 | | 40 | 28 | | 56 | 38 | | 72 | 48 | | 88 | 58 | | 104 | 68 |
| 9 | 09 | | 25 | 19 | | 41 | 29 | | 57 | 39 | | 73 | 49 | | 89 | 59 | | 105 | 69 |
| 10 | 0A | | 26 | 1A | | 42 | 2A | | 58 | 3A | | 74 | 4A | | 90 | 5A | | 106 | 6A |
| 11 | 0B | | 27 | 1B | | 43 | 2B | | 59 | 3B | | 75 | 4B | | 91 | 5B | | 107 | 6B |
| 12 | 0C | | 28 | 1C | | 44 | 2C | | 60 | 3C | | 76 | 4C | | 92 | 5C | | 108 | 6C |
| 13 | 0D | | 29 | 1D | | 45 | 2D | | 61 | 3D | | 77 | 4D | | 93 | 5D | | 109 | 6D |
| 14 | 0E | | 30 | 1E | | 46 | 2E | | 62 | 3E | | 78 | 4E | | 94 | 5E | | 110 | 6E |
| 15 | 0F | | 31 | 1F | | 47 | 2F | | 63 | 3F | | 79 | 4F | | 95 | 5F | | 111 | 6F |
+----+----+ +----+----+ +----+----+ +----+----+ +----+----+ +----+----+ +-----+----+
Riepilogo
+----+--------+-----+----+----+ +----+--------+-----+----+----+
| 10 | 2 | 4 | 8 | 16 | | 10 | 2 | 4 | 8 | 16 |
+----+--------+-----+----+----+ +----+--------+-----+----+----+
| 0 | 000000 | 000 | 00 | 00 | | 32 | 100000 | 200 | 40 | 20 |
| 1 | 000001 | 001 | 01 | 01 | | 33 | 100001 | 201 | 41 | 21 |
| 2 | 000010 | 002 | 02 | 02 | | 34 | 100010 | 202 | 42 | 22 |
| 3 | 000011 | 003 | 03 | 03 | | 35 | 100011 | 203 | 43 | 23 |
| 4 | 000100 | 010 | 04 | 04 | | 36 | 100100 | 210 | 44 | 24 |
| 5 | 000101 | 011 | 05 | 05 | | 37 | 100101 | 211 | 45 | 25 |
| 6 | 000110 | 012 | 06 | 06 | | 38 | 100110 | 212 | 46 | 26 |
| 7 | 000111 | 013 | 07 | 07 | | 39 | 100111 | 213 | 47 | 27 |
| 8 | 001000 | 020 | 10 | 08 | | 40 | 101000 | 220 | 50 | 28 |
| 9 | 001001 | 021 | 11 | 09 | | 41 | 101001 | 221 | 51 | 29 |
| 10 | 001010 | 022 | 12 | 0A | | 42 | 101010 | 222 | 52 | 2A |
| 11 | 001011 | 023 | 13 | 0B | | 43 | 101011 | 223 | 53 | 2B |
| 12 | 001100 | 030 | 14 | 0C | | 44 | 101100 | 230 | 54 | 2C |
| 13 | 001101 | 031 | 15 | 0D | | 45 | 101101 | 231 | 55 | 2D |
| 14 | 001110 | 032 | 16 | 0E | | 46 | 101110 | 232 | 56 | 2E |
| 15 | 001111 | 033 | 17 | 0F | | 47 | 101111 | 233 | 57 | 2F |
| 16 | 010000 | 100 | 20 | 10 | | 48 | 110000 | 300 | 60 | 30 |
| 17 | 010001 | 101 | 21 | 11 | | 49 | 110001 | 301 | 61 | 31 |
| 18 | 010010 | 102 | 22 | 12 | | 50 | 110010 | 302 | 62 | 32 |
| 19 | 010011 | 103 | 23 | 13 | | 51 | 110011 | 303 | 63 | 33 |
| 20 | 010100 | 110 | 24 | 14 | | 52 | 110100 | 310 | 64 | 34 |
| 21 | 010101 | 111 | 25 | 15 | | 53 | 110101 | 311 | 65 | 35 |
| 22 | 010110 | 112 | 26 | 16 | | 54 | 110110 | 312 | 66 | 36 |
| 23 | 010111 | 113 | 27 | 17 | | 55 | 110111 | 313 | 67 | 37 |
| 24 | 011000 | 120 | 30 | 18 | | 56 | 111000 | 320 | 70 | 38 |
| 25 | 011001 | 121 | 31 | 19 | | 57 | 111001 | 321 | 71 | 39 |
| 26 | 011010 | 122 | 32 | 1A | | 58 | 111010 | 322 | 72 | 3A |
| 27 | 011011 | 123 | 33 | 1B | | 59 | 111011 | 323 | 73 | 3B |
| 28 | 011100 | 130 | 34 | 1C | | 60 | 111100 | 330 | 74 | 3C |
| 29 | 011101 | 131 | 35 | 1D | | 61 | 111101 | 331 | 75 | 3D |
| 30 | 011110 | 132 | 36 | 1E | | 62 | 111110 | 332 | 76 | 3E |
| 31 | 011111 | 133 | 37 | 1F | | 63 | 111111 | 333 | 77 | 3F |
+----+--------+-----+----+----+ +----+--------+-----+----+----+