About Binary and Base 13
Base 2 (binary) is a numeral system that uses two unique symbols to represent values. The valid digits in base 2 are: 0, and 1. Each digit’s position represents a power of 2, increasing from right to left.
Base 13 (tridecimal) uses thirteen unique symbols to represent numbers. The valid digits in base 13 are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, and C. Like all positional numeral systems, each digit’s value depends on its position and the base being used.
Converting numbers from Binary to Base 13 allows you to compare and work with values across different numeral systems. This type of conversion is commonly used in mathematics, computer science, programming, and digital systems.
Binary to Base 13 Conversion Table
| Decimal | Binary | Base 13 |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 10 | 2 |
| 3 | 11 | 3 |
| 4 | 100 | 4 |
| 5 | 101 | 5 |
| 6 | 110 | 6 |
| 7 | 111 | 7 |
| 8 | 1000 | 8 |
| 9 | 1001 | 9 |
| 10 | 1010 | A |
| 11 | 1011 | B |
| 12 | 1100 | C |
| 13 | 1101 | 10 |
| 14 | 1110 | 11 |
| 15 | 1111 | 12 |
| 16 | 10000 | 13 |
| 17 | 10001 | 14 |
| 18 | 10010 | 15 |
| 19 | 10011 | 16 |
| 20 | 10100 | 17 |
| 21 | 10101 | 18 |
| 22 | 10110 | 19 |
| 23 | 10111 | 1A |
| 24 | 11000 | 1B |
| 25 | 11001 | 1C |
| 26 | 11010 | 20 |
| 27 | 11011 | 21 |
| 28 | 11100 | 22 |
| 29 | 11101 | 23 |
| 30 | 11110 | 24 |
| 31 | 11111 | 25 |
| 32 | 100000 | 26 |
| 33 | 100001 | 27 |
| 34 | 100010 | 28 |
| 35 | 100011 | 29 |
| 36 | 100100 | 2A |
| 37 | 100101 | 2B |
| 38 | 100110 | 2C |
| 39 | 100111 | 30 |
| 40 | 101000 | 31 |
| 41 | 101001 | 32 |
| 42 | 101010 | 33 |
| 43 | 101011 | 34 |
| 44 | 101100 | 35 |
| 45 | 101101 | 36 |
| 46 | 101110 | 37 |
| 47 | 101111 | 38 |
| 48 | 110000 | 39 |
| 49 | 110001 | 3A |
| 50 | 110010 | 3B |
| Decimal | Binary | Base 13 |
|---|---|---|
| 51 | 110011 | 3C |
| 52 | 110100 | 40 |
| 53 | 110101 | 41 |
| 54 | 110110 | 42 |
| 55 | 110111 | 43 |
| 56 | 111000 | 44 |
| 57 | 111001 | 45 |
| 58 | 111010 | 46 |
| 59 | 111011 | 47 |
| 60 | 111100 | 48 |
| 61 | 111101 | 49 |
| 62 | 111110 | 4A |
| 63 | 111111 | 4B |
| 64 | 1000000 | 4C |
| 65 | 1000001 | 50 |
| 66 | 1000010 | 51 |
| 67 | 1000011 | 52 |
| 68 | 1000100 | 53 |
| 69 | 1000101 | 54 |
| 70 | 1000110 | 55 |
| 71 | 1000111 | 56 |
| 72 | 1001000 | 57 |
| 73 | 1001001 | 58 |
| 74 | 1001010 | 59 |
| 75 | 1001011 | 5A |
| 76 | 1001100 | 5B |
| 77 | 1001101 | 5C |
| 78 | 1001110 | 60 |
| 79 | 1001111 | 61 |
| 80 | 1010000 | 62 |
| 81 | 1010001 | 63 |
| 82 | 1010010 | 64 |
| 83 | 1010011 | 65 |
| 84 | 1010100 | 66 |
| 85 | 1010101 | 67 |
| 86 | 1010110 | 68 |
| 87 | 1010111 | 69 |
| 88 | 1011000 | 6A |
| 89 | 1011001 | 6B |
| 90 | 1011010 | 6C |
| 91 | 1011011 | 70 |
| 92 | 1011100 | 71 |
| 93 | 1011101 | 72 |
| 94 | 1011110 | 73 |
| 95 | 1011111 | 74 |
| 96 | 1100000 | 75 |
| 97 | 1100001 | 76 |
| 98 | 1100010 | 77 |
| 99 | 1100011 | 78 |
| 100 | 1100100 | 79 |