Binary Numbers Chart
Every number from 0 to 255 in binary, with decimal and hex. Start with 0 to 15, which is all four place values 8, 4, 2 and 1 can make, then search the full chart or print 1 to 100 on a single page.
Updated
Binary numbers 0 to 15
Four bits count from 0 to 15. Each place is worth double the one on its right.
| Decimal | Binary | Hex |
|---|---|---|
| 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 |
How to read the chart
- 01
Find the number
Search the chart below for a decimal number, a hex value or a pattern of bits.
- 02
Check the place values
Under each 1, write its place value: 128, 64, 32, 16, 8, 4, 2 or 1.
- 03
Add them up
13 is
1101: 8 + 4 + 1 = 13. The 0 in the 2s place adds nothing.
Binary numbers 0 to 255
Every value one byte can hold, written in 8 bits. Search for any number, binary or hex value.
| Decimal | Binary | Hex |
|---|---|---|
| 0 | 00000000 | 00 |
| 1 | 00000001 | 01 |
| 2 | 00000010 | 02 |
| 3 | 00000011 | 03 |
| 4 | 00000100 | 04 |
| 5 | 00000101 | 05 |
| 6 | 00000110 | 06 |
| 7 | 00000111 | 07 |
| 8 | 00001000 | 08 |
| 9 | 00001001 | 09 |
| 10 | 00001010 | 0A |
| 11 | 00001011 | 0B |
| 12 | 00001100 | 0C |
| 13 | 00001101 | 0D |
| 14 | 00001110 | 0E |
| 15 | 00001111 | 0F |
| 16 | 00010000 | 10 |
| 17 | 00010001 | 11 |
| 18 | 00010010 | 12 |
| 19 | 00010011 | 13 |
| 20 | 00010100 | 14 |
| 21 | 00010101 | 15 |
| 22 | 00010110 | 16 |
| 23 | 00010111 | 17 |
| 24 | 00011000 | 18 |
| 25 | 00011001 | 19 |
| 26 | 00011010 | 1A |
| 27 | 00011011 | 1B |
| 28 | 00011100 | 1C |
| 29 | 00011101 | 1D |
| 30 | 00011110 | 1E |
| 31 | 00011111 | 1F |
| 32 | 00100000 | 20 |
| 33 | 00100001 | 21 |
| 34 | 00100010 | 22 |
| 35 | 00100011 | 23 |
| 36 | 00100100 | 24 |
| 37 | 00100101 | 25 |
| 38 | 00100110 | 26 |
| 39 | 00100111 | 27 |
| 40 | 00101000 | 28 |
| 41 | 00101001 | 29 |
| 42 | 00101010 | 2A |
| 43 | 00101011 | 2B |
| 44 | 00101100 | 2C |
| 45 | 00101101 | 2D |
| 46 | 00101110 | 2E |
| 47 | 00101111 | 2F |
| 48 | 00110000 | 30 |
| 49 | 00110001 | 31 |
| 50 | 00110010 | 32 |
| 51 | 00110011 | 33 |
| 52 | 00110100 | 34 |
| 53 | 00110101 | 35 |
| 54 | 00110110 | 36 |
| 55 | 00110111 | 37 |
| 56 | 00111000 | 38 |
| 57 | 00111001 | 39 |
| 58 | 00111010 | 3A |
| 59 | 00111011 | 3B |
| 60 | 00111100 | 3C |
| 61 | 00111101 | 3D |
| 62 | 00111110 | 3E |
| 63 | 00111111 | 3F |
| 64 | 01000000 | 40 |
| 65 | 01000001 | 41 |
| 66 | 01000010 | 42 |
| 67 | 01000011 | 43 |
| 68 | 01000100 | 44 |
| 69 | 01000101 | 45 |
| 70 | 01000110 | 46 |
| 71 | 01000111 | 47 |
| 72 | 01001000 | 48 |
| 73 | 01001001 | 49 |
| 74 | 01001010 | 4A |
| 75 | 01001011 | 4B |
| 76 | 01001100 | 4C |
| 77 | 01001101 | 4D |
| 78 | 01001110 | 4E |
| 79 | 01001111 | 4F |
| 80 | 01010000 | 50 |
| 81 | 01010001 | 51 |
| 82 | 01010010 | 52 |
| 83 | 01010011 | 53 |
| 84 | 01010100 | 54 |
| 85 | 01010101 | 55 |
| 86 | 01010110 | 56 |
| 87 | 01010111 | 57 |
| 88 | 01011000 | 58 |
| 89 | 01011001 | 59 |
| 90 | 01011010 | 5A |
| 91 | 01011011 | 5B |
| 92 | 01011100 | 5C |
| 93 | 01011101 | 5D |
| 94 | 01011110 | 5E |
| 95 | 01011111 | 5F |
| 96 | 01100000 | 60 |
| 97 | 01100001 | 61 |
| 98 | 01100010 | 62 |
| 99 | 01100011 | 63 |
| 100 | 01100100 | 64 |
| 101 | 01100101 | 65 |
| 102 | 01100110 | 66 |
| 103 | 01100111 | 67 |
| 104 | 01101000 | 68 |
| 105 | 01101001 | 69 |
| 106 | 01101010 | 6A |
| 107 | 01101011 | 6B |
| 108 | 01101100 | 6C |
| 109 | 01101101 | 6D |
| 110 | 01101110 | 6E |
| 111 | 01101111 | 6F |
| 112 | 01110000 | 70 |
| 113 | 01110001 | 71 |
| 114 | 01110010 | 72 |
| 115 | 01110011 | 73 |
| 116 | 01110100 | 74 |
| 117 | 01110101 | 75 |
| 118 | 01110110 | 76 |
| 119 | 01110111 | 77 |
| 120 | 01111000 | 78 |
| 121 | 01111001 | 79 |
| 122 | 01111010 | 7A |
| 123 | 01111011 | 7B |
| 124 | 01111100 | 7C |
| 125 | 01111101 | 7D |
| 126 | 01111110 | 7E |
| 127 | 01111111 | 7F |
| 128 | 10000000 | 80 |
| 129 | 10000001 | 81 |
| 130 | 10000010 | 82 |
| 131 | 10000011 | 83 |
| 132 | 10000100 | 84 |
| 133 | 10000101 | 85 |
| 134 | 10000110 | 86 |
| 135 | 10000111 | 87 |
| 136 | 10001000 | 88 |
| 137 | 10001001 | 89 |
| 138 | 10001010 | 8A |
| 139 | 10001011 | 8B |
| 140 | 10001100 | 8C |
| 141 | 10001101 | 8D |
| 142 | 10001110 | 8E |
| 143 | 10001111 | 8F |
| 144 | 10010000 | 90 |
| 145 | 10010001 | 91 |
| 146 | 10010010 | 92 |
| 147 | 10010011 | 93 |
| 148 | 10010100 | 94 |
| 149 | 10010101 | 95 |
| 150 | 10010110 | 96 |
| 151 | 10010111 | 97 |
| 152 | 10011000 | 98 |
| 153 | 10011001 | 99 |
| 154 | 10011010 | 9A |
| 155 | 10011011 | 9B |
| 156 | 10011100 | 9C |
| 157 | 10011101 | 9D |
| 158 | 10011110 | 9E |
| 159 | 10011111 | 9F |
| 160 | 10100000 | A0 |
| 161 | 10100001 | A1 |
| 162 | 10100010 | A2 |
| 163 | 10100011 | A3 |
| 164 | 10100100 | A4 |
| 165 | 10100101 | A5 |
| 166 | 10100110 | A6 |
| 167 | 10100111 | A7 |
| 168 | 10101000 | A8 |
| 169 | 10101001 | A9 |
| 170 | 10101010 | AA |
| 171 | 10101011 | AB |
| 172 | 10101100 | AC |
| 173 | 10101101 | AD |
| 174 | 10101110 | AE |
| 175 | 10101111 | AF |
| 176 | 10110000 | B0 |
| 177 | 10110001 | B1 |
| 178 | 10110010 | B2 |
| 179 | 10110011 | B3 |
| 180 | 10110100 | B4 |
| 181 | 10110101 | B5 |
| 182 | 10110110 | B6 |
| 183 | 10110111 | B7 |
| 184 | 10111000 | B8 |
| 185 | 10111001 | B9 |
| 186 | 10111010 | BA |
| 187 | 10111011 | BB |
| 188 | 10111100 | BC |
| 189 | 10111101 | BD |
| 190 | 10111110 | BE |
| 191 | 10111111 | BF |
| 192 | 11000000 | C0 |
| 193 | 11000001 | C1 |
| 194 | 11000010 | C2 |
| 195 | 11000011 | C3 |
| 196 | 11000100 | C4 |
| 197 | 11000101 | C5 |
| 198 | 11000110 | C6 |
| 199 | 11000111 | C7 |
| 200 | 11001000 | C8 |
| 201 | 11001001 | C9 |
| 202 | 11001010 | CA |
| 203 | 11001011 | CB |
| 204 | 11001100 | CC |
| 205 | 11001101 | CD |
| 206 | 11001110 | CE |
| 207 | 11001111 | CF |
| 208 | 11010000 | D0 |
| 209 | 11010001 | D1 |
| 210 | 11010010 | D2 |
| 211 | 11010011 | D3 |
| 212 | 11010100 | D4 |
| 213 | 11010101 | D5 |
| 214 | 11010110 | D6 |
| 215 | 11010111 | D7 |
| 216 | 11011000 | D8 |
| 217 | 11011001 | D9 |
| 218 | 11011010 | DA |
| 219 | 11011011 | DB |
| 220 | 11011100 | DC |
| 221 | 11011101 | DD |
| 222 | 11011110 | DE |
| 223 | 11011111 | DF |
| 224 | 11100000 | E0 |
| 225 | 11100001 | E1 |
| 226 | 11100010 | E2 |
| 227 | 11100011 | E3 |
| 228 | 11100100 | E4 |
| 229 | 11100101 | E5 |
| 230 | 11100110 | E6 |
| 231 | 11100111 | E7 |
| 232 | 11101000 | E8 |
| 233 | 11101001 | E9 |
| 234 | 11101010 | EA |
| 235 | 11101011 | EB |
| 236 | 11101100 | EC |
| 237 | 11101101 | ED |
| 238 | 11101110 | EE |
| 239 | 11101111 | EF |
| 240 | 11110000 | F0 |
| 241 | 11110001 | F1 |
| 242 | 11110010 | F2 |
| 243 | 11110011 | F3 |
| 244 | 11110100 | F4 |
| 245 | 11110101 | F5 |
| 246 | 11110110 | F6 |
| 247 | 11110111 | F7 |
| 248 | 11111000 | F8 |
| 249 | 11111001 | F9 |
| 250 | 11111010 | FA |
| 251 | 11111011 | FB |
| 252 | 11111100 | FC |
| 253 | 11111101 | FD |
| 254 | 11111110 | FE |
| 255 | 11111111 | FF |
Binary numbers 1 to 100
The same numbers without the leading zeros, four columns to a row, so the list fits on one printed page.
| Number | Binary | Number | Binary | Number | Binary | Number | Binary |
|---|---|---|---|---|---|---|---|
| 1 | 1 | 26 | 11010 | 51 | 110011 | 76 | 1001100 |
| 2 | 10 | 27 | 11011 | 52 | 110100 | 77 | 1001101 |
| 3 | 11 | 28 | 11100 | 53 | 110101 | 78 | 1001110 |
| 4 | 100 | 29 | 11101 | 54 | 110110 | 79 | 1001111 |
| 5 | 101 | 30 | 11110 | 55 | 110111 | 80 | 1010000 |
| 6 | 110 | 31 | 11111 | 56 | 111000 | 81 | 1010001 |
| 7 | 111 | 32 | 100000 | 57 | 111001 | 82 | 1010010 |
| 8 | 1000 | 33 | 100001 | 58 | 111010 | 83 | 1010011 |
| 9 | 1001 | 34 | 100010 | 59 | 111011 | 84 | 1010100 |
| 10 | 1010 | 35 | 100011 | 60 | 111100 | 85 | 1010101 |
| 11 | 1011 | 36 | 100100 | 61 | 111101 | 86 | 1010110 |
| 12 | 1100 | 37 | 100101 | 62 | 111110 | 87 | 1010111 |
| 13 | 1101 | 38 | 100110 | 63 | 111111 | 88 | 1011000 |
| 14 | 1110 | 39 | 100111 | 64 | 1000000 | 89 | 1011001 |
| 15 | 1111 | 40 | 101000 | 65 | 1000001 | 90 | 1011010 |
| 16 | 10000 | 41 | 101001 | 66 | 1000010 | 91 | 1011011 |
| 17 | 10001 | 42 | 101010 | 67 | 1000011 | 92 | 1011100 |
| 18 | 10010 | 43 | 101011 | 68 | 1000100 | 93 | 1011101 |
| 19 | 10011 | 44 | 101100 | 69 | 1000101 | 94 | 1011110 |
| 20 | 10100 | 45 | 101101 | 70 | 1000110 | 95 | 1011111 |
| 21 | 10101 | 46 | 101110 | 71 | 1000111 | 96 | 1100000 |
| 22 | 10110 | 47 | 101111 | 72 | 1001000 | 97 | 1100001 |
| 23 | 10111 | 48 | 110000 | 73 | 1001001 | 98 | 1100010 |
| 24 | 11000 | 49 | 110001 | 74 | 1001010 | 99 | 1100011 |
| 25 | 11001 | 50 | 110010 | 75 | 1001011 | 100 | 1100100 |
Powers of 2
The place values of binary. A 1 followed by n zeros is 2 to the power of n.
| Power | Decimal | Binary |
|---|---|---|
| 2^0 | 1 | 1 |
| 2^1 | 2 | 10 |
| 2^2 | 4 | 100 |
| 2^3 | 8 | 1000 |
| 2^4 | 16 | 10000 |
| 2^5 | 32 | 100000 |
| 2^6 | 64 | 1000000 |
| 2^7 | 128 | 10000000 |
| 2^8 | 256 | 100000000 |
| 2^9 | 512 | 1000000000 |
| 2^10 | 1024 | 10000000000 |
How to count in binary
Counting in binary works like a car odometer with only 0 and 1 on each wheel. Add 1 to the rightmost digit. If it was 0, it becomes 1 and you are done. If it was 1, it rolls back to 0 and you carry 1 to the next place, which may roll over too.
So 0, 1, 10, 11, 100, 101, 110, 111, 1000. Every time all the digits are 1, the next number gains a place: 111 (7) is followed by 1000 (8).
Convert any number
Beyond 255, or need the steps? Type a number and see it divided down to binary.
Decimal to binary
Binary
Printing the chart
Print this page from your browser, or choose Save as PDF in the print dialog. The menus and the converter are left off the printout, so you get the tables. The binary to decimal converter and the decimal to binary converter show the working for any single number.
Frequently asked questions
What is 100 in binary?
100 is 1100100 in binary: 64 + 32 + 4. In 8 bits, it is 01100100.
How do you count in binary?
Add 1 to the rightmost digit. A 0 becomes 1; a 1 becomes 0 and carries 1 to the left. So the count goes 0, 1, 10, 11, 100, 101, 110, 111, 1000.
What is the largest 8-bit number?
255, which is 11111111: all eight places switched on, 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1. With 0, that makes 256 values in one byte.