What are the binary values of 1 to 10?

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Wiki User · Answer

You can create binary (base 2) numbers by adding exponents of 2, rather than exponents of 10 as in the decimal system. Binary numbers are used for basic computers because the 0 or 1 or 0 can be expressed as a switch, where 1 is on, and 0 is off.  Starting at the right you have 1's, as in decimals. Moving to the left, you have columns that double in value, rather than 10 times the value. The only values used are either 0 or 1.  For the number 111 in binary, the three ones are not one "hundred" plus one "ten" plus one "one"and eleven, but rather one (22 = 4), one (21 = 2) plus one (20 =1).  1 1 1 (binary) = 4 + 2 + 1 = 7  and  101 (binary) = 4 + 0 + 1 = 5  The column values for the first 8 digits are  128, 64, 32, 16, 8, 4, 2, 1  so the number 00011010 = 16 + 8 + 0 + 2 + 0 = 26  The first few numbers, arranged 4 bits (0's and 1's) to a "word":  1 = 0001  2 = 0010  3 = 0011  4 = 0100  5 = 0101  6 = 0110  7 = 0111  8 = 1000  9 = 1001  10 = 1010  11 = 1011  12 = 1100  13 = 1101  14 = 1110  15 = 1111  16 = 0001 0000  17 = 0001 0001  18 = 0001 0010  19 = 0001 0011  20 = 0001 0100  21 = 0001 0101  22 = 0001 0110  23 = 0001 0111  24 = 0001 1000  100 would be 0110 0100  (0x128)+(1x64)+(1x32)+(0x16)+(0x8)+(1x4)+(0x2)+(0x1)

Wiki User · Answer

The binary units are 1, 2, 4, 8, 16, 32, 64, 128, and higher exponents of 2. The integral binary numbers are expressed in terms of these units , the right side digit being a value of 0 or 1, the next digit a value of 0 or 2, the next a value of 0 or 4, and so forth. 0 = 0 1 = 1 (with any number of leading zeroes, e.g. 001= 00001 = 1) 2 = 10 (1 x 2 plus 0 x 1) 3 = 11 (1 x 2 plus 1 x 1) 4 = 100 (1 x 4 plus 0 x 2 plus 0 x 1) 5 = 101 (1 x 4 plus 0 x 2 plus 1 x 1) Any binary number can be decoded by adding these unit values . The first 8 columns of values are 128, 64, 32, 16, 8, 4, 2, 1 For example, 1100100 = 1 x 64, plus 1 x 32, plus 0 x 16, plus 0 x 8, plus 1 x 4, plus 0 x 2, plus 0 x 1 = 64 + 32 + 0 + 0 + 4 + 0 + 0 = 100 List of Numbers  The first 200 binary numbers expressed as 8 digits (with leading zeroes) are: 0 00000000 1 00000001 2 00000010 3 00000011 4 00000100 5 00000101 6 00000110 7 00000111 8 00001000 9 00001001 10 00001010 11 00001011 12 00001100 13 00001101 14 00001110 15 00001111 16 00010000 17 00010001 18 00010010 19 00010011 20 00010100 21 00010101 22 00010110 23 00010111 24 00011000 25 00011001 26 00011010 27 00011011 28 00011100 29 00011101 30 00011110 31 00011111 32 00100000 33 00100001 34 00100010 35 00100011 36 00100100 37 00100101 38 00100110 39 00100111 40 00101000 41 00101001 42 00101010 43 00101011 44 00101100 45 00101101 46 00101110 47 00101111 48 00110000 49 00110001 50 00110010 51 00110011 52 00110100 53 00110101 54 00110110 55 00110111 56 00111000 57 00111001 58 00111010 59 00111011 60 00111100 61 00111101 62 00111110 63 00111111 64 01000000 65 01000001 66 01000010 67 01000011 68 01000100 69 01000101 70 01000110 71 01000111 72 01001000 73 01001001 74 01001010 75 01001011 76 01001100 77 01001101 78 01001110 79 01001111 80 01010000 81 01010001 82 01010010 83 01010011 84 01010100 85 01010101 86 01010110 87 01010111 88 01011000 89 01011001 90 01011010 91 01011011 92 01011100 93 01011101 94 01011110 95 01011111 96 01100000 97 01100001 98 01100010 99 01100011 100 01100100 101 01100101 102 01100110 103 01100111 104 01101000 105 01101001 106 01101010 107 01101011 108 01101100 109 01101101 110 01101110 111 01101111 112 01110000 113 01110001 114 01110010 115 01110011 116 01110100 117 01110101 118 01110110 119 01110111 120 01111000 121 01111001 122 01111010 123 01111011 124 01111100 125 01111101 126 01111110 127 01111111 128 10000000 129 10000001 130 10000010 130 10000011 132 10000100 133 10000101 134 10000110 135 10000111 136 10001000 137 10001001 138 10001010 139 10001011 140 10001100 141 10001101 142 10001110 143 10001111 144 10010000 145 10010001 146 10010010 147 10010011 148 10010100 149 10010101 150 10010110 151 10010111 152 10011000 153 10011001 154 10011010 155 10011011 156 10011100 157 10011101 158 10011110 159 10011111 160 10100000 161 10100001 162 10100010 163 10100011 164 10100100 165 10100101 166 10100110 167 10100111 168 10101000 169 10101001 170 10101010 171 10101011 172 10101100 173 10101101 174 10101110 175 10101111 176 10110000 177 10110001 178 10110010 179 10110011 180 10110100 181 10110101 182 10110110 183 10110111 184 10111000 185 10111001 186 10111010 187 10111011 188 10111100 189 10111101 190 10111110 191 10111111 192 11000000 193 11000001 194 11000010 195 11000011 196 11000100 197 11000101 198 11000110 199 11000111 200 11001000 200 = 128 + 64 + (0x32) + (0x16) + 8 + (0x4) + (0x2) + (0x1) = 128 + 64 + 8 = 200

Wiki User · Answer

1: 1  2: 10  3: 11  4: 100  5: 101  6: 110  7: 111  8: 1000  9: 1001  10: 1010

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