Binary to Decimal converter

Binary to decimal converter helps you to calculate a decimal value from a binary number. To use this converter, type any binary value in the first area below. Hit the blue conversion button and then you will see the decimal result of the conversion in the second area. You can easily convert up to 63 binary characters to decimal in our converter.


The result of Binary to Decimal conversion in base numbers

Result

Related converters: Decimal to Binary converter, Decimal to Hex converter

Binary number

A binary number is a number which is expressed in the base-2 numeral system. This system is the simplest kind of number system. It uses only two symbols 0 and 1. These can be used to represent all other numbers. The rightmost digit represents one, with each digit to the left doubling in value. Binary numbers can do arithmetic operations. For example addition, subtraction, multiplication or division. It is used by modern computer-based devices and computers because of easy implementation in digital electronic circuitry. You can convert binary number to decimal with our converter.

Decimal number

A decimal number system is positional numeral system employing 10 as the base. It uses 10 different symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
It is the standard system for denoting integer and non-integer numbers. Decimal number refers to the notation of number in the decimal system (base-10), which contains a decimal separator. In this system the number 423.15 represents the sum ( 4 × 102 ) + ( 2 × 101 ) + ( 3 × 100 ) + ( 1 × 10−1 ) + ( 5 × 10−2 ). Humans mostly use the decimal system.

Binary decimal conversion table

In the table below there are binary to decimal conversions for values 0 - 255. You can navigate the table using Previous and Next buttons. You can also sort the table by click on the header.

BinaryDecimal
00
11
102
113
1004
1015
1106
1117
10008
10019
101010
101111
110012
110113
111014
111115
1000016
1000117
1001018
1001119
1010020
1010121
1011022
1011123
1100024
1100125
1101026
1101127
1110028
1110129
1111030
1111131
10000032
10000133
10001034
10001135
10010036
10010137
10011038
10011139
10100040
10100141
10101042
10101143
10110044
10110145
10111046
10111147
11000048
11000149
11001050
11001151
11010052
11010153
11011054
11011155
11100056
11100157
11101058
11101159
11110060
11110161
11111062
11111163
100000064
100000165
100001066
100001167
100010068
100010169
100011070
100011171
100100072
100100173
100101074
100101175
100110076
100110177
100111078
100111179
101000080
101000181
101001082
101001183
101010084
101010185
101011086
101011187
101100088
101100189
101101090
101101191
101110092
101110193
101111094
101111195
110000096
110000197
110001098
110001199
1100100100
1100101101
1100110102
1100111103
1101000104
1101001105
1101010106
1101011107
1101100108
1101101109
1101110110
1101111111
1110000112
1110001113
1110010114
1110011115
1110100116
1110101117
1110110118
1110111119
1111000120
1111001121
1111010122
1111011123
1111100124
1111101125
1111110126
1111111127
10000000128
10000001129
10000010130
10000011131
10000100132
10000101133
10000110134
10000111135
10001000136
10001001137
10001010138
10001011139
10001100140
10001101141
10001110142
10001111143
10010000144
10010001145
10010010146
10010011147
10010100148
10010101149
10010110150
10010111151
10011000152
10011001153
10011010154
10011011155
10011100156
10011101157
10011110158
10011111159
10100000160
10100001161
10100010162
10100011163
10100100164
10100101165
10100110166
10100111167
10101000168
10101001169
10101010170
10101011171
10101100172
10101101173
10101110174
10101111175
10110000176
10110001177
10110010178
10110011179
10110100180
10110101181
10110110182
10110111183
10111000184
10111001185
10111010186
10111011187
10111100188
10111101189
10111110190
10111111191
11000000192
11000001193
11000010194
11000011195
11000100196
11000101197
11000110198
11000111199
11001000200
11001001201
11001010202
11001011203
11001100204
11001101205
11001110206
11001111207
11010000208
11010001209
11010010210
11010011211
11010100212
11010101213
11010110214
11010111215
11011000216
11011001217
11011010218
11011011219
11011100220
11011101221
11011110222
11011111223
11100000224
11100001225
11100010226
11100011227
11100100228
11100101229
11100110230
11100111231
11101000232
11101001233
11101010234
11101011235
11101100236
11101101237
11101110238
11101111239
11110000240
11110001241
11110010242
11110011243
11110100244
11110101245
11110110246
11110111247
11111000248
11111001249
11111010250
11111011251
11111100252
11111101253
11111110254
11111111255

Examples of binary to decimal conversions

In the list below there are examples of bin to dec conversions. For the other numbers, you can use our binary to decimal converter above.

  • Binary 11101 is 29 in decimal.
  • Binary 11111111 is 255 in decimal.
  • Binary 1111111111111111 is 65535 in decimal.

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