Free online length converter - converts between 93 units of length, including meter m, kilometer km, decimeter dm, centimeter cm, etc. Also, explore many other unit converters or learn more about length unit conversions. 1 Taza (Spanish) = 0. Cubic meter m^3 Taza (Spanish) to cubic meter, cubic meter to Taza (Spanish) 1 Earth's volume = 1.083E+21 cubic meter m^3 Earth's volume to cubic meter, cubic meter to Earth's volume. Nero offers us its solution for video conversion to the most popular formats and compatible with our video players. Convert your home videos, movies or animations to VCD, SVCD and DVD and enjoy them everywhere. The process is extremely easy, you are three steps away from having your videos converted.
In order to use this new binary to decimal converter tool, type any binary value like 1010 into the left field below, and then hit the Convert button. You can see the result in the right field below. It is possible to convert up to 63 binary characters to decimal.
Binary to decimal conversion result in base numbersBinary System
The binary numeral system uses the number 2 as its base (radix). As a base-2 numeral system, it consists of only two numbers: 0 and 1.
While it has been applied in ancient Egypt, China and India for different purposes, the binary system has become the language of electronics and computers in the modern world. This is the most efficient system to detect an electric signal’s off (0) and on (1) state. It is also the basis for binary code that is used to compose data in computer-based machines. Even the digital text that you are reading right now consists of binary numbers.
Reading a binary number is easier than it looks: This is a positional system; therefore, every digit in a binary number is raised to the powers of 2, starting from the rightmost with 20. In the binary system, each binary digit refers to 1 bit.
Decimal System
The decimal numeral system is the most commonly used and the standard system in daily life. It uses the number 10 as its base (radix). Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
As one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. The Hindu-Arabic numeral system gives positions to the digits in a number and this method works by using powers of the base 10; digits are raised to the nth power, in accordance with their position.
For instance, take the number 2345.67 in the decimal system:
- The digit 5 is in the position of ones (100, which equals 1),
- 4 is in the position of tens (101)
- 3 is in the position of hundreds (102)
- 2 is in the position of thousands (103)
- Meanwhile, the digit 6 after the decimal point is in the tenths (1/10, which is 10-1) and 7 is in the hundredths (1/100, which is 10-2) position
- Thus, the number 2345.67 can also be represented as follows: (2 * 103) + (3 * 102) + (4 * 101) + (5 * 100) + (6 * 10-1) + (7 * 10-2)
How to Read a Binary Number
In order to convert binary to decimal, basic knowledge on how to read a binary number might help. As mentioned above, in the positional system of binary, each bit (binary digit) is a power of 2. This means that every binary number could be represented as powers of 2, with the rightmost one being in the position of 20.
Example: The binary number (1010)2 can also be written as follows: (1 * 23) + (0 * 22) + (1 * 21) + (0 * 20)
How to Convert Binary to Decimal
There are two methods to apply a binary to decimal conversion. The first one uses positional representation of the binary, which is described above. The second method is called double dabble and is used for converting longer binary strings faster. It doesn’t use the positions.
Method 1: Using Positions
Step 1: Write down the binary number.
Step 2: Starting with the least significant digit (LSB - the rightmost one), multiply the digit by the value of the position. Continue doing this until you reach the most significant digit (MSB - the leftmost one).
Step 3: Add the results and you will get the decimal equivalent of the given binary number.
Now, let's apply these steps to, for example, the binary number above, which is (1010)2
- Step 1: Write down (1010)2 and determine the positions, namely the powers of 2 that the digit belongs to.
- Step 2: Represent the number in terms of its positions. (1 * 23) + (0 * 22) + (1 * 21) + (0 * 20)
- Step 3: (1 * 8) + (0 * 4) + (1 * 2) + (0 * 1) = 8 + 0 + 2 + 0 = 10
- Therefore, (1010)2 = (10)10
(Note that the digits 0 in the binary produced zero values in the decimal as well.)
Method 2: Double Dabble
Also called doubling, this method is actually an algorithm that can be applied to convert from any given base to decimal. Double dabble helps converting longer binary strings in your head and the only thing to remember is ‘double the total and add the next digit’.
- Step 1: Write down the binary number. Starting from the left, you will be doubling the previous total and adding the current digit. In the first step the previous total is always 0 because you are just starting. Therefore, double the total (0 * 2 = 0) and add the leftmost digit.
- Step 2: Double the total and add the next leftmost digit.
- Step 3: Double the total and add the next leftmost digit. Repeat this until you run out of digits.
- Step 4: The result you get after adding the last digit to the previous doubled total is the decimal equivalent.
Now, let’s apply the double dabble method to same the binary number, (1010)2
- Your previous total 0. Your leftmost digit is 1. Double the total and add the leftmost digit
(0 * 2) + 1 = 1 - Step 2: Double the previous total and add the next leftmost digit.
(1 * 2) + 0 = 2 - Step 3: Double the previous total and add the next leftmost digit.
(2 * 2) + 1 = 5 - Step 4: Double the previous total and add the next leftmost digit.
(5 * 2) + 0 = 10
This is where you run out of digits in this example. Therefore, (1010)2 = (10)10
Binary to decimal conversion examples
Example 1: (1110010)2 = (114)10
Method 1:
(0 * 20) + (1 * 21) + (0 * 22) + (0 * 23) + (1 * 24) + (1 * 25) + (1 * 26)
= (0 * 1) + (1 * 2) + (0 * 4) + (0 * 8) + (1 * 16) + (1 * 32) + (1 * 64)
= 0 + 2 + 0 + 0 + 16 + 32 + 64 = 114
(0 * 20) + (1 * 21) + (0 * 22) + (0 * 23) + (1 * 24) + (1 * 25) + (1 * 26)
= (0 * 1) + (1 * 2) + (0 * 4) + (0 * 8) + (1 * 16) + (1 * 32) + (1 * 64)
= 0 + 2 + 0 + 0 + 16 + 32 + 64 = 114
Method 2:
0 (previous sum at starting point)
(0 + 1) * 2 = 2
2 + 1 = 3
3 * 2 =6
6 + 1 =7
7 * 2 = 14
14 + 0 =14
14 * 2 = 28
28 + 0 =28
28 * 2 = 56
56 + 1 = 57
57 * 2 = 114
0 (previous sum at starting point)
(0 + 1) * 2 = 2
2 + 1 = 3
3 * 2 =6
6 + 1 =7
7 * 2 = 14
14 + 0 =14
14 * 2 = 28
28 + 0 =28
28 * 2 = 56
56 + 1 = 57
57 * 2 = 114
Example 2: (11011)2 = (27)10
Method 1:
(0 * 20) + (1 * 21) + (0 * 22) + (1 * 23) + (1 * 24)
= (1 * 1) + (1 * 2) + (0 * 4) + (1 * 8) + (1 * 16)
= 1 + 2 + 0 + 8 + 16 = 27
(0 * 20) + (1 * 21) + (0 * 22) + (1 * 23) + (1 * 24)
= (1 * 1) + (1 * 2) + (0 * 4) + (1 * 8) + (1 * 16)
= 1 + 2 + 0 + 8 + 16 = 27
Method 2:
(0 * 2) + 1 = 1
(1 * 2) + 1 = 3
(3 * 2) + 0 = 6
(6 * 2) + 1 = 13
(13 * 2) + 1 = 27
(0 * 2) + 1 = 1
(1 * 2) + 1 = 3
(3 * 2) + 0 = 6
(6 * 2) + 1 = 13
(13 * 2) + 1 = 27
Related converters:
Decimal To Binary Converter
Decimal To Binary Converter
Binary Decimal Conversion Chart Table
Binary | Decimal |
---|---|
00000001 | 1 |
00000010 | 2 |
00000011 | 3 |
00000100 | 4 |
00000101 | 5 |
00000110 | 6 |
00000111 | 7 |
00001000 | 8 |
00001001 | 9 |
00001010 | 10 |
00001011 | 11 |
00001100 | 12 |
00001101 | 13 |
00001110 | 14 |
00001111 | 15 |
00010000 | 16 |
00010001 | 17 |
00010010 | 18 |
00010011 | 19 |
00010100 | 20 |
00010101 | 21 |
00010110 | 22 |
00010111 | 23 |
00011000 | 24 |
00011001 | 25 |
00011010 | 26 |
00011011 | 27 |
00011100 | 28 |
00011101 | 29 |
00011110 | 30 |
00011111 | 31 |
00100000 | 32 |
00100001 | 33 |
00100010 | 34 |
00100011 | 35 |
00100100 | 36 |
00100101 | 37 |
00100110 | 38 |
00100111 | 39 |
00101000 | 40 |
00101001 | 41 |
00101010 | 42 |
00101011 | 43 |
00101100 | 44 |
00101101 | 45 |
00101110 | 46 |
00101111 | 47 |
00110000 | 48 |
00110001 | 49 |
00110010 | 50 |
00110011 | 51 |
00110100 | 52 |
00110101 | 53 |
00110110 | 54 |
00110111 | 55 |
00111000 | 56 |
00111001 | 57 |
00111010 | 58 |
00111011 | 59 |
00111100 | 60 |
00111101 | 61 |
00111110 | 62 |
00111111 | 63 |
01000000 | 64 |
Binary | Decimal |
---|---|
01000001 | 65 |
01000010 | 66 |
01000011 | 67 |
01000100 | 68 |
01000101 | 69 |
01000110 | 70 |
01000111 | 71 |
01001000 | 72 |
01001001 | 73 |
01001010 | 74 |
01001011 | 75 |
01001100 | 76 |
01001101 | 77 |
01001110 | 78 |
01001111 | 79 |
01010000 | 80 |
01010001 | 81 |
01010010 | 82 |
01010011 | 83 |
01010100 | 84 |
01010101 | 85 |
01010110 | 86 |
01010111 | 87 |
01011000 | 88 |
01011001 | 89 |
01011010 | 90 |
01011011 | 91 |
01011100 | 92 |
01011101 | 93 |
01011110 | 94 |
01011111 | 95 |
01100000 | 96 |
01100001 | 97 |
01100010 | 98 |
01100011 | 99 |
01100100 | 100 |
01100101 | 101 |
01100110 | 102 |
01100111 | 103 |
01101000 | 104 |
01101001 | 105 |
01101010 | 106 |
01101011 | 107 |
01101100 | 108 |
01101101 | 109 |
01101110 | 110 |
01101111 | 111 |
01110000 | 112 |
01110001 | 113 |
01110010 | 114 |
01110011 | 115 |
01110100 | 116 |
01110101 | 117 |
01110110 | 118 |
01110111 | 119 |
01111000 | 120 |
01111001 | 121 |
01111010 | 122 |
01111011 | 123 |
01111100 | 124 |
01111101 | 125 |
01111110 | 126 |
01111111 | 127 |
10000000 | 128 |
Binary | Decimal |
---|---|
10000001 | 129 |
10000010 | 130 |
10000011 | 131 |
10000100 | 132 |
10000101 | 133 |
10000110 | 134 |
10000111 | 135 |
10001000 | 136 |
10001001 | 137 |
10001010 | 138 |
10001011 | 139 |
10001100 | 140 |
10001101 | 141 |
10001110 | 142 |
10001111 | 143 |
10010000 | 144 |
10010001 | 145 |
10010010 | 146 |
10010011 | 147 |
10010100 | 148 |
10010101 | 149 |
10010110 | 150 |
10010111 | 151 |
10011000 | 152 |
10011001 | 153 |
10011010 | 154 |
10011011 | 155 |
10011100 | 156 |
10011101 | 157 |
10011110 | 158 |
10011111 | 159 |
10100000 | 160 |
10100001 | 161 |
10100010 | 162 |
10100011 | 163 |
10100100 | 164 |
10100101 | 165 |
10100110 | 166 |
10100111 | 167 |
10101000 | 168 |
10101001 | 169 |
10101010 | 170 |
10101011 | 171 |
10101100 | 172 |
10101101 | 173 |
10101110 | 174 |
10101111 | 175 |
10110000 | 176 |
10110001 | 177 |
10110010 | 178 |
10110011 | 179 |
10110100 | 180 |
10110101 | 181 |
10110110 | 182 |
10110111 | 183 |
10111000 | 184 |
10111001 | 185 |
10111010 | 186 |
10111011 | 187 |
10111100 | 188 |
10111101 | 189 |
10111110 | 190 |
10111111 | 191 |
11000000 | 192 |
Binary | Decimal |
---|---|
11000001 | 193 |
11000010 | 194 |
11000011 | 195 |
11000100 | 196 |
11000101 | 197 |
11000110 | 198 |
11000111 | 199 |
11001000 | 200 |
11001001 | 201 |
11001010 | 202 |
11001011 | 203 |
11001100 | 204 |
11001101 | 205 |
11001110 | 206 |
11001111 | 207 |
11010000 | 208 |
11010001 | 209 |
11010010 | 210 |
11010011 | 211 |
11010100 | 212 |
11010101 | 213 |
11010110 | 214 |
11010111 | 215 |
11011000 | 216 |
11011001 | 217 |
11011010 | 218 |
11011011 | 219 |
11011100 | 220 |
11011101 | 221 |
11011110 | 222 |
11011111 | 223 |
11100000 | 224 |
11100001 | 225 |
11100010 | 226 |
11100011 | 227 |
11100100 | 228 |
11100101 | 229 |
11100110 | 230 |
11100111 | 231 |
11101000 | 232 |
11101001 | 233 |
11101010 | 234 |
11101011 | 235 |
11101100 | 236 |
11101101 | 237 |
11101110 | 238 |
11101111 | 239 |
11110000 | 240 |
11110001 | 241 |
11110010 | 242 |
11110011 | 243 |
11110100 | 244 |
11110101 | 245 |
11110110 | 246 |
11110111 | 247 |
11111000 | 248 |
11111001 | 249 |
11111010 | 250 |
11111011 | 251 |
11111100 | 252 |
11111101 | 253 |
11111110 | 254 |
11111111 | 255 |
Popular volume unit conversions
1 Equals 0
1/0 Wire
Complete list of volume units for conversion
- cubic meter [m^3]
- 1 cubic kilometer [km^3] = 1000000000 cubic meter [m^3]cubic kilometer to cubic meter, cubic meter to cubic kilometer
- 1 cubic centimeter [cm^3] = 1.0E-6 cubic meter [m^3]cubic centimeter to cubic meter, cubic meter to cubic centimeter
- 1 cubic millimeter [mm^3] = 1.0E-9 cubic meter [m^3]cubic millimeter to cubic meter, cubic meter to cubic millimeter
- 1 liter [L, l] = 0.001 cubic meter [m^3]
- 1 milliliter [mL] = 1.0E-6 cubic meter [m^3]milliliter to cubic meter, cubic meter to milliliter
- 1 gallon (US) [gal (US)] = 0.0037854118 cubic meter [m^3]gallon (US) to cubic meter, cubic meter to gallon (US)
- 1 quart (US) [qt (US)] = 0.0009463529 cubic meter [m^3]quart (US) to cubic meter, cubic meter to quart (US)
- 1 pint (US) [pt (US)] = 0.0004731765 cubic meter [m^3]pint (US) to cubic meter, cubic meter to pint (US)
- 1 cup (US) = 0.0002365882 cubic meter [m^3]
- 1 tablespoon (US) = 1.47868E-5 cubic meter [m^3]tablespoon (US) to cubic meter, cubic meter to tablespoon (US)
- 1 teaspoon (US) = 4.92892159375E-6 cubic meter [m^3]teaspoon (US) to cubic meter, cubic meter to teaspoon (US)
- 1 cubic mile [mi^3] = 4168181825.4406 cubic meter [m^3]cubic mile to cubic meter, cubic meter to cubic mile
- 1 cubic yard [yd^3] = 0.764554858 cubic meter [m^3]cubic yard to cubic meter, cubic meter to cubic yard
- 1 cubic foot [ft^3] = 0.0283168466 cubic meter [m^3]cubic foot to cubic meter, cubic meter to cubic foot
- 1 cubic inch [in^3] = 1.63871E-5 cubic meter [m^3]cubic inch to cubic meter, cubic meter to cubic inch
- 1 cubic decimeter [dm^3] = 0.001 cubic meter [m^3]cubic decimeter to cubic meter, cubic meter to cubic decimeter
- 1 exaliter [EL] = 1.0E+15 cubic meter [m^3]
- 1 petaliter [PL] = 1000000000000 cubic meter [m^3]petaliter to cubic meter, cubic meter to petaliter
- 1 teraliter [TL] = 1000000000 cubic meter [m^3]teraliter to cubic meter, cubic meter to teraliter
- 1 gigaliter [GL] = 1000000 cubic meter [m^3]gigaliter to cubic meter, cubic meter to gigaliter
- 1 megaliter [ML] = 1000 cubic meter [m^3]megaliter to cubic meter, cubic meter to megaliter
- 1 kiloliter [kL] = 1 cubic meter [m^3]kiloliter to cubic meter, cubic meter to kiloliter
- 1 hectoliter [hL] = 0.1 cubic meter [m^3]hectoliter to cubic meter, cubic meter to hectoliter
- 1 dekaliter [daL] = 0.01 cubic meter [m^3]dekaliter to cubic meter, cubic meter to dekaliter
- 1 deciliter [dL] = 0.0001 cubic meter [m^3]deciliter to cubic meter, cubic meter to deciliter
- 1 centiliter [cL] = 1.0E-5 cubic meter [m^3]centiliter to cubic meter, cubic meter to centiliter
- 1 microliter [µL] = 1.0E-9 cubic meter [m^3]microliter to cubic meter, cubic meter to microliter
- 1 nanoliter [nL] = 1.0E-12 cubic meter [m^3]nanoliter to cubic meter, cubic meter to nanoliter
- 1 picoliter [pL] = 1.0E-15 cubic meter [m^3]picoliter to cubic meter, cubic meter to picoliter
- 1 femtoliter [fL] = 1.0E-18 cubic meter [m^3]femtoliter to cubic meter, cubic meter to femtoliter
- 1 attoliter [aL] = 1.0E-21 cubic meter [m^3]attoliter to cubic meter, cubic meter to attoliter
- 1 cc [cc, cm^3] = 1.0E-6 cubic meter [m^3]
- 1 drop = 5.0E-8 cubic meter [m^3]drop to cubic meter, cubic meter to drop
- 1 barrel (oil) [bbl (oil)] = 0.1589872949 cubic meter [m^3]barrel (oil) to cubic meter, cubic meter to barrel (oil)
- 1 barrel (US) [bbl (US)] = 0.1192404712 cubic meter [m^3]barrel (US) to cubic meter, cubic meter to barrel (US)
- 1 barrel (UK) [bbl (UK)] = 0.16365924 cubic meter [m^3]barrel (UK) to cubic meter, cubic meter to barrel (UK)
- 1 gallon (UK) [gal (UK)] = 0.00454609 cubic meter [m^3]gallon (UK) to cubic meter, cubic meter to gallon (UK)
- 1 quart (UK) [qt (UK)] = 0.0011365225 cubic meter [m^3]quart (UK) to cubic meter, cubic meter to quart (UK)
- 1 pint (UK) [pt (UK)] = 0.0005682613 cubic meter [m^3]pint (UK) to cubic meter, cubic meter to pint (UK)
- 1 cup (metric) = 0.00025 cubic meter [m^3]cup (metric) to cubic meter, cubic meter to cup (metric)
- 1 cup (UK) = 0.0002841306 cubic meter [m^3]
- 1 fluid ounce (US) [fl oz (US)] = 2.95735E-5 cubic meter [m^3]fluid ounce (US) to cubic meter, cubic meter to fluid ounce (US)
- 1 fluid ounce (UK) [fl oz (UK)] = 2.84131E-5 cubic meter [m^3]fluid ounce (UK) to cubic meter, cubic meter to fluid ounce (UK)
- 1 tablespoon (metric) = 1.5E-5 cubic meter [m^3]tablespoon (metric) to cubic meter, cubic meter to tablespoon (metric)
- 1 tablespoon (UK) = 1.77582E-5 cubic meter [m^3]tablespoon (UK) to cubic meter, cubic meter to tablespoon (UK)
- 1 dessertspoon (US) = 9.8578431875E-6 cubic meter [m^3]dessertspoon (US) to cubic meter, cubic meter to dessertspoon (US)
- 1 dessertspoon (UK) = 1.18388E-5 cubic meter [m^3]dessertspoon (UK) to cubic meter, cubic meter to dessertspoon (UK)
- 1 teaspoon (metric) = 5.0E-6 cubic meter [m^3]teaspoon (metric) to cubic meter, cubic meter to teaspoon (metric)
- 1 teaspoon (UK) = 5.9193880208333E-6 cubic meter [m^3]teaspoon (UK) to cubic meter, cubic meter to teaspoon (UK)
- 1 gill (US) [gi] = 0.0001182941 cubic meter [m^3]gill (US) to cubic meter, cubic meter to gill (US)
- 1 gill (UK) [gi (UK)] = 0.0001420653 cubic meter [m^3]gill (UK) to cubic meter, cubic meter to gill (UK)
- 1 minim (US) = 6.1611519921875E-8 cubic meter [m^3]minim (US) to cubic meter, cubic meter to minim (US)
- 1 minim (UK) = 5.9193880208333E-8 cubic meter [m^3]minim (UK) to cubic meter, cubic meter to minim (UK)
- 1 ton register [ton reg] = 2.8316846592 cubic meter [m^3]ton register to cubic meter, cubic meter to ton register
- 1 ccf = 2.8316846592 cubic meter [m^3]
- 1 hundred-cubic foot = 2.8316846592 cubic meter [m^3]hundred-cubic foot to cubic meter, cubic meter to hundred-cubic foot
- 1 acre-foot [ac*ft] = 1233.4818375475 cubic meter [m^3]acre-foot to cubic meter, cubic meter to acre-foot
- 1 acre-foot (US survey) = 1233.4892384682 cubic meter [m^3]acre-foot (US survey) to cubic meter, cubic meter to acre-foot (US survey)
- 1 acre-inch [ac*in] = 102.790153129 cubic meter [m^3]acre-inch to cubic meter, cubic meter to acre-inch
- 1 dekastere = 10 cubic meter [m^3]dekastere to cubic meter, cubic meter to dekastere
- 1 stere [st] = 1 cubic meter [m^3]
- 1 decistere = 0.1 cubic meter [m^3]decistere to cubic meter, cubic meter to decistere
- 1 cord [cd] = 3.6245563638 cubic meter [m^3]
- 1 tun = 0.9539237696 cubic meter [m^3]tun to cubic meter, cubic meter to tun
- 1 hogshead = 0.2384809424 cubic meter [m^3]
- 1 board foot = 0.0023597372 cubic meter [m^3]board foot to cubic meter, cubic meter to board foot
- 1 dram [dr] = 3.6966911953125E-6 cubic meter [m^3]
- 1 cor (Biblical) = 0.22 cubic meter [m^3]cor (Biblical) to cubic meter, cubic meter to cor (Biblical)
- 1 homer (Biblical) = 0.22 cubic meter [m^3]homer (Biblical) to cubic meter, cubic meter to homer (Biblical)
- 1 bath (Biblical) = 0.022 cubic meter [m^3]bath (Biblical) to cubic meter, cubic meter to bath (Biblical)
- 1 hin (Biblical) = 0.0036666667 cubic meter [m^3]hin (Biblical) to cubic meter, cubic meter to hin (Biblical)
- 1 cab (Biblical) = 0.0012222222 cubic meter [m^3]cab (Biblical) to cubic meter, cubic meter to cab (Biblical)
- 1 log (Biblical) = 0.0003055556 cubic meter [m^3]log (Biblical) to cubic meter, cubic meter to log (Biblical)
- 1 Taza (Spanish) = 0.0002365882 cubic meter [m^3]Taza (Spanish) to cubic meter, cubic meter to Taza (Spanish)
- 1 Earth's volume = 1.083E+21 cubic meter [m^3]Earth's volume to cubic meter, cubic meter to Earth's volume