What Is the Binary to Decimal Converter
This conversion tool lets you instantly convert binary numbers to decimal numbers. Unlike decimal, hex, and other numbering formats that use a variety of numbers and letters, binary numbers store all information in a sequence of 1s and 0s. Using this tool is incredibly easy, quick, and doesn't take any expertise or skills to use.
How to Use the Binary to Decimal Converter
- Input your binary number in the "Binary" box on the left of your screen
- Click on the "Convert Binary to Decimal" button just under the box to start the conversion.
- The tool instantly displays the decimal number inside the "Decimal" box on the right side of the screen.
- Either copy or download the results using the icons located above the "Decimal" box.
- If you want to convert another binary number to decimal, it's as easy as clicking the eraser icon above the "Binary" box and going through the steps again.
- If you want to flip things around and convert decimal to binary, just click the "Go to Decimal to Binary Converter" button.
How to Convert Binary to Decimal Manually
While our tool helps to automatically and quickly convert binary to decimal, you can also do it manually by using the following steps.
- Starting with the farthest right digit of your binary number, multiply each of the digits by the powers of 2.
- Begin with 20 and then increase the exponent by one when you reach the next digit as you move from right to left down the number. So the next is 21, then 22 and so on.
- After multiplying each digit, add the sum of each digit together, and your result is the decimal number.
Binary to Decimal Conversion Table
Binary | Decimal |
---|---|
00000000 | 0 |
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 |
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 |