# Binary to Decimal Converter

Convert Binary Numbers ( 0 & 1 ) To Decimal Number.

2
2
16

Use this binary to decimal converter to convert binary numbers ( 0 & 1 ) to decimal numbers with ease. It lets you proceed to convert binary to decimal by just making a single click.

## What is a Binary To Decimal Converter?

For converting binary to decimal, an online binary to decimal calculator is used. Binary number converter,

• Evaluate decimal equivalent of entered binary number.
• Provides you the solution step by step.
• Represent the place values

No matter for what reasons you need to convert binary to decimal, our tool helps you convert to decimal for free of cost.

## Binary To Decimal Conversion:

For converting a binary number to decimal we multiply each digit with its place value and then add the products.

We simply multiply each binary digit with its place value and add the product.

Example:
(01001)2 = (0 × 24) + (1 × 23) + (0 × 22) + (0 × 21) + (1 × 20) = 8 + 1 = (9)10

## Binary System

Number 2 is used as a base of binary numbers. It contains 2 numbers 0 and 1 as a base 2 numeral system. Binary numbers is the language of computer and electronics. It is the efficient way to detect electrical signals OFF ( 0 ) and ( 1 ) ON state.

• (01110100)2 = (116)10
• (000110110000)2 = (432)10
• (110010001110)2 = (3214)10

## Decimal System:

Decimal number system is mostly used in our daily life. Number 10 is used as its base. It has 10 symbols from 0 to 9 that are represented as 0,1,2,3,4,5,6,7,8 and 9.

For example, take the number 1234.56 in the decimal system:

• The number 4 is in the position of ones (100, which equals 1),
• 3 is in the position of tens (101)
• 2 is in the position of hundreds (102)
• 1 is in the position of thousands (103)
• Although, the digit 5 after the decimal point is in the tenths (1/10, which is 10-1) and 6 is in the hundredths (1/100, which is 10-2) position
• Thus, the number 1234.56 can also be represented as follows: (1 * 103) + (2 * 102) + (3 * 101) + (4 * 100) + (5 * 10-1) + (6 * 10-2)

## How To Use Binary To Decimal Converter?

This binary number converter is very simple and easy to use. Simply follow these simple steps to use this converter.

• Search romannumeralsconverter.net on your compatible browser.
• Enter the binary number into the left box.
• Click on the convert button.
• Get your results in the right box.

This binary to decimal calculator is compatible with all browsers and devices including Chrome, Safari, MacOS and Android.

## Binary Decimal Conversion 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 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 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 11000001 193 11000010 194 11000011 195 11000100 196 11000101 197 11000110 198 11000111 199 11001000 200