Convert Binary to Decimal
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Convert Binary to Decimal
Do you need to convert between binary and decimal values? Our easy-to-use converter can do that for you in seconds! Just enter the values in binary and click the convert button. Our converter is user-friendly and accurate. Our binary to decimal calculator is perfect for programmers, engineers, and anyone who needs binary to decimal conversion.
Definition of Decimal
Decimal is a number system that uses ten as its base. It is the most common number system used in the world. It is used every day to measure weight, length, and money. This is used by people all over the world including scientists, engineers, accountants and more. We hope this information helps!
Definition of Binary
Binary is a system of counting and representing numbers using 0 and 1. The binary system is the basis of all digital computers and electronic devices. Binary numbers store data, instructions, and programs in electronic devices. They are also used to transmit data over communication networks.
How to use our App
Enter the binary number in the Binary number input field. Click the convert button. The decimal equivalent of the binary value will be displayed in the decimal value field. E.g., 1011 binary number to decimal, enter 1011, and click the convert button. Our calculator will display the value “11” in the field.
Binary to Decimal
The formula for converting binary to decimal is Decimal = (Binary digit 1 * 2^0) + (Binary digit 2 * 2^1) + (Binary digit 3 * 2^2) + … Our converter uses the following to convert: The binary number is reversed, each digit is multiplied by power of 2, the products are summed to get decimal values equivalent.
Convert Binary to Decimal
Our binary to decimal calculator is the quickest and easiest way to convert between binary and decimal numbers. Our calculator is versatile, mobile-friendly, and easy to use. Explore our other converters for a variety of other mathematical calculations and tasks
| Binary to Decimal Conversion | Binary to Decimal Conversion |
|---|---|
| 0 binary to decimal = 0 | 1 binary to decimal = 1 |
| 10 binary to decimal = 2 | 11 binary to decimal = 3 |
| 100 binary to decimal = 4 | 101 binary to decimal = 5 |
| 110 binary to decimal = 6 | 111 binary to decimal = 7 |
| 1000 binary to decimal = 8 | 1001 binary to decimal = 9 |
| 1010 binary to decimal = 10 | 1011 binary to decimal = 11 |
| 1100 binary to decimal = 12 | 1101 binary to decimal = 13 |
| 1110 binary to decimal = 14 | 1111 binary to decimal = 15 |
| 10000 binary to decimal = 16 | 10001 binary to decimal = 17 |
| 10010 binary to decimal = 18 | 10011 binary to decimal = 19 |
| 10100 binary to decimal = 20 | 10101 binary to decimal = 21 |
| 10110 binary to decimal = 22 | 10111 binary to decimal = 23 |
| 11000 binary to decimal = 24 | 11001 binary to decimal = 25 |
| 11010 binary to decimal = 26 | 11011 binary to decimal = 27 |
| 11100 binary to decimal = 28 | 11101 binary to decimal = 29 |
| 11110 binary to decimal = 30 | 11111 binary to decimal = 31 |
| 100000 binary to decimal = 32 | 1000000 binary to decimal = 64 |
| 10000000 binary to decimal = 128 | 1000000000 binary to decimal = 256 |
| 0b1000000000 binary to decimal = 512 |
Frequently Asked Questions
Enter the binary number in the binary input field. Click the convert button. The equivalent decimal value will be displayed in the decimal number field. You can check or copy the value for your further reference.
The binary number 10101 has 5 digits so its place values are 1, 2, 4, 8, and 16. The converted decimal value is: decimal = (1 x 2^4) + (0 x 2^3) + (1 x 2^2) + (0 x 2^1) + (1 x 2^0) = 16 + 0 + 4 + 0 + 1 = 21. Therefore, 10101 binary value is equal to 21 in decimal.
The binary number 1001 0011 has 8 digits, so its place values are 1, 2, 4, 8, 16, 32, 64, and 128. The converted decimal value is: (1 x 2^7) + (0 x 2^6) + (0 x 2^5) + (1 x 2^4) + (0 x 2^3) + (0 x 2^2) + (1 x 2^1) + (1 x 2^0) = 128 + 0 + 0 + 16 + 0 + 0 + 2 + 1 = 147. Therefore, 1001 0011 is equal to 147 in decimal.
The binary number 1111011 has 7 digits, so its place values are 1, 2, 4, 8, 16, 32, 64, and 128. The converted decimal value is: (1 x 2^6) + (1 x 2^5) + (1 x 2^4) + (1 x 2^3) + (0 x 2^2) + (1 x 2^1) + (1 x 2^0) = 64 + 32 + 16 + 8 + 0 + 2 + 1 = 123. Therefore, 1111011 in binary is equal to 123 in decimal.