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How do you read binary numbers?

A binary number system is a particular part of mathematics and is one of the four types of number systems. In the field of computer applications, binary numbers are indicated by only two general symbols or digits, i.e. 0 (zero) and 1(one). You should keep in mind that binary numbers here are described in the base-2 numeral system. For example, (101)2 is a binary number and each digit in this system is known as a bit. Well, a free online binary translator is designed to change numbers into a binary digit system. In this informative article, you will learn the steps to read binary numbers. 

How do you read binary numbers?

To read binary numbers, follow these steps

  • Understand the Positional Number System: 

Generally, binary to text converter indicates a positional number system that is similar to decimal (base-10). Keep in mind that each in a binary number expresses a different power of 2. The rightmost digit depicts 2^0 (1), the next digit to the left depicts 2^1 (2), the next depicts 2^2 (4), and so on. Apart from that you can use this online binary to English translator to read this type of binary numbers. 

  • Start from the Right: 

It is important to know that when you start to read binary numbers, you should begin from the rightmost digit.

  • Assign Powers of 2: 

Remember that you should give each digit a power of 2 based on its position. The rightmost digit is given 2^0, the next one to the left is given 2^1, then 2^2, and so forth. And you can do this with the assistance of an online binary code translator. 

  • Calculate the Decimal Value: 

You can multiply each digit by its assembling power of 2 and sum up the results. For example, in the binary number 10110, you can calculate (1 * 2^4) + (0 * 2^3) + (1 * 2^2) + (1 * 2^1) + (0 * 2^0). Well, you can verify this example by using this binary to text converter online for free. 

Simplify the Calculation

If you have multiple binary numbers, then you can calculate the numbers by simple start from the leftmost digit and working toward the right. As compared to calculating each power of 2 individually, you can double the result from the earlier digit. For example, in the binary number 10110, you can start with 0, double it to obtain 0, double it to obtain 0, double it to obtain 4, and double it to obtain 8. In the end, you have to add the result of multiplying the leftmost digit (1) by 2^4 (16) to obtain the final decimal value.

Read the Decimal Value 

Apart from that, you have to sum what you get from the calculation since it represents the decimal value of the binary number.

For example, let’s assume the binary number 10110. Read it according to the steps above:

(1 * 2^4) + (0 * 2^3) + (1 * 2^2) + (1 * 2^1) + (0 * 2^0) = 16 + 0 + 4 + 2 + 0 = 22

Thus, the binary number 10110 is equal to the decimal value of 22.

By following these steps, you can entirely read binary numbers and convert them into decimal values.

Keep in mind that reading binary numbers, and converting them to their decimal equivalent, you have two options: you can either with the help of an online binary translator, or you can accomplish it manually.


In brief, to convert binary numbers to decimal numbers, you have to multiply each binary digit by two to the power of its place number, you should do it from right to left, and then add all the results together. When calculating the place number the rightmost digit place number has value zero.

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