Who would have thought that the binary number system developed by Gottfried Wilhelm Leibniz a few centuries ago would power the working of computers? The binary number system is behind the swift working of digital circuitry, computers, and smart devices. The number system we know as the Binary number system has undoubtedly laid the foundation of advancements in technology.

This number system uses 2 as its base and has only two digits 1 and 0; all the numbers in the Binary system are represented using a particular arrangement of these binary digits. A binary digit is shortly referred to as a ‘bit’ which is also the smallest unit of memory in computers and smart devices.

The language understood by machines, computers, digital circuitry, and smart devices is machine language, which is based on the binary number system because of its simplicity. In machine language, there are only two values, ‘on’ and ‘off,’ both these values are represented using bits ‘1’ and ‘0’, respectively. Different characters are processed and preserved by computers in the form of ‘bytes.’ A single byte consists of 8 bits. Read on to know more about binary number systems and binary conversions.

**Binary Conversions**

What if we have to understand the code used by computers or convey our message to a computer in machine language? Can we do it? The answer is yes! Technology allows us to decrypt the machine code and encrypt the text in machine language easily. You simply need to convert the code written in binary to text using a binary translator online.

A binary-to-text converter can also allow you to make a few other conversions as well. We will discuss a few binary conversions to help you understand how technology can help you understand the machine language and convert it into various other expressions as well. Further details are given below:

**Binary to Text Conversion**

Multiple character systems like ASCII and UTF-8 systems are used to convert the machine language or binary code into simple text that is understandable by humans. Multiple numerical values are assigned to various characters, numbers, alphabets, and symbols by these systems. If you want to convert a binary code to text and understand it, all you need to do is understand those values and then convert the bytes of machine language to corresponding characters. However, you can avoid all these hassles easily by using a binary to text converter.

The formula for manual binary conversion is simple; if you know the specific byte values of the ASCII character system, you can encrypt a simple text into machine language code. However, this process may take plenty of time and effort on your end; a binary translator can do the job pretty easily.

**Binary to Decimal**

The decimal number system is the most commonly used number system around the world for calculations. If you want to do complex calculations and the numerical values are written in the binary number system, then you need to convert these numbers to decimal numbers before making calculations. As the binary number system is a positional number system, you can easily convert binary numbers into decimal values. All you have to do is multiply each bit with a corresponding power of 2. The rightmost number will be multiplied by the lowest power of 2 and then increase the power of 2 by 1. Once you are done with it, simply calculate each multiplication and then add the obtained values to get the corresponding decimal value.

Similarly, to convert a decimal value to a binary number, you need to keep on dividing the decimal number until the remainder becomes either 0 or 1. Once you obtain a remainder equal to 0 or 1, write the remainder starting from the bottom to the top to get the corresponding binary value. If you want to avoid calculations, a binary to decimal converter will come in handy for you.

**Binary to Hexadecimal**

When it comes to the conversion of binary numbers to hexadecimal numbers, it is quite easy. All values of hexadecimal digits can be represented using a set of 4 bits, which is half of a byte. If you want to convert a binary number into a hexadecimal one, divide a byte into a pair of nibbles and then check for corresponding hexadecimal values. You can convert a binary number into a hexadecimal value easily by using this method.

Similarly, if you want to convert a hexadecimal value into a binary number, separate each hexadecimal digit in the value and replace it with its corresponding binary value. This method can help you convert hexadecimal numbers to binary values easily. However, you can also convert binary to hexadecimal and hexadecimal to binary values using an online binary to hex converter.

**Final Thoughts**

The binary number system is the foundation of technological advancements these days. It is still used as the back-end code for computers and smart devices because of the simplicity it offers. However, converting binary code to simple text and other systems is not so simple. We have discussed a few conversions in this writing, but doing these conversions manually may cause unidentifiable mistakes. You can use an online binary to text converter for this purpose. Using this tool will help you save plenty of time and effort. We hope this information will be helpful for you.