# Decimal to Binary

Converting a decimal number to its binary equivalent is a fairly straight forward process. For example, take the number 1210 in base 10. When converted to binary, it becomes 11002 in base 2. Using simple tricks and an online converter, anyone can learn how to make this conversion from decimal to binary relatively quickly.

Number systems such as binary (base 2), octal (base 8), decimal (base 10) and hexadecimal (base 16) all have different base values, however, it is possible to convert any given number from one system to the other. This is most easily done by utilizing a decimal to binary converter that can quickly and accurately provide the conversion.

Decimal to Binary Conversion is the process of changing a number from base 10 to base 2. This is an important operation for computers, as binary digits (i.e. 0 and 1) are the language it is able to understand most effectively. Without decimal to binary conversion, programming and coding would be impossible. All decimal numbers have their equivalent binary numbers and the conversion process helps to bridge the gap between them. It is a fundamental tool that is used to power the world of computing.

The Decimal and Binary Number Systems are two of the most widely used numerical systems in the world. The decimal number system is the most widely used, using ten symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and is also known as the Hindu-Arabic number system. It works by giving each digit a specific location and value that is ten times more significant than the one before it. So, 2130, 2850 and other numbers would be regarded as decimal numbers and can be understood even without the base being stated.

The binary number system, on the other hand, is base 2 and employs only two digits, namely 0 and 1. This numerical system may be more familiar to those acquainted with computers, as its smallest unit of data is referred to as a 'binary digit' or 'bit' and is restricted to one of two binary values, either 1 or 0. Furthermore, the Most Significant Bit (MSB) is the bit on the far left end of the binary number and the Least Significant Bit (LSB) is the bit on the far right. Examples of binary numbers include 11102 and 10012.

Converting decimal numbers to binary numbers is an important process for many tasks, including calculations and data manipulation. To convert from decimal to binary, use the divide-by-two method, which divides the given decimal number by two repeatedly, in order to obtain the necessary binary digits from the remainders.

In conclusion, decimal and binary number systems are used extensively in the modern world, from everyday calculations to scientific and computing applications. Knowing how to convert from decimal to binary is a much sought-after skill, making it a valuable addition to any professional’s repertoire.