So, it is important to convert the decimal numbers into binary numbers. But machines like computers and electronic equipment use binary and can only understand the binary data. We use decimal numbers in our day-to-day life calculations and numbering. Digital wireless communication transfers data in the form of binary bits. Digital data is stored in the form of binary bits. In 1937, Shannon published his findings in his thesis, which became the initial point from where the binary system is being used in Digital Logics, Computers, Electric Circuits, etc…Īll modern computers use binary encoding for their instruction set and data storage. Claude Shannon noticed the similarity between the Boolean Algebra and logic of electric circuits. This system was based on binary ON-OFF logic. In 1847, George Boole in his paper ‘The Mathematical Analysis of Logic’ described Boolean Algebra. The use of this system in western culture was started during the 12th Century in commerce and sciences. Thus, this system is popularly known as the Hindu-Arabic system. The symbol ‘0’ was invented in India and the idea was carried to the East by Arabians during trades. symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are used in this system. It is also called a base-10 system as it uses 10 symbols to represent the numerical. What is a Decimal Number System?ĭecimal numbers are also known as Hindu-Arabic Numbers. The collection of 4-bit is known as ‘Nibble’ and 8-bits forms a ‘Byte’. In this system, numbers are represented as the rows of 0’s and 1’s. In this system, text, data, and numbers are represented as a base-2 numerical which uses only two symbols.
If you have any questions or problems feel free to leave a comment.The usage of binary numbers can be found in the texts of ancient cultures like Egypt, China, and India. Try it with any number and let me know how you get on. Start from the bottom and work upwards until you get to the end.Īnd that’s it. Now we’ve got everything worked using the remainder column we can write down the binary number for the number 94932012. It’s recommended to write binary numbers in groups of 4.
Note: I’ve written the results in rows of 4. The quotient is the result of the division. The divisor column is the number we’re dividing by (for base-2 it’s always 2). The decimal column is the number to be divided. But, I want to show you how simple it is. In reality you wouldn’t want to do these sorts of numbers manually because humans make mistakes and calculators are faster. Starting from the bottom write down the remainder numbers: 10001 … and thats it! That’s the number 17 in binary. That probably sounds a little confusing, so let me show you an example with the number 17: 17/2 = 8 remainder: 1 8/2 = 4 remainder: 0 4/2 = 2 remainder: 0 2/2 = 1 remainder: 0 1/2 = 0 remainder: 1 To convert a decimal to binary you simply divide the number by 2 recursively until you get to 0 and note down any remainder.
So you want to know how to convert decimal numbers to binary, huh? The good news is it’s very easy.