We all deal with numbers regularly. Numbers are something without which, we can’t imagine our world. Every single individual is taught about numbers and different operations that can be applied to them. Let us look at the various number systems that we deal with. One of the most common among all the number systems is the decimal number system. We will discuss decimals in detail and look at a few other number systems also.
Decimals are one sort of number in the Algebra subject. A decimal number has both a full number and a fractional component that is separated by a decimal point. The decimal portion is the dot that appears between the entire number and the fractional part. For example, 55.6 is a decimal number with 55 as the whole number component and 6 as the fractional component. The “.” represents the decimal point of the number 55.6. Now, we have got to know what a decimal is. Now, we are going to discuss the decimal number system.
Decimal number system consists of a total of 10 digits that is 0,1,2,3,4,5,6,7,8,9. These are the numbers that are used in the decimal number system. All the numbers are formed from these numbers only. Just like the decimal number system, there are other number systems also that are being used. One of them is the binary number system. As the name suggests there are only two numbers in the binary system. 0 and 1 are the two digits that are used in binary. Conversion of one number system to another is possible. Let us look at how to convert decimal numbers into binary numbers.
To convert decimal to binary numbers, we must follow the methods outlined below:
- To begin, we must divide the specified decimal number by ‘2’. Once we divide the number by two, it will yield the result as well as the remainder.
- If the specified decimal number is even, the remainder will be ‘0’. If the specified decimal number is odd, the result will be inaccurately divided, yielding the residual ‘1’. We will continue this process of dividing the decimal number until we get the quotient as 0 or 1.
- When we reach the ending, we have to write the remainder of all the steps together. One should write the remainder from bottom to top. This point is very crucial as many students make mistakes in this step only.
Let us take an example to understand this concept of conversion in detail.
- Let the given decimal number by 29. Now, if we have to convert it into binary, we will start dividing it by 2. In the first step, we will get 14 as the quotient and 1 as the remainder. In the next step, 7 is the quotient and 0 is the remainder. Now when 7 is divided by two, we will get 3 as the quotient and 1 as the remainder. Finally divide 3 by 2, we will get 1 as the quotient as well as the remainder. Now we will write the remainder we got in every step together, but in the opposite direction from bottom to top. Thus we get the result as 11101.
In the above article, we have discussed decimals and the conversion of decimal to binary. These conversations are very crucial for us to comprehend. Students should learn these topics thoroughly as they are highly used in higher education. Students can take the help of online platforms to learn these topics. One of the best platforms that students should consider to study such math-related topics in Cuemath. Cuemath easily explains such complex concepts of mathematics to students without any difficulty.