When you think about numbers, the first thing that probably comes to mind is that they’re all numbers. But what if it is told that there are two different ways to think about numbers? On one hand, you have the way that everyone learns, which is the decimal system. This is the number base that everyone is most familiar with: it’s the number base we use to price things, measure our wealth in terms of a few large numbers, and it’s the system we have to learn in school.
The binary system, or base-2, is the number system used by digital computers. It uses only two numbers, 0 and 1, and only eight possible combinations of digits. The decimal system, or base-10, is the number system we use every day. It uses ten digits and has a plethora of other possible combinations of digits.
In computer programming, binary to decimal conversion is the process of turning a binary number into a decimal number. The most common method used to perform binary to decimal conversion is to base the decimal number system on powers of ten. This means that if we take a binary number and divide it into groups of ten, we will get a string of ten digits. This string of digits can then be converted into a decimal number. Thus, below are some of the methods you should use to convert binary numbers to decimal numbers.
- Positional Notation Method– The positional notation method for converting binary to decimal uses a base-2 number base and a power of ten to represent the binary number. Let’s say we want to convert the binary number 1101 in binary form to decimal form.
The positional notation method is one in which the value of a digit in a number is determined by a weight based on its position. This is achieved by multiplying each digit by the base(2) raised to the respective power depending upon the position of that digit in the number. The summation of all these values obtained for each digit gives the equivalent value of the given binary number in the decimal system.
- Double Method– The doubling method is a simple way to convert numbers from binary to decimal format. All you have to do is double the number in decimal format and then subtract 1. For example, let’s say you wanted to turn the number 25 in binary format (10101) into decimal format. You would double the number in decimal format (50), and then subtract 1 (49).
When we think of numbers, we usually think of the decimal system: the one we use every day to count, measure and describe the world around us. The decimal system is based on powers of ten also known as the base and is easy to use and understand. In contrast, our system of numbers that uses the digits 0 and 1 known as the binary system is much more complicated. It’s used by computers, calculators, and other devices that perform complex calculations and are very useful for describing our world.
Binary to decimal and decimal to binary conversion is an important skill to have in any language. It is used to change a string that is represented in binary form into a string that is represented in decimal form. This can be used in many ways, such as to convert a number from binary to decimal or to reverse the process and convert a decimal number into a binary string. It is also useful for working with computer memory, as the binary system is used to store numbers in computers. For a better understanding of the concept of binary to decimal or decimal to binary visit Cuemath. They have a plethora of information to understand these concepts completely.
