The binary system is one of the first numbering systems that exist, and that currently continues to make people talk as it is used in numerous forms of computing to represent numerous applications. One of the great peculiarities of this system is that it is only made up of zeros and ones. However, the complexity of the system is high, so it is necessary to know it in depth.
Despite this, it is not usually taught in a common way in schools but it is really necessary in many professional fields related to the technology sector. Therefore, knowing how to add in binary is currently of vital importance for many jobs and jobs.
What is the binary system?
As an anecdote, most computers today continue to work with a binary system since it is compatible with high levels of electrical charges in volts, precisely what these devices require for them to work correctly and we can get the most out of them. The history of the binary system is obviously closely related to the technological advances that occurred at the beginning of the 20th century. In this way, the first representation of this numbering system is located in the third decade of the century.
The person in charge was Claude Shannon, who at MIT was the first to develop a line of work related to relays and computing. Subsequently, and after his debut in 1937, the scientist Stibitz used in the creation of the so-called Model K, the calculation of the binary system for the first time in history.
All of this in an uncertain period since World War II would break out a few years later and, therefore, during a war period it seems more difficult to invest in technological progress. However, it was possible during a tumultuous period between the wars.
In 1940 another step was taken in the history of the binary system thanks to a new advance to create a calculator that allowed calculations of really complex numbers with direct application in the world of economics and mathematics. Another of the particularities was its presentation since for the first time it was done over a telephone using a teletype. Undoubtedly, despite dealing with the binary system, progress was also made in this regard. However, this numbering system presents certain differences with respect to other systems in a really clear way.
The different types of numbering system
The binary system, as we have said before, is characterized by the particularity that it only has two types of numbers that are generally zeros and ones. On the other hand, other numbering systems such as decimals or hexadecimals have many more possible combinations. In this sense, the decimal has, on the one hand, numbers from 0 to 9, and on the other hand, at the level of unknowns, they usually use the letters from A to F, although on the other hand, there are also possibilities with other graphisms to complete the equations.
On the other hand, the hexadecimal system, as its name indicates, has up to 16 options that can generate thousands of possible combinations to express with this numbering system, in addition to the possible letters. Obviously, if you go out to carry out a survey in the street and ask about these three numbering systems, the decimal will be the best known for the simple fact that it is used in schools to carry out equations or systems of equations, in the case of include more than one unknown and perform solutions with one of the three possible solutions.
However, the binary system continues to have its important capacity since it has multiple applications in the computer field and, therefore, its knowledge and the possibility of being able to operate with it is of vital importance.
Benefits of adding with binary system
Still, there are numerous benefits to knowing how to add with the binary system, one of the most storied numbering systems in existence today. The most prominent are the following:
- Get to know one of the oldest systems. As we have said before, the binary system is one of the systems with the longest history. Therefore, knowing it in depth will give you a really broad vision of this entire sector.
- Develop a professional career. Computer science constantly works with binary systems and, in this sense, there are multiple vacancies that require having this knowledge and mastering binary addition. If you are interested, without a doubt, this is your place.
- Improve calculation capacity. On the other hand, the binary system and the different operations that it includes require mental agility. As occurs with some board games such as chess, the fact of operating with a binary system will improve the calculation capacity.
- Be an expert in number systems. Knowing the binary system, like other systems such as decimal or hexadecimal, will allow you to become a true expert in number systems and, therefore, be a privileged person in the world of mathematics.
How to add in binary?
Once the binary system is known, it is also important to know how to perform additions using this type of system. As with natural numbers or decimals, in addition to subtracting fractions, among others, this type of numbering system has a really well-known and ordered structure that allows addition without making mistakes and ensuring the correct final result. The first step is to lay the right foundations to carry out operations. Remember that unlike traditional numbering systems, in the binary system you will not find units, hundreds or tens.
You will need to adjust if you are not familiar with the system itself as you will see ones, twos, fours and eights. The ones will be located on the total right side of the column while the eights will be on the left. In this sense, raising positional values should be the first challenge that must be covered in order to start adding correctly. However, if you wish instead of twos, fours or eights you can write ones and zeros, the traditional values of the binary system.
Once you are clear about the positional value of each of the representatives of the binary system, and you have adapted it to your style, you can start trading and adding with this system itself. When considering a binary addition, as the name itself indicates, you can find two possible situations. The first that the result of the sum between one and zero gives one. In this case, the final result that should be entered as a result will be one. On the other hand, if it gives two, the final result of the sum itself would be a zero. The initial step is quite similar to that of the traditional numbering system.
Be careful with the position of the numbers
We will place in a first column the first name of the binary system, made up of zeros and ones. At the bottom, and parallel to the rest of the previous numbers, we will place the second row of numbers. From then on, we will carry out the addition having the possibility of two possible results as we have seen previously. If the result gives one it will be a one, and if it gives two it will be zero. We will add column by column and we will write down the result.
Take as an example the sum of 0111 and 1110. In this case, the result would be 1001. The 1+0 always results in 1, while the 1+1 will always result in 0. These are the two possible options that the system contemplates binary. When said with the prefix bi-ya, it contemplates two options. The same thing happens with the term bisexual, which refers to a person who is attracted to two different sexes, such as masculine and feminine. However, the addition of binary numbers can become complicated if more than one possible addend is added. Do not forget that it is allowed to add up to more than two different values for each operation you carry out.
In this case, you should know that if there are two pairs of ones in the column, it will be necessary to mark them. If there is any leftover one without its partner, it will be necessary to draw it in small in the area of the questions. You must carry out this procedure and write down the answer until you complete all the columns that appear in the problem. Once you have completed the problem, do not forget to review the answer to make sure that you do not make any mistakes. Verification is the only way to avoid making mistakes that damage the final product you present.
Obviously, on the computer you will find online calculators that allow you to carry out these operations in an agile way without making silly mistakes that end up damaging your product. However, knowing the procedure of the binary system will always help to achieve all the benefits discussed above. For this reason, try whenever you can soak up everything that the binary system brings you, since you will have a much more optimized vision of what the numbering systems are. Much of the history of the sector is here and it is necessary to know it in order to continue advancing properly.