Why Convert to Binary Code

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Binary as a numerical system is mainly used in computing, it’s not really something we need to use in our daily lives but there are times like, for example mainly out of personal interest we want to understand just how binary conversion works. To understand this you have to understand the concept of the switches used in computer language and just how this represents numbers in the system.

Basically there are two states for a switch in computer logic. This is on or off, or as we see it in actual binary strings one and zero. With modern computer moving into quantum computer this looks at the concept that there can be more than one state for a switch, a more complicated switch and that this will add to the states available. This of course will not be a binary system though but it will extend the concept of binary.

Binary was decided upon for use with computers because at the point of needing the way for computers to do these calculations they had only two states of a switch, on and off. It would not work on a numerical system which works in tens with each ten “unit” having a value of zero to nine in it, if you consider this in a system that works by switches and the concept of on and off at that point you did not have the concept of 10 different states for a switch. This will of course change in the future and create a way to have faster computing but for now binary is the system used. This is the way computers communicate and do calculations.

Conversion to binary is not hard when you understand the concept that each numeric until in a string “10001001” for example is an on and off state of a number multiplied by two. This starts from the right where the first value is of course one, then the second value is one multiplied by two, then two multiplied by two and so on.

This allows the system that is using binary to create any kind of number it needs based on the zero and one values that have been set in the string, for example the binary string mentioned before is 137 as the values set to 1 represent 128 + 8 + 1. So when a number is converted to binary it’s a case of finding out which of these values are used to add up to the decimal value.

This is the basic theory of converting to binary and of course it can get more complicated as the decimal number gets bigger. Conversion to binary, especially for the human brain can be quite slow if you are not used to it as we are programmed to use the decimal system but in time and with understanding it’s easy to see that the concept is not that hard and is just the case of using the correct set of on and off switches set.

Uses of Binary Decoder

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Decoder is a word which has a vast meaning. Decoder means to find out the actual meaning of something. It is the reverse operation of encoding and now used a lot in computing. Decoder is basically a combinational circuit. Its function is to convert binary information from the n input line to maximum of 2n output line.

Multiple inputs can be taken into a decoder in digital electronics. If you think about a decoder circuit, you can think about the AND gate. The main function of AND gate is to deliver the high output when all inputs are high and deliver a low output when all inputs or one of the inputs are low. Here high means the state 1 and low means the state 0. If a AND gate shows high output, then NAND gate will show a low output. That means to get the low output when all the inputs are high; you have to use a NAND gate.

The low output we get from the NAND gate is called active low output. There are many complex decoders. One of them is n to 2n decoder. These types of decoder circuits convert binary information of n inputs to an output of 2n outputs. There are many types of decoders. Their uses are also different. The most used decoders are 2-to-4 decoder, 3-to-8 decoder, and 4-to-16 decoder. Enable signal is used to form a 3-to-8 decoder from two 2-to-4 decoders. You will get a 4-to-16 decoder if you combine two 3-to-8 decoders. There is also decoder with enable inputs and this decoder is called demultiplexer.

In practical life, decoder is used in many electronic devices. One of them is mp3 player. Decoder is used in small mp3 players having a large storage of minimum 4 GB. The secret of its small size is decoder. Two types of decoders are used in these devices. One is VS1002D .mp3 decoder and another is wav compatible decoder. A decoder called VS1001K is used for standard mp3 files. Open source players use a different type of decoder called VS1011. IPod is a very popular music player product around the world. The quality of this product is renowned by all. This product is also made by using decoders. Samsung decoders are used in IPod. Digital versatile disk is a common product which is made of decoders. Here decoder is used in storing data and showing data.

The most important use of decoder is in the messaging service. Messaging is a very special type of service. Many official and personal data are transferred through messaging. So the security of the data must be ensured. To ensure the security of the data, the data is sent encoded. As a result hackers cannot hack the data. But encoded data cannot be read by the user. So the data must be decoded for reading. Here, a decoder is used to decode the data. Decode is used especially in business software. In this type of software maximum information is transferred which is encoded. So you have to decode the information and so you need a decoder.

Understanding Binary Conversion

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Normally the numbering system we use every day is known as the decimal system or what is known as the Base-10 system. There are other numbering systems that can be used; one of these is the binary numbering system which is also known as binary.

To show the difference you can look at the decimal system you are used to. As this works on multiples of ten it works like this. Going from the decimal point to the right you first have the “ones” then “tens” then “hundreds” then “thousands” and so on, each value (from 0 to 9) in these columns represents one of these values. So for example when you have 198 this is eight “ones”, nine “tens” and one “hundreds” leading to the value one hundred and ninety eight. This is simple and easy to understand and part of the reason we work by this numerical system. It is easy to work out for the human brain as this is how we think.

Other systems though use a different style of numerical system though because it’s easier for them to work out. The binary system for example is a system that is good for use with computers as it is simply a representation of 0 or 1 based on the numerical value of 2. So for example where in the decimal system 11 would be eleven in the binary system this would in fact be 3 as it’s one “ones” and one “twos”. This would be the same for 111 which in decimal is one hundred and eleven but in binary is in fact 7 (one “ones” one “twos” and one “fours” so 1+2+4). Once you can understand this concept then it’s not hard to understand the beginning of converting other numbers to binary. This is only the beginning though of course.

When there are numbers that are not needed then you can “turn off” that number by setting it to 0. So for example to make 9 you would have 1001. This one be one eight and one one (8+1 = 9). This means that any number can be created by finding the correct combination of binary equivalents. This method of calculation is faster in theory and works especially well with computers, often being seen as the “language of computers”.

Once you understand binary and how numbers are calculated you can start to see just how computers communicate. They are systems that talk in a series of ones and zeros sending values from one place to another to distribute the information around to the place it needs to be.

The reason computers use binary of course is the concept of the switch. As mentioned computers talk in a language of ones and zeros which are easily translated to on and off. In the future this may change as we move into better technologies that allow for more complicated switches without the on and off concept. The closest thing at the moment to that are quantum computers.

Obtaining Binary Number Converter

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A binary number converter can be very necessary sometimes because, some people simply cannot convert binary to ASCII or perhaps text and this is why it is mostly imperative to consider all this as something very necessary. In the past, people use to go do all these on their own but then, as time went by, technology brought about very easy converters that can be used instead doing it the hard way. Before any interested person can obtain this particular converter, a little bit of research has to be conducted to make things very easy. This therefore explains why some are usually successful with the converters whiles others are not. Until this is clearly obtained, it will continue to be an issue of discussion.

When trying to get access to a binary number converter, certain vital places should be considered. For instance, some electronic shops where computers are sold may possess these converters for sale and this of course is a good sign that needs to be made known. The first thing to do is simply identifying a very good shop where these electronics are being sold and with this, every transaction can always take place without any hesitation whatsoever. Some of these reputable shops may even place a special order for any interested person provided they do not possess the converter at that particular instance.

Furthermore, another relevant way is by shopping online. In fact online shopping is one of the most appropriate ways of doing things and hence those who have knowledge about this usually get access to the very best of commodities and this is why it is very incessant to always place much emphasis on that aspect too. The most important thing to do is simply locating a very reputable site where these converters are being sold. Immediately this is located, the next important thing to consider doing is by simply placing an order. Sometimes, there is even some kind of discount provided and this is yet something remarkable that needs to be made known all the time.

Hitherto, instead of obtaining the converter itself, one can also decide to make the conversions online. In fact there are a whole lot of websites available that usually displays a specially designed converter on their pages where one can decide make good use of. The good news is that, it is absolutely free to deal with an issue like it and this is of course something very imperative that needs to be made known all the time. Some people have given such things a try and are usually very glad with the outcome and this definitely implies that, any other person may have the opportunity to do the same.

Another simple way may just be meeting friends who possess these converters and as such also making good use of them. Some people may already have friends who might have purchased a binary converter and for this reason, one can decide to give them a try by asking.

Converting Text into Binary Code

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Converting text into binary code is a very common factor in computer science. This is a process, and it is called decoder. It is exactly the opposite operation of encoding. It is used to retrieve the original information from the encoded data. It is used in many sectors.

ASCII code is a 7 bit code and it has only 127 values to represent the characters and numbers. It is not easy to represent all the characters and numbers by only 127 values. As a result, an extension is needed in the representation of these characters. If you are able to use 8 bit code, you will be able to solve this problem. Because 8 bit code has 256 values. Binary code is 8 bit code. It can represent 256 characters.

You can encode character strings by using binary code. There are two methods for performing this operation. One is fixed-width method and another is variable-width method. In the fixed binary method each letter, digit, and other characters are represented by a fixed bit string. The length of the string is same in this method. There are binary values for each string. If you consider a string ‘a’, the binary value of it will be ‘01100001’.

There is a history of binary code. Pingala introduced the world with binary number system in his book Chandashutram. This book was written in 100 BC. Binary number is the foundation of binary code. It was first initiated by a German mathematician Gottfried Wilhelm Leibniz in the 17th century. He was not only a mathematician but also a great philosopher. He tried to establish a relation between logic and mathematics. Later he gave a theory in which it was proved that life can be described by a simple set of propositions.

He created a row which was formed with only 0 and 1. He discovered this system but could not find a sector to apply this system. In 1847, a great mathematician and philosopher George Boole published a paper. The title of the paper was ‘The Mathematical Analysis of Logic’.  It was a description of an algebraic system of logic.

This paper is now called Boolean algebra which is a great method in computing. But this system was not applied also. Later a student found that Boolean algebra has a close connection with an electronic circuit. After this innovation, Boolean algebra was used in electronics and still now it is a very important method in electronics.

There are many forms of binary code. Braille is one of them. It is a code which is encoded by blind people. They read and write by using this code. It was discovered by a person named Braille. Later this code was named after his name. Nowadays it is the only way of reading for blind people.

There are many uses of binary code. It is the most used code now. The maximum use of this code is in computer. It is also used in other memory devices such as CDs, hard disks, etc.

How to Convert Decimal to Binary

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When converting decimal to binary it’s important to fully understand the decimal system itself. It works on the Base-10 system so for example 1000 if zero ones, zero tens, zero hundreds and one thousands this makes it one thousand. Another example will be 123 which is three ones, two tens and one hundreds making one hundred and twenty three. This is the counting method that we are taught at school and this is the adding up method that is easy for our brains to cope with. We are programmed into counting in this method so it becomes natural for us.

With computers they were created differently, they were created to use the Base-2 method which works on the concept of each unit being a multiplication of two. Each of these units has either zero or one as a value zero meaning off and one being on, like a switch. This is how computers were created to work and how they work now to this day. In the future switches will be used that can handle more values than off and on but for now we have to work with binary as this was the computer language decided and how computers work. Of course the complicated (or not so complicated) connection between decimal and binary comes in the conversion between the two.

To convert from the decimal system first you need a number to work with. If for example you took 2345 this is five ones, four tens, three hundreds, two thousands. To get to this value in binary you will have to look at what numbers add up to make this value. This would be 100100101001 which of course when you do not understand how binary conversion works can look hard, and is impossible to really sum up with the human eye until you pull out what each number actually is.

To get to the value of 2345 in binary you have to find out what numbers to the power of two can be used to equal it. The fastest way to do this would be to use a converter but for this we will look at the sums. As an example to find this best it would be 2048 + 256 + 32 + 8 + 1. If you now look at 100100101001 you can actually see where these values are coming from. There are one “ones” no “twos” no “fours” one “eights” no “sixteen’s” one “thirty two” and so on, Once you see the pattern it’s fairly simple but takes a little maths to work out.

The best way to do this conversion is to find the best way to calculate the actual number based on the binary structure of Base-2 then write out the line of binary based on that. It’s not hard when you get used to it but for bigger numbers it is probably easier to get a conversion tool that can easily and simple do this for you and provide the answer in milliseconds.

How to Convert Binary to Decimal

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A number can be expressed in four forms such as decimal, binary, octal and hexadecimal. The bases of these systems are different. Decimal is 10 base system, Binary is a 2 base system, Octal is an 8 bases system and Hexadecimal is a 16 base system. The details of each system are given bellow:

  • Decimal = 0, 1, 2, 3, 4,5, 6,7 ,8, and 9
  • Binary= 0, and 1
  • Octal= 0, 1, 2, 3, 4, 5, 6, and 7
  • Hexadecimal= 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

From the above data you will get a clear concept about the bases of different systems. The base numbers are used to represent a number in that specific system. For example, to represent 6 (six) which is a decimal number in binary, we need to write 110 (6) because binary system works only with 0 and 1. It is necessary to convert numbers from one system to others. For this conversion process you need to know the methods of converting one number to other number system.

In this article you will be able to know about how to convert binary to decimal. It is not a difficult task. There are several methods to convert binary to decimal. You can do the conversion manually or you can use calculator or a program made using java, C++ and other languages. An example of binary to decimal conversion is-

[(1) × 25] + [(0) × 24] + [(0) × 23] + [(1) × 22] + [(0) × 21] + [(1) × 20] =

[1 × 32] + [0 × 16] + [0 × 8] + [1 × 4] + [0 × 2] + [1 × 1] = 37

Here, we converted 100101 to decimal system and we found 100101=37.

This method is explained below:

  1. At first you need to observe the binary number. You need to find the total number of digit is used to write the number. In the given example there are 6 digits. So, the power of 2 will start from 5. If total digit is n, then the power will be (n-1).
  2. You need to multiply the corresponding digit with 2n like 1×2n
  3. Then you need to sum all the multiplication result. The final result will be in decimal form.

This is a very much simple method. Now, you choose a binary number for yourself and convert it to decimal. You can verify you result by converting the decimal number again into binary or just use you calculator. All number systems excluding Decimal are used in computer language. Computer does not understand Decimal numbers. It mainly uses binary system of 0 and 1. If you are a programmer, you must know about these conversions.

It will help you to understand the working methods of a computer. Whenever we input any number using key board, the given number is in decimal form. Although the number is actually converted into binary using a encoder. Without this system it would not be possible for us to use computer. That is why the conversion is very important for us.

Benefits of Decimal to Binary

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For those who have no great passion with Math, they may feel awkward when dealing with decimal to binary system. But being able to solve mathematic problems, especially with thing related to binary accounting system is really boasting pride. Herein, you will learn things about decimal to binary algorithm that computers have long used. Thankfully, there’s no need to deal with complicated calculation when planning to convert numbers, an online character works well to automatically translate decimal into binary characters and vice versa. There is one thing for you, guys! When you wish to convert binary to decimal, there is quick tool to convert the source and targeted characters in no time and no charge.

How does the decimal to binary system work out?

Before stepping into further, we need learn about the positive side of using this system. It is good answer for any problems related to binary and provides reliable result. Why is it so? It goes with algorithm that quickly finds out position of particular element mentioned in the list. Also the search parameters are given to equip the system, once it is given, the search is begun. This system begins the search from middle up and arranges the values from top to low. Let’s say, if the search hits 75 then it should be 100 units. In this case, it begins at 50.

An example above shows the accuracy of decimal to binary operation system in the form of algorithm application. Just figure out how it goes with it more than thousands units. In fact to begin searching particular numbers in large list of linear, the system probably takes approximately one million comparisons before displaying right answer. Indeed it just spends a lot of times to finally figure out the answer. Thanks to Algorithm application that helps cut out very consuming time in the search attempt. Moreover in order to find out more correlation between decimal and binary, the application of decimal to binary calculator is urgently needed for converting the numbers rapidly.

Throughout its complicatedness, a question appears in mind regarding to decimal to binary. Why are people involved with these complicated characters? It’s always a difficult thing to the eyes of Math loathers. However in everyday’s life, especially in cyber world, dealing with this actual problem is inevitable. Most electronic devices apply binary code to create command. Also in every processor, there is always binary code to perform each function properly. Well, even though being hatred, the code is always popular.

The revelation has come to end. A fantastic thing about decimal to binary application is that you can use any type of number in binary.  Understanding about binary codes gives simple definition and benefits in everyday’s life. Even in the processors, the use of this code is really effective to perform any commands. Let’s imagine how the processor can go with several rules without binary numbers. The result would be fail down. Due to its significant effect, it must be applied in the computer’s circuit for running the program efficiently.

Decimal to Binary Converter How it Works

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Decimal to binary conversion is not hard to work out with basic maths knowledge but it’s always faster and easier to have a converter that can do this for you.  It’s quite a simple conversion especially when a computer can do it for you as it just takes the number that you give it and calculates this based on the Base-2 numerical system.  This can take a computer a few milliseconds where if you yourself had to work it out you would have to look at each digit on the binary message and work out exactly what number this was.  This of course can be time consuming.

The reason converters are faster at doing this is because of the way computers are designed.  Because they are used to the switch system that works on the one for on and zero for off method they can quickly work out exactly what value in binary it is you are looking for.  Our minds as humans do not work in the fashion binary do so it takes us awhile to learn exactly what the values are and where they fit into a binary string of number.

Taking an example as simple as 213, this can be quite easily worked out as it’s one “ones” one “twos” zero “fours” one “eights” one “sixteen” one “thirty two” and one “sixty four” this means 1 + 2 + 8 + 16 + 32 + 64 = 123.  This is the simple way that a converter will work out the value, but in a much faster fashion than we had to do it here.  Using converters it is possible to convert huge decimal numbers into binary where it would be very complicated for us to try to do this.  This is our main need for conversions to be done mainly by computers.

It is possible for us as human beings to be able to work out the binary for these values ourselves but as the number gets bigger so does the calculation required in binary form to get to the specific value that we have been required to get.  Take for example the number 6,000,000,000 this is 111101110110111000110110000000 which is found by using a converter.  This could be calculated if you were good at maths but it would take a long time where a converter can do it straight away with little thought.  A computer program can easily be created to work out this type of calculation and this is of course because computers can do these calculations very fast because this is how they communicate and do calculations themselves.

If you were wondering what the calculation was to get to the binary form it would have been 4194304 + 1048576 + 524288 + 131072 + 65536 + 32768 + 2048 + 1024 + 256 + 128 computers can work this out very quickly and with little problem, this is why we use converters instead of doing the calculations ourselves.

Classical Way of Decimal to Binary Conversion

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Number system is something that is used for counting purpose. There are a few kinds of a number system based on different base. For example, we generally use a decimal number system which is based on 10. A number system that is based on 10 means the number can have numbers. Similarly, a widely used number system is Binary number system. Binary number system is based on two numbers. That’s why any number in this system can have the combination of 0 & 1 only. As we use Decimal number system in general purpose and Binary number system for computer programming purpose, it’s important for us to know the rule of decimal to binary conversion.

Every single decimal number can be converted to Binary form. Decimal number system is used in most of the countries a normal counting system. It is believed that, the Decimal number system, which is actually based on 10, has come from the counting using fingers of our hands. People used to count different things using their fingers of both hands. As we have 10 fingers in our hands, so we can count up to 10 using fingers. That is how the base 10 number system is originated.

On the other hand, Binary number system is used about all the places related to computer or programming. Computers can only understand binary numbers. Whenever we input any number to the computer using a keyboard, the number is converted to Binary numbers using a system, although we are giving input as Decimal. If there was no decimal to binary conversion in computers, we could not even use the computer. So, for all the programmers, it’s very important to know the rule of decimal to binary conversion. The way to convert Decimal numbers into Binary number is given bellow-

  • First of all, you need to subtract the Decimal number with the largest possible power of 2.
  • Keep subtracting the reminder after the first step with the largest possible power of 2.
  • Whenever it’s possible to subtract using any power of 2, put 1. When it’s not possible to subtract with any power of 2, put 0.
  • Finally you will have the Binary number.

For example, if you want to convert Decimal 44 into Binary. The largest power of two which can be subtracted from 44 is 25 which are equal to 32. So, we will write 1 for it. After subtracting 32 from 44, we have the reminder of 12. We cannot subtract 12 with the next power of 2 which is 24 because 16 is larger than 12.

We will note 0 for it. Then we can subtract 12 with 23 which are 8. We will note 1 for it. Then, we have a reminder of 4. It can be subtracted by 22. Again, we note 1 for it. Then we have reminder of 0. It can be subtracted by 21 and 20. So, we will note 0 and 0 for these two occasions. Finally, we have the Binary number of 101100 which is the conversion of Decimal 44. That is how we can do any decimal to binary conversion.