The Power of Binary

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Binary Numbers

Understanding binary numbers can be difficult especially for those who do not excel in mathematics. To start the understanding process of binary numbers, you have to learn things on a step-by-step basis. This basically means that you need to start with the simplest of meanings and work you way up.

The simplest way to start things off would be to explain how you “read” binary numbers. Unlike many other things, you read binary number start from the right and going to the left. The next thing that you will need to understand is that all binary numbers are based on the power of 2. Here are a few examples to start:

2 to the power of 0 equals 1

2 to the power of 1 equals 2

2 to the power of 2 equals 4

2 to the power of 3 equals 8

2 to the power of 4 equals 16

These are just a few examples on how you would see the binary numbers based on the power of 2. The next thing that you need to be aware of is that these systems of number are shown as sequences of 1 and 0 in binary terms.

Binary numbers make up the basis of all technology. Any type of number, command, or circuit can be created through binary code; the code, of course, being the sequences of 1’s and 0’s.

A very simple way that many people learn binary numbers is through thinking of the “switch” process. If you are thinking in terms of a switch, you have only two options; on or off and the on and off in this case would be 1 and 0. Some may wonder why would need binary numbers in our everyday life. The answer is quite simple - electronic devices everywhere use binary code in order to function. Every single circuit inside your computer uses binary code for every function that is carried out.

Another very wonderful thing about binary numbers is that you can represent any number in binary, as opposed to trying to represent high numbers with just your 10 fingers. It would be impossible for just one person to have enough fingers to represent many high numbers.

The only thing that many people tend to get a little ruffled about is; when dealing with binary numbers is the long and drawn out process of mathematical calculations. There are, unfortunately, no shortcuts when it comes to calculating and writing out binary code. You may end up with continuous lines upon continuous lines of codes.

When thinking about binary codes, imagine that there are a set of rules for every single action that you do or even actions that your computer does as well. These rules are signified by binary numbers and in order to tell the computer what to do, a few sentences of binary numbers (or binary codes) must be applied in order for the circuits of the computer to read it and understand how to tell the computer to work.

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Binary Number:

Digital

Every single number on earth has a decimal to it. Decimals allow us to be able to write anything from the largest numbers to the smallest of numbers. Another thing about decimals that is very good to keep in mind is that they are based on the number 10. This is actually what makes learning about decimals very easy.

Before you completely learn about the decimal system, there are some aspects of the term you must know first. The first thing to learn would be “place value”. Place value is very simple to understand and will help you when it comes to learning more about decimals. Here is an example:

When looking at the number “483”, you can learn the different values of the places these numbers are in. The number three is in the 1’s place; meaning that there is only one “3”. The number 8 is in the 10’s place; meaning that there are “8” tens (or eighty). The number 4 is the 100’s place; meaning there are four 100’s (or four hundred). This is how someone knows how to say “four” hundred “eighty” “three” or (483). Knowing the values of these places are a great start to learning more about decimals. Just keep in mind that every time you move to the left a number get 10 times bigger and every time you move to the right a number get 10 times smaller.

Learning about a decimal “point” is next. Keep in mind that a decimal point is always to the right of a units position. When you are using the decimal point, you can place a number to the left and to the right of the decimal point. Increments get 10 times smaller to the right of the decimal point and increments get 10 times larger to the left of the decimal point.

Even though learning about decimals can be hard for some, you just have to learn how to think of decimals in your own way. Some like the straight forward method of learning decimals which is just remember the place values as we went over earlier. Others may like to think of decimals in a completely different way such as decimals and a fraction. An example f this would be the number 14.78. The way to think of this would be as 14 and 78/100. Another example of this would be 5.9 in which case you would put 5 and 9/10. For some this is an easier way to do it. You can even write these numbers as a decimal fraction. In this case you would say that 14.78 is 1478/100. then you would say 5.9 is 59/10.

No matter which way you choose to learn and write decimals, you just need to be sure that you setting the place values right and that you are using the correct number of spaces. Being sure of this throughout all of your work is a great way to make sure you are doing decimals properly on your work.

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Decimal: