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28.10.2014 admin
The binary ("base two") numerical system has two possible values, often represented as 0 or 1, for each place-value. The calculator that comes installed with Microsoft Windows can do this conversion for you, but as a programmer, you're better off with a good understanding of how the conversion works.
To avoid confusion before and after conversion, write the number of the base system that you are working with as a subscript of each number. Since we are dividing by 2, when the dividend is even the binary remainder will be 0, and when the dividend is odd the binary remainder will be 1. The calculator that comes installed with your operating system can do this conversion for you, but as a programmer, you're better off with a good understanding of how the conversion works. Converting in the opposite direction, from binary to decimal, is often easier to learn first.
Now, just write 10011011 below the numbers 128, 64, 32, 16, 8, 4, 2, and 1 so that each binary digit corresponds with its power of two. Draw lines, starting from the right, connecting each consecutive digit of the binary number to the power of two that is next in the list above it. You can use this method even when you want to covert a binary number such as 1.12 to decimal.


Since you're working with the binary number 10110012, your first digit all the way on the left is 1.
The calculator's conversion options can be made visible by opening its "View" menu and selecting "Scientific" (or "Programmer").
In contrast, the binary (base two) numeral system has two possible values represented as 0 or 1 for each place-value.[1] Since the binary system is the internal language of electronic computers, serious computer programmers should understand how to convert from decimal to binary. In this case, the decimal number will have a subscript of 10 and the binary equivalent will have a subscript of 2.
The "1" to the right of the binary number should correspond with the "1" on the right of the listed powers of two, and so on.
Begin by drawing a line from the first digit of the binary number to the first power of two in the list above it. The more you get used to converting from binary to decimal, the more easy it will be for you to memorize the powers of two, and you'll be able to complete the task more quickly. 128 is the greatest power of two that will fit into 156, so write a 1 beneath this box in your chart for the leftmost binary digit. 64 does not go into 28, so write a 0 beneath that box for the next binary digit to the right.


For example, the binary number 10011100 may be specified as "base two" by writing it as 100111002. Then, draw a line from the second digit of the binary number to the second power of two in the list.
The first thing you need to of is to write down the binary number you'll be converting using the doubling method.
Write the base of the destination system (in our case, "2" for binary) as the divisor outside the curve of the division symbol. Since the binary system is the internal language of electronic computers, serious computer programmers should understand how to convert from binary to decimal. Converting in the opposite direction, from decimal to binary, is often more difficult to learn first. Stop when the amount of elements in the list is equal to the amount of digits in the binary number.



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