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The binary ("base two") numerical system has two possible values, often represented as 0 or 1, for each place-value. Conversion binary to decimal and vice versa: We multiply each binary digit by its weighted position, and add each of the weighted value together.
In contrast, the decimal (base ten) numeral system has ten possible values (0,1, 2, 3, 4, 5, 6, 7, 8, or 9) for each place-value. 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.
Now, all you have to do is write 15510, to show that you are working with a decimal answer, which must be operating in powers of 10. 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.


Write your final answer as 8910 to show that you're working with a decimal, which has a base of 10. 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. As such, it is simpler for converting large numbers in your head because you only need to keep track of a subtotal.
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.


The decimal number 156 may be written as 15610 and read as "one hundred fifty-six, base ten". 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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Author: admin | 05.05.2014 | Category: Stock Online Trading


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