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# Binary explained

## Binary Numbers Explained - Steve

The method used for ancient Egyptian multiplication is also closely related to binary numbers. In this method, multiplying one number by a second is performed by a sequence of steps in which a value (initially the first of the two numbers) is either doubled or has the first number added back into it; the order in which these steps are to be performed is given by the binary representation of the second number. This method can be seen in use, for instance, in the Rhind Mathematical Papyrus , which dates to around 1650 BC. [2]

If components in binary star systems are close enough they can gravitationally distort their mutual outer stellar atmospheres. In some cases, these close binary systems can exchange mass, which may bring their evolution to stages that single stars cannot attain. Examples of binaries are Sirius , and Cygnus X-1 (Cygnus X-1 being a well-known black hole ). Binary stars are also common as the nuclei of many planetary nebulae , and are the progenitors of both novae and type Ia supernovae .

If components in binary star systems are close enough they can gravitationally distort their mutual outer stellar atmospheres. In some cases, these close binary systems can exchange mass, which may bring their evolution to stages that single stars cannot attain. Examples of binaries are Sirius , and Cygnus X-1 (Cygnus X-1 being a well-known black hole ). Binary stars are also common as the nuclei of many planetary nebula e, and are the progenitors of both nova e and type Ia supernova e.

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Binary works in a similar way. Each column represents a value, and when you fill one column, you move to the next column.

0000 = 0
0001 = 1
0010 = 2
0011 = 3
0100 = 4
0101 = 5
0110 = 6
0111 = 7
1000 = 8
1001 = 9
1010 = 10
1011 = 11
1100 = 12
1101 = 13
1110 = 14
1111 = 15

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XKCD is a webcomic of romance, sarcasm, math, and language created by Randall Munroe. Randall is famous for getting inside people's heads, but unless you're in his, there will always be times when you just don't get it. And for those times, there's xkcd Explained.

The method used for ancient Egyptian multiplication is also closely related to binary numbers. In this method, multiplying one number by a second is performed by a sequence of steps in which a value (initially the first of the two numbers) is either doubled or has the first number added back into it; the order in which these steps are to be performed is given by the binary representation of the second number. This method can be seen in use, for instance, in the Rhind Mathematical Papyrus , which dates to around 1650 BC. [3]

From there I went into a discussion of numbers vs numerals. I explained that “number” is an abstract concept — I told her to think of a pile of three hundred and twenty-one rocks — and that the numeral 321 is only one way to express it. I also talked about Roman numerals and tally marks as other ways to represent numbers.

This method leverages the fact that binary numbers only have a '1' or '0' in each digit which allows for quick conversions to base 10.

By Sam Killermann on November 7, 2011 in Gender / Start Here tagged Featured Gender Graphic identity LGBT research Social Justice Statistics . Updated 12/26/2016