## binary - Wiktionary

(Note: Both the National Council of Teachers of Mathematics content standards and Common Core State Mathematics Standards emphasize counting and number systems, but not binary number operations explicitly.)

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* 0* + * 0* = * 0*

* 1* + * 0* = * 1*

* 1* + * 1* = * 10* (2)

* 1* + * 1* + * 1* = * 11* (3)

* *
Williams %R - Williams Percent Range
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It was introduced in Episode IV * A New Hope* when Princess Leia Organa gives R2-D2 the Death Star plans , but its most prominent inclusion was in the scene where Luke Skywalker gazes out to the twin suns of Tatooine . Later in the film, the theme plays as Luke comes upon his burning homestead and when a TIE fighter chases him during the battle over the Death Star , It once again starts near the end of this battle, when Obi-Wan Kenobi starts talking to Luke. Lastly in * A New Hope* , the theme plays twice during the victory celebration scene.

From Late Latin * bīnārius * ( “ consisting of two ” ) , from Latin * bīnī * ( “ two-by-two, pair ” ) .

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 .

Binary numbers look strange when they are written out directly. This is because the digits' weight increases by powers of 2, rather than by powers of 10. In a digital numeral, the digit furthest to the right is the "ones" digit; the next digit to the left is the "twos" digit; next comes the "fours" digit, then the "eights" digit, then the "16s" digit, then the "32s" digit, and so on. The decimal equivalent of a binary number can be found by summing all the digits. For example, the binary 10101 is equivalent to the decimal 1 + 4 + 16 = 21: