Binary system - Revision history

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2021-06-01T21:45:07Z

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Eac: Added Boolean operations section

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2020-08-13T17:26:23Z

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QWERTYL: Added A list of opperations and how they work; Also added headings to make the article more readable

2020-08-12T21:01:30Z

Added A list of opperations and how they work; Also added headings to make the article more readable

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DavidB4-bot: /* See also */clean up & uniformity

2016-07-13T03:16:40Z

Karajou: Reverted edits by KirkJ (talk) to last revision by Aschlafly

2011-09-21T02:16:35Z

Reverted edits by KirkJ (talk) to last revision by Aschlafly

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KirkJ at 02:13, September 21, 2011

2011-09-21T02:13:37Z

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Aschlafly: Reverted edits by Kevinxu (talk) to last revision by Whizkid

2011-09-17T20:00:50Z

Reverted edits by Kevinxu (talk) to last revision by Whizkid

← Older revision		Revision as of 21:45, June 1, 2021
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	*[http://woodgears.ca/marbleadd/index.html= How to make binary numbers]		*[http://woodgears.ca/marbleadd/index.html= How to make binary numbers]

		+	{{nobots}}
	[[Category:Mathematics]]		[[Category:Mathematics]]

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 |align="right"|10000
 |}
 ==See also==

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     1110111000
-==Subtraction==
+===Subtraction===
 Subtraction in binary can be carried out similar to decimal notation, however, there is a more efficient way, which is usually used in computers. Negative numbers a written in "Two's complement notation". In this notation, You "flip" the digits in the binary number and add one. For example,
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 Note that this method requires the amount of digits to be fixed.
-==Multiplication==
+===Multiplication===
 Multiplication in binary is far more simple than multiplication in decimal. To multiply two binary numbers X * Y, use the following algorithm:
 #set a to 0

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 A number written in the system can be denoted by following it with a subscript 2, i.e. <sub>2</sub>. Each digit represents the number of a power of 2 in the complete number, similarly to in the [[decimal system]], where each digit represents the number of a power of 10. The power is defined by the number of digits in the number from right to left through the digit, minus 1, e.g. 100<sub>2</sub>, where the digit 1 is the third digit from the right, and thus represents 2<sup>2</sup>, or 4. While it is generally impractical for [[human]] use, it is the mainstay of modern [[computing]].  A binary system is also used in [[electronics]], which commonly uses '''0''' to mean "no voltage is present" '''1''' to mean "a voltage is present".  Binary notation is used in circumstances in which a thing is in one of two possible conditions and no other condition is possible; the switch is on or the switch is off, the page has data on it or the page has no data.
 To increment a binary number, follow this rule:
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 ###You're done.
 The first 16 binary digits:
 {|style="text-align:center"

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-The '''binary system''' is a way of representing numbers in base 2, i.e. using only the digits 0 and 1. The term 'Binary' means ''composed of two parts'' and comes from the Latin, originally meaning "two by two".
+The '''binary system''' is a way of representing numbers in base 2, i.e. using only the digits 0 and 1. The term 'Binary' means ''composed of two parts'' and comes from the Latin, originally meaning "two by two".  Binary, or base 2, is one of many possible [[Number Systems]].
-A number written in the system can be denoted by following it with a subscipt 2, i.e. <sub>2</sub>. Each digit represents the number of a power of 2 in the complete number, similarly to in the [[decimal system]], where each digit represents the number of a power of 10. The power is defined by the number of digits in the number from right to left through the digit, minus 1, e.g. 100<sub>2</sub>, where the digit 1 is the third digit from the right, and thus represents 2<sup>2</sup>, or 4. While it is generally impractical for [[human]] use, it is the mainstay of modern [[computing]].  A binary system is also used in [[electronics]], which commonly uses '''0''' to mean "no voltage is present" '''1''' to mean "a voltage is present".  Binary notation is used in circumstances in which a thing is in one of two possible conditions and no other condition is possible; the switch is on or the switch is off, the page has data on it or the page has no data.
+A number written in the system can be denoted by following it with a subscript 2, i.e. <sub>2</sub>. Each digit represents the number of a power of 2 in the complete number, similarly to in the [[decimal system]], where each digit represents the number of a power of 10. The power is defined by the number of digits in the number from right to left through the digit, minus 1, e.g. 100<sub>2</sub>, where the digit 1 is the third digit from the right, and thus represents 2<sup>2</sup>, or 4. While it is generally impractical for [[human]] use, it is the mainstay of modern [[computing]].  A binary system is also used in [[electronics]], which commonly uses '''0''' to mean "no voltage is present" '''1''' to mean "a voltage is present".  Binary notation is used in circumstances in which a thing is in one of two possible conditions and no other condition is possible; the switch is on or the switch is off, the page has data on it or the page has no data.
 To increment a binary number, follow this rule:

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 |}
-==See Also==
+==See also==
 * [[Binary Code]]
 * [[Binary Function]]