Changes

Binary system (view source)

Revision as of 17:06, July 14, 2007

413 bytes added , 17:06, July 14, 2007

format table

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To increment a binary number, follow this rule:

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1. Current digit is the end digit

+

1. Current digit is the end digit

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2. Change the current digit

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2. Change the current digit

−

3. If current digit = 1

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3. If current digit = 1

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4. Then:

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4. Then:

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4a.Shift current digits to away from the end digit

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4a.Shift current digits to away from the end digit

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4b.Goto step 2

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4b.Goto step 2

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5: Else:

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5: Else:

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5a:You're done.

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5a:You're done.

A more concrete example can be found here:

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The first 16 binary digits:

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:0:0

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{|style="text-align:center"

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:1:1

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!Decimal!!Colspan=2 |Binary

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:10:2

+

|-

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:11:3

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|width=50px|0

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:100:4

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|width=50px align="right"|0

−

:101:5

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|width=10px|

−

:110:6

+

|-

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:111:7

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|1

−

:1000:8

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|align="right"|1

−

:1001:9

+

|-

−

:1010~~:10~~

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|2

−

:1011~~:11~~

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|align="right"|10

−

:1100~~:12~~

+

|-

−

:1101~~:13~~

+

|3

−

:1110~~:14~~

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|align="right"|11

−

:1111~~:15~~

+

|-

−

:10000~~:16~~

+

|4

+

|align="right"|100

+

|-

+

|5

+

|align="right"|101

+

|-

+

|6

+

|align="right"|110

+

|-

+

|7

+

|align="right"|111

+

|-

+

|8

+

|align="right"|1000

+

|-

+

|9

+

|align="right"|1001

+

|-

+

|10

+

|align="right"|1010

+

|-

+

|11

+

|align="right"|1011

+

|-

+

|12

+

|align="right"|1100

+

|-

+

|13

+

|align="right"|1101

+

|-

+

|14

+

|align="right"|1110

+

|-

+

|15

+

|align="right"|1111

+

|-

+

|16

+

|align="right"|10000

+

|}

[[Category:Mathematics]]

BrianCo

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