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== Numbers == {{Main|D'ni numerals}} The D'ni counted in '''base-25''', i.e. they have 25 symbols per digit. But the system is actually simpler, because there are 5 basic shapes for digits from 0 to 5, then each of these is rotated on its side to represent a multiple of 5: {| class="wikitable" | style="text-align: center;" | <dni>0</dni> | style="text-align: center;" | <dni>1</dni> | style="text-align: center;" | <dni>2</dni> | style="text-align: center;" | <dni>3</dni> | style="text-align: center;" | <dni>4</dni> |- | style="text-align: center;" | 0 | style="text-align: center;" | 1 | style="text-align: center;" | 2 | style="text-align: center;" | 3 | style="text-align: center;" | 4 |- | style="text-align: center;" | '''roon''' | style="text-align: center;" | '''fah''' | style="text-align: center;" | '''bree''' | style="text-align: center;" | '''sen''' | style="text-align: center;" | '''tor''' |- | | style="text-align: center;" | <dni>5</dni> | style="text-align: center;" | <dni>)</dni> | style="text-align: center;" | <dni>%</dni> | style="text-align: center;" | <dni>[</dni> |- | | style="text-align: center;" | 5 | style="text-align: center;" | 10 | style="text-align: center;" | 15 | style="text-align: center;" | 20 |- | | style="text-align: center;" | '''vaht''' | style="text-align: center;" | '''nayvoo''' | style="text-align: center;" | '''heebor''' | style="text-align: center;" | '''rish''' |} When counting objects, numbers follow the noun they refer to, e.g. {{dni-text|kor|-tee||sen}} "three books". The missing symbols are simply an overlap of two parts, e.g. 17 is 15 + 2. The names of the digits are a shortened form of the base ('''vaht''', '''nayvoo''', '''heebor''', '''rish''' → '''vah''', '''nay''', '''hee''', '''ri'') plus '''gah''' "and", plus the added number ('''fah''', '''bree''', '''sen''', '''tor'''). {| class="wikitable" ! ! fah ! bree ! sen ! tor |- | <dni>{{huge|0 }}</dni> (0 '''roon''') | <dni>{{huge|1 }}</dni> 1 | <dni>{{huge|2 }}</dni> 2 | <dni>{{huge|3 }}</dni> 3 | <dni>{{huge|4 }}</dni> 4 |- | <dni>{{huge|5 }}</dni> 5 '''vah–gah''' | <dni>{{huge|6 }}</dni> 6 | <dni>{{huge|7 }}</dni> 7 | <dni>{{huge|8 }}</dni> 8 | <dni>{{huge|9 }}</dni> 9 |- | <dni>{{huge|) }}</dni> 10 '''nay–gah''' | <dni>{{huge|! }}</dni> 11 | <dni>{{huge|@ }}</dni> 12 | <dni>{{huge|# }}</dni> 13 | <dni>{{huge|$ }}</dni> 14 |- | <dni>{{huge|% }}</dni> 15 '''hee–gah''' | <dni>{{huge|^ }}</dni> 16 | <dni>{{huge|& }}</dni> 17 | <dni>{{huge|* }}</dni> 18 | <dni>{{huge|( }}</dni> 19 |- | <dni>{{huge|[ }}</dni> 20 '''ri–gah''' | <dni>{{huge|] }}</dni> 21 | <dni>{{huge|\ }}</dni> 22 | <dni>{{huge|{ }}</dni> 23 | <dni>{{huge|} }}</dni> 24 |} Example: {{dni-text|vahgahbree}}, {{dni-text|naygahtor}}, {{dni-text|rigahsen}} "seven, fourteen, twentythree" In our base-10 system, each digit on the left is a power of ten, 10 times greater than the one in the right, e.g. the number 12,345 can be broken down as: : 1×10<sup>4</sup> + 2×10<sup>3</sup> + 3×10<sup>2</sup> + 4×10 + 5×1 = 12,345 The D'ni numbering system works in the same way, except the base is not 10 but 25, so 12,345 in D'ni is a far bigger number: : 1×25<sup>4</sup> + 2×25<sup>3</sup> + 3×25<sup>2</sup> + 4×25 + 5×1 : = 1×390,625 + 2×15,625 + 3×625 + 4×25 + 5×1 : = 423,855 We know the names of the first five powers of 25: {| class="wikitable" style="text-align: center;" | 25<sup>5</sup> | 25<sup>4</sup> | 25<sup>3</sup> | 25<sup>2</sup> | <dni>|</dni> |- | 9,765,625 | 390,625 | 15,625 | 625 | 25 |- | <b>fah</b>–<b>blo</b> | <b>fah</b>–<b>mel</b> | <b>fah</b>–<b>lahn</b> | <b>fah</b>–<b>rah</b> | <b>fah</b>–<b>see</b> |} Each digit is written as the unit plus a suffix that denote the power, e.g.: :4|5 is {{dni-text|tor}}-'''{{dni-text|-see}}''' {{dni-text|vaht}} :12|21 is {{dni-text|naygahbree}}-'''{{dni-text|-see}}''' {{dni-text|rigahfah}} When the value is 0, that digit is simply skipped. Here is an example of a big number ( <dni>#^05!4</dni> = 133,206,529), broken down in its parts: {| class="wikitable" style="text-align: right;" | <dni>#^05!4</dni> | DG05B4 |- | naygahsen''blo'' | 13·25<sup>5</sup> |- | heegahfah''mel'' | 16·25<sup>4</sup> |- | | 0·25<sup>3</sup> |- | vaht''rah'' | 5·25<sup>2</sup> |- | naygahfah''see'' | 11·25 |- | tor | 4 |} An interactive number converter is available [https://www.guildofarchivists.org/utilities/numberconverter/ here].
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