View source for Individual values

{{redirect|IV|fourth generation of Pokémon releases|Generation IV}}
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'''Individual values''', also known as '''determinant values''' (both often shortened, respectively, to '''IVs''' and '''DVs'''), are the Pokémon analogue to {{wp|genes}}. They are instrumental in determining the differing [[stats]] of Pokémon, most specifically of the same species.

==Overview==
There are six IVs, one for each of the basic stats: HP, Attack, Defense, Speed, Special Attack and Special Defense. In [[Generation I|Generations I]] and [[Generation II|II]], only four IVs were stored: Special Attack and Special Defense shared an IV, and the HP IV was calculated from the Attack, Defense, Speed and Special IVs.
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WE NEED texvc FOR THIS. MEMO: BUG STEVE.
<math>S = \floor{\floor{2B + I + \floor{E \over 4}} \cdot {L \over 100}} + 5</math>
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Source: Whitecat's dexes (http://pokedex.kary.ca/)
RBYGSC: The 15 is the DV and I guess 65535 is effort values.
** MAX STATS **

To convert the base stats listed in this document to the maximum, use these
formulae and round down to the nearest whole number:

Max HP = (Level x (Base + 15 + (65535 / 2048) + 50) / 50) + 10
Others = (Level x (Base + 15 + (65535 / 2048)) / 50) + 5

At level 100, one base point is equivalent to two max points.  HP starts from
203, while the other stats start from 98.  This means that a base of 100 will
give a maximum of 403 HP (100 x 2 + 203) and 298 Attack/Defense/Speed/Specials
(100 x 2 + 98).  All of Mew's and Celebi's stats are at this level.



RSFRLGE: The 31 is the DV's value. 255 is effort values. Note the 1 point increase in stats.
** MAX STATS **

To convert the base stats listed in this document to the maximum, use these
formulae, rounding down to the nearest whole number after each step:

Max HP = ((Level x ((Base x 2) + 31 + (255 / 4))) / 100) + 10 + Level
Others = (((Level x ((Base x 2) + 31 + (255 / 4))) / 100) + 5) * Personality

At level 100, one base point is equivalent to two max points.  HP starts from
204, while the other stats start from 99.  This means that a base of 100 will
give a maximum of 404 HP (100 x 2 + 204) and 299 Attack/Defense/Speed/Specials
(100 x 2 + 99).  All of Mew's, Celebi's, and Jirachi's stats are at this level.

Personality modifiers may increase or decrease the non-HP stats by 10% each.
-->

==Differences between generations==
===Generation I===
During Generation I games, IVs can be any number from 0 to 15 (binary: <code>0000</code>-<code>1111</code>) inclusive in each stat, determined randomly when a wild Pokémon is first encountered. Four IVs are stored: Attack, Defense, Speed and Special. The HP IV is calculated by taking the last bit from each of the other IVs. Or, to look at it another way:

* If a Pokémon has an odd number for its Attack IV, 8 is added to the HP IV.
* If a Pokémon has an odd number for its Defense IV, 4 is added to the HP IV.
* If a Pokémon has an odd number for its Speed IV, 2 is added to the HP IV.
* If a Pokémon has an odd number for its Special IV, 1 is added to the HP IV.

IVs for all stats except HP can be determined by a player first by determining the maximum and minimum possible stats, then finding how far off the stat on a specific Pokémon happens to be (at level 100). For every two points off from the maximum the stat is, the IV is one lower, meaning one Pokémon with an IV of 0 and another Pokémon of the same species with an IV of 15 in the same stat will have a difference in that stat of 30 points. For example, {{p|Dragonite}} has a maximum Attack  stat of 366 at level 100, and a player has a level 100 Dragonite with 360 Attack. Since the stat is 6 off, the Dragonite's Attack IV is 12.

===Generation II===
In [[Generation II]], IVs worked the same as [[Generation I]] for backwards compatibility purposes. In addition, IVs were used to calculate a Pokémon's [[gender]] (if it had one), the type and power of {{m|Hidden Power}}, and whether or not it was a [[shiny Pokémon]]. Although Generation II divided the Special stat into Special Attack and Special Defense, both continued to share an IV.

====Gender====
Gender is determined by the Pokémon's Attack IV, with the higher IVs making for a male Pokémon, and lower ones making for a female. A female {{p|Typhlosion}}, whose species has a [[gender ratio]] of 7♂:1♀, can have only 0 or 1 as her Attack IV, while a female {{p|Golduck}}, whose species has a gender ratio of 1♂:1♀, can have an Attack IV of any value from 0-7.

====Shiny====
A Pokémon will be {{shiny2}} if the second least significant bit of its Attack IV in binary is 1, and its Defense, Speed and Special IVs are equal to 10 (binary 1010). In other words, a shiny Pokémon will have these stats:

* Attack: 2, 3, 6, 7, 10, 11, 14, or 15
* Defense: 10
* Speed: 10
* Special: 10
* HP: 0 (if Attack even) or 8 (if Attack odd)

Because the HP IV is calculated from whether the other IVs are even or odd, it will always be 0 or 8 on a shiny Pokémon, depending whether the Attack IV is even or odd.

Due to this constricted set of IV values for a shiny Pokémon, any shiny Pokémon that knowns Hidden Power in Generation II will use it as a {{type2|Grass}} or {{type2|Dragon}} move.

===Generation III===
The IV system was completely overhauled in [[Generation III]], with IVs now ranging from 0-31 (binary: <code>00000</code>-<code>11111</code>). IVs are now stored individually for all six stats, instead of four. Shiny status and gender are no longer determined by IVs, and are instead calculated from a randomly-generated 32-bit integer called a [[personality value]]. {{m|Hidden Power}} remains IV-based.

The IV data for each Pokémon is stored as a packed bitfield, taking up one doubleword (32 bits) including one bit each to set if the Pokémon is an {{pkmn|egg}} or is nicknamed, respectively.

{| border=1 align="left" style="background: #fff; border:1px solid #000; border-collapse:collapse;"
|- style="background: #C0C0FF;"
! colspan="10" | Relative bit weights
|-
| rowspan="2" | {{wp|Most significant bit|MSB}}
! IsEgg
! IsNicknamed
! style="background:#{{sp def color}}" | Sp. Def
! style="background:#{{sp atk color}}" | Sp. Atk
! style="background:#{{speed color}}" | Speed
! style="background:#{{defense color}}" | Defense
! style="background:#{{attack color}}" | Attack
! style="background:#{{hp color}}" | HP
| rowspan="2" | {{wp|Least significant bit|LSB}}
|- align="center"
|1
|1
|11111
|11111
|11111
|11111
|11111
|11111
|}
<br clear="all">

In {{game|Emerald}}, there is an [[Legendary Top Pokémon Breeder|elderly man]] in the house north of the [[Pokémon Center]] in the {{ho|Battle Frontier}}. He will examine a Pokémon in the player's party and give information about the Pokémon's IVs, revealing which of its IVs is the highest.

===Generation IV===
As Generation II remained similar to Generation I, Generation IV remains much the same as Generation III. Still, two bits in the doublewords switched their positions:
{| border=1 align="left" style="background: #fff; border:1px solid #000; border-collapse:collapse;"
|- style="background: #C0C0FF;"
! colspan="10" | Relative bit weights
|-
| rowspan="2" | {{wp|Most significant bit|MSB}}
! IsNicknamed
! IsEgg
! style="background:#{{sp def color}}" | Sp. Def
! style="background:#{{sp atk color}}" | Sp. Atk
! style="background:#{{speed color}}" | Speed
! style="background:#{{defense color}}" | Defense
! style="background:#{{attack color}}" | Attack
! style="background:#{{hp color}}" | HP
| rowspan="2" | {{wp|Least significant bit|LSB}}
|- align="center"
|1
|1
|11111
|11111
|11111
|11111
|11111
|11111
|}
<br clear="all">
A [[Characteristic|small blurb]] about a Pokémon's Personality has been added to the Trainer Memo. These are actually indicative of the Pokémon's IVs; a Pokémon that is "Proud of its Power" has its highest IV in Attack, a Pokémon that "Likes to run" has its highest IV in Speed, and so on.

==See also==
*[[EVs]]
*Pokémon data structure:
**[[Pokémon data structure in the GB|in GB games]]
**[[Pokémon data structure in the GBC|in GBC games]]
**[[Pokémon data structure in the GBA|in GBA games]]
**[[Pokémon data structure in the DS|in DS games]]

===External links===
* [http://veekun.com/dex/calculators/iv IV calculator at veekun.com]

[[Category:Game mechanics]]

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[[fr:IV]]
[[ja:個体値]]