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A Pokémon's '''personality value''' is an {{wp|Signedness|unsigned}} {{wp|32-bit}} {{wp|Integer (computer science)|integer}} that is created when the Pokémon is first encountered; it is set as soon as the Pokémon appears in the wild, the Pokémon's egg is received from the {{pkmn|daycare}} man or another [[Non-player character|NPC]], or the Pokémon itself is received from an NPC. As an unsigned 32-bit integer, its value can be anywhere between 0 and 4,294,967,295 inclusive, represented as a string of thirty-two 0's and thirty-two 1's in binary, respectively. This value was introduced with the [[Pokémon data structure in the GBA|Pokémon data structure]] overhaul that occurred at the start of [[Generation III]], and is generated using the games' [[Pseudo-random number generation in Pokémon|pseudorandom number generator]].

For each operation, the portion of the 32-bit value used will be indicated at the beginning of the section by highlighting, unless the full value is used. The integer's full value will be known as ''p'', other values will be declared as ''p<sub>x</sub>'', ''p<sub>y</sub>'', and so on. Much of this article will be discussing values in binary.

==Gender==
<code>00000000 00000000 00000000 <span style="background:#FF9999">00000000</span></code>

A Pokémon's [[gender]] is determined by the lowest eight digits (a byte) of ''p'' in binary form; essentially, <code>''p'' [[wp:modulo operation|%]] 256</code>. This value will, from here on out, be known as ''p<sub>gender</sub>''.

In a Pokémon species's [[Pokémon base stats data structure in the GBA|base stat structure]], there is a byte called the gender threshold with a value between <code>00000000</code> and <code>11111111</code>. For genderless Pokémon such as {{p|Magnemite}}, the value of this byte is <code>11111111</code>.  For female only Pokémon such as {{p|Nidoran♀}}, the value of this byte is <code>11111110</code>.  For male only Pokémon such as {{p|Nidoran♂}}, the value of this byte is <code>00000000</code>. Pokémon with ''both'' genders occupy the rest of the spectrum.  For these Pokémon, if the value of ''p<sub>gender</sub>'' is <b>equal to or greater than</b> that of the base stat value, the Pokémon is male, otherwise it is female.


{| border=1 align="left" style="background: #fff; border:1px solid #000; border-collapse:collapse;"
|- style="background: #C0C0FF;"
! colspan="2" | Base stat value
! colspan="2" | Gender ratio
|- style="background: #C0C0FF;"
! Binary
! Decimal
! Male
! Female
|- align="center"
| <code>11111111</code>
| 255
| colspan="2" | Genderless
|- align="center"
| <code>11111110</code>
| 254
| 0%
| 100%
|- align="center"
| <code>11011111</code>
| 223
| 12.5%
| 87.5%
|- align="center"
| <code>10111111</code>
| 191
| 25%
| 75%
|- align="center"
| <code>01111111</code>
| 127
| 50%
| 50%
|- align="center"
| <code>00111111</code>
| 63
| 75%
| 25%
|- align="center"
| <code>00011111</code>
| 31
| 87.5%
| 12.5%
|- align="center"
| <code>00000000</code>
| 0
| 100%
| 0%
|}
<br clear="all">

==Ability==
If ''p'' is even, that Pokémon has the first [[ability]] for its species. If it's odd, it has the second. If a species has only one ability while ''p'' is odd, it gets the only ability it can. Pokémon transferred from [[Generation III]] to [[Generation IV]] or [[Generation V]] that can get one of the [[Generation IV#New abilities for old Pokémon|new abilities]] will retain the ability they had in Generation III; however, if they are evolved and their personality value is odd, they will get the new ability upon evolution. For example, a {{p|Porygon}} that has the ability Trace is brought to a Generation IV game. If it then evolves into {{p|Porygon2}}, it may keep Trace (if ''p'' is even), or it may switch to the ability {{a|Download}} (if ''p'' is odd). The reason this happens is because although the ability is initially determined by the personality value, the ability is stored as a separate value in the [[Pokémon data structure in Generation IV|Pokémon data]], and alongside the IVs in Generation III. When the Pokémon evolves in Generation IV, the personality value is rechecked, and a new ability assigned.

Note that a separate bit governs whether a Pokémon has their normal abilities or hidden abilities in [[Generation V]]; the personality value of a Pokémon is always set to have its first ability in this case, so as to allow the inclusion of a second hidden ability in a future generation.

==Nature==
A Pokémon's [[nature]] is determined by <code>''p'' % 25</code>.

The number acquired as the remainder corresponds to the personality as follows:

{| border=1 align="left" style="background: #fff; border:1px solid #000; border-collapse:collapse;"
|- style="background: #C0C0FF;"
! ''p'' % 25
! Nature
|-
|0
|Hardy
|-
|1
|Lonely
|-
|2
|Brave
|-
|3
|Adamant
|-
|4
|Naughty
|-
|5
|Bold
|-
|6
|Docile
|-
|7
|Relaxed
|-
|8
|Impish
|-
|9
|Lax
|-
|10
|Timid
|-
|11
|Hasty
|-
|12
|Serious
|-
|13
|Jolly
|-
|14
|Naive
|-
|15
|Modest
|-
|16
|Mild
|-
|17
|Quiet
|-
|18
|Bashful
|-
|19
|Rash
|-
|20
|Calm
|-
|21
|Gentle
|-
|22
|Sassy
|-
|23
|Careful
|-
|24
|Quirky
|}
<br clear="all">

==Shininess==
<code><span style="background:#FF9999">00000000 00000000</span> <span style="background:#9999FF">00000000 00000000</span></code>
:The <span style="background:#FF9999">red value</span> will be represented as ''p<sub>1</sub>'', while the <span style="background:#9999FF">blue value</span> will be represented as ''p<sub>2</sub>''.

Whether a Pokémon is {{shiny}} or not depends on the values of the [[Trainer ID number]], [[secret ID number]], and personality value. There is an [[Shiny Pokémon#Generations III and IV|8 in 65536 chance]] (0.012207% or 2<sup>-13</sup>) of a Pokémon being shiny (which simplifies to 1/8192).

Variables ''E'' and ''F'' are declared to hold the values that result.

A bitwise {{wp|exclusive or}} (''xor'') operation (such as ''a'' xor ''b'' = ''c'') is equivalent to saying "If each bit of ''a'' ≠ ''b'', ''c'' is true." In other words, 11010111 xor 01101010 = 10111101. Each xor in the operation is a bitwise xor.

''E'' = ''ID<sub>Trainer</sub>'' xor ''ID<sub>Secret</sub>''

''F'' = ''p<sub>1</sub>'' xor ''p<sub>2</sub>''

''E'' xor ''F'' < 8 , then ''Shiny''

===Example===
As an example, let's take a Trainer whose Trainer ID is 24294 and whose Secret ID is 38834.

''ID<sub>Trainer</sub>'' = 24294 = 0101111011100110 in binary.

''ID<sub>Secret</sub>'' = 38834 = 1001011110110010 in binary.

This Trainer encounters a Pokémon whose personality value is 2814471828.

''p'' = 2814471828 = 1010011111000001 0110111010010100 in binary.

''p1'' = 1010011111000001

''p2'' = 0110111010010100


The ''E'' value is 0101111011100110 xor 1001011110110010

''E'' = 1100100101010100

The ''F'' value is 1010011111000001 xor 0110111010010100

''F'' = 1100100101010101


''E'' xor ''F'' = 0000000000000001, which is less than eight.  Therefore, this Pokémon is shiny.

==Spinda's spots==
<code><span style="background:#FF9999">00000000</span> <span style="background:#9999FF">00000000</span> <span style="background:#99FF99">00000000</span> <span style="background:#FFFF99">00000000</span></code>

{{p|Spinda}} has four spots: two on its face, and one on each of its ears. Each of the four bytes represents the coordinates of the spot on Spinda's face or ears. The first four digits of each byte represents the x-coordinate of the top left of the spot when translated into decimal notation, while the last four represent the y-coordinate of the top left of the spot when translated into decimal. There are [[Spinda (Pokémon)#Trivia|4,294,967,296 different]] spot variations.

==Unown's letter (from Gen. III)==
<code>000000<span style="background:#FF9999">00</span> 000000<span style="background:#9999FF">00</span> 000000<span style="background:#99FF99">00</span> 000000<span style="background:#FFFF99">00</span></code>

''p<sub>letter</sub>'' = <code><span style="background:#FF9999">00</span><span style="background:#9999FF">00</span><span style="background:#99FF99">00</span><span style="background:#FFFF99">00</span></code>

{{p|Unown}}'s letter (ever since [[Generation III]], for [[Generation II]] see [[individual values]]) is taken from the modulus of the combination of the least significant 2 bits of each byte in ''p''. With A representing 0, and each letter thereafter representing the following number value (? as 26 and ! as 27), the letter can be determined by:

<code>''u<sub>p</sub>'' = ''p<sub>letter</sub>'' % 28</code>

==Wurmple's evolution==
<code>00000000 00000000 <span style="background:#FF9999">00000000 00000000</span></code>

The value in red will be known as ''p<sub>w</sub>''; it is essentially <code>''p'' % 65536</code>.

{{p|Wurmple}}'s evolution does not depend on time of day, despite what many guides say. In fact, the evolution is determined by taking <code>''p<sub>w</sub>'' % 10</code>. If the remainder is less than 5, Wurmple will become a {{p|Silcoon}}, and if it is greater than or equal to 5, it will become a {{p|Cascoon}}.

==Performance changes==
The day-to-day [[performance]] of a Pokémon, for the purposes of the [[Pokéathlon]], depends on the personality value as well as the day of the month. It also depends on nature, which is also calculated based on personality value. The five least significant digits govern, from least significant to most significant, Power, Stamina, Skill, Jump, and Speed.

The change in performance in a particular attribute is calculated as the sum of the following factors:
*'''The Day of Month Modifier''': This modifier depends on the day of the month and one particular digit of the personality value (determined based on the attribute in question).  It is calculated as (((''Day'' + ''Attribute'' + 3) × (''Day'' - ''Attribute'' + 7) + ''Personality'') mod 10) × 2 - 9, where:
** ''Attribute'' is 0 for Power, 1 for Stamina, 2 for Skill, 3 for Jump, and 4 for Speed
** ''Personality'' is the relevant value of the particular digit
*'''The Nature Modifier''': This modifier depends on the nature of the Pokémon.  Each of the neutral natures raise one attribute by 10 points while lowering another by 10 points, while the other 20 natures each raise one attribute by 35 points while lowering another by 35 points, based on which [[stat]]s they normally raise and lower.
*'''The Aprijuice Modifier''': This modifier depends on the [[Aprijuice]] applied to the Pokémon.  The Pokémon receives 1.5× the flavor values in the attributes corresponding to the strongest and second-strongest flavors of the Aprijuice, an additional 10-point bonus in the strongest flavor of the Aprijuice, and a penalty to the attribute corresponding to the weakest flavor of the Aprijuice based on its mildness and the sum of the Aprijuice's two strongest flavors (see [[Apriblender]] for further details).

Note that the Day of Month modifier is at most -9 and at most +9 (and only takes on odd values therein).  Also as a result, the Day of Month modifier cycles every 10 days ('''exception''': for Power and Speed, the modifiers in effect for the first day of each month are different from those of Day 11, Day 21, and Day 31, though the latter three have the same modifiers).

Also, since nature is also determined by the last two digits of the personality value, the nature of a Pokémon will constrain the Day of Month modifier in Power (and to a lesser extent, Stamina) for a Pokémon.  For example, a Hardy Pokémon (last digit 0 or 5) will never get a +9 or a +7 from a Day of Month modifier in Power; if the last digit is 5 it furthermore entails that its best performance will be on the first day of each month, barring Aprijuice factors (as it has its sole +5 boost on the first day on each month).

{| {{bluetable2}}
! Attribute !! Attribute Modifier !! Personality Digit !! Neutral Nature +10 !! Neutral Nature -10 !! Other Nature Stat
|-
| Power || 0 || Ones || Hardy || Bashful || Attack
|-
| Stamina || 1 || Tens || Docile || Quirky || Defense
|-
| Skill || 2 || Hundreds || Quirky || Serious || Sp. Def
|-
| Jump || 3 || Thousands || Bashful || Docile || Sp. Atk
|-
| Speed || 4 || Ten-thousands || Serious || Hardy || Speed
|}

The calculated value is then translated into a difference in stars as follows:
{| {{bluetable2}}
! Stars
| -4 || -3 || -2 || -1 || 0 || 1 || 2 || 3 || 4
|-
! Score
| < -120 || -119 - -80 || -79 - -40 || -39 - -15 || -14 - 14 || 15 - 39 || 40 - 79 || 80 - 119 || > 120
|}

Note that performance changes may not drop below the Pokémon's minimum performance rating, nor may it exceeds the Pokémon's maximum performance rating. Thus, for example, a {{p|Cradily}} may never improve or have its Speed rating degraded as its Speed attribute is fixed.

<!--Any more personality value things?-->
{{Project Games notice}}

[[Category:Game mechanics]]

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[[ja:性格値]]