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Main article: Subconscious Power (move)

In the Pokémon games, Hidden Power is a Normal-type move when the type is displayed, such as in battle and on status screens. However, the actual type of Hidden Power is adamant past the Pokémon's individual values, and through calculation, tin can be set up as one of other natural types. In Generations Two to V, Hidden Power's base power is also adamant by the Pokémon's private values; in Generation II, it ranges from 31 to 70, while in Generation Three to V, it ranges from 30 to 70. From Generation Vi onward, Hidden Power's base power is ever lx.

The type of Hidden Power can be checked in sure locations in the games by talking to certain NPCs. These NPCs will refuse to tell the role player the Hidden Power blazon of a Pokémon unless it can learn the move via level up or TM (even if it knows Hidden Power at the fourth dimension).

• In Pokémon Platinum, in Veilstone Game Corner'south prize business firm
• In Pokémon HeartGold and SoulSilver, in the Celadon Game Corner
• In Pokémon Blackness and White, in Mistralton City's Pokémon Eye
• In Pokémon Black 2 and White 2, the PWT
• In Pokémon Ten and Y, in the house to the right of the Boutique in Anistar City
• In Pokémon Omega Ruby and Alpha Sapphire, in the second northern house from the due west in Fortree City
• In Pokémon Sun, Moon, Ultra Sun and Ultra Moon in the Pokémon Plant nursery on Paniola Ranch

There is no in-game mode to determine Hidden Power's power directly in games where it is not fixed.

Generation 2

Blazon

Consider an case Pokémon, like Pikachu with this set of IVs:

	Striking Points	Assault	Defense	Speed	Special
	14	15	fifteen	15	fourteen

The type is determined by taking the two to the lowest degree meaning bits of the Set on and Defense IVs, then concatenating these 2 values in that order.

Mathematically, this is the equivalent of ${\displaystyle HP_{type}=4\times a{\bmod {4}}+b{\bmod {four}}}$ , where a represents the Assault Iv and b represents the Defense Iv.

The resulting number will correspond to a blazon every bit marked below.

Number	Type
0	Fighting
one	Flying
two	Toxicant
3	Ground
iv	Stone
5	Bug
6	Ghost
7	Steel
8	Fire
ix	H2o
10	Grass
xi	Electric
12	Psychic
13	Ice
14	Dragon
15	Dark

In our example, we get:

${\displaystyle {\begin{aligned}HP_{type}&=iv\times 15{\bmod {4}}+fifteen{\bmod {four}}\\&=4\times 3+three\\&=12+three\\&=15\finish{aligned}}}$

Since this value is equal to 15, per the table above, this means that our Pikachu has a Dark-type Hidden Power.

Power

The power of the Hidden Power is calculated using the following formula:

$${\displaystyle HP_{ability}={\bigg \lfloor }{\frac {5\times (5+2w+4x+8y)+Z}{2}}+31{\bigg \rfloor }}$$

• The variables 5 through y (the "damage bits") represent the most pregnant bit of each Four. If a variable is less than eight, this fleck is 0; otherwise, it is ane.

• 5 depends on the Special IV.
• westward depends on the Speed IV.
• x depends on the Defense force IV.
• y depends on the Attack 4.

• Z is equal to the Special Four mod four (its balance when divided by 4).

Hidden Power'southward base of operations power is therefore a number ranging from 31 to seventy, inclusively.

In our instance, nosotros become:

	Hit Points	Attack	Defence	Speed	Special
	14 N/A	fifteen 1	xv 1	15 ane	14 1

${\displaystyle {\begin{aligned}HP_{power}&={\bigg \lfloor }{\frac {5\times (1+ii\cdot 1+four\cdot i+8\cdot 1)+2}{2}}{\bigg \rfloor }+31\\&={\bigg \lfloor }{\frac {5\times (1+2+iv+8)+2}{two}}{\bigg \rfloor }+31\\&={\bigg \lfloor }{\frac {five\times xv+2}{2}}{\bigg \rfloor }+31\\&={\bigg \lfloor }{\frac {75+ii}{2}}{\bigg \rfloor }+31\\&={\bigg \lfloor }{\frac {77}{2}}{\bigg \rfloor }+31\\&=\lfloor 38.five\rfloor +31\\&=38+31\\&=69\end{aligned}}}$

Which ways that our Pikachu'south Hidden Power's power is 69.

	Hit Points	Set on	Defense	Speed	Special
	xiv	fifteen	fifteen	xv	14

• Because Shininess is as well adamant by IVs, Shiny Pokémon can only accept a Grass-type or Dragon-type Hidden Power with a power of 49 or 69.
• Because gender is as well determined by the Attack IV, female person Pokémon of species with a 7 male person to one female ratio can but have a physical Hidden Power.

Generation Three onward

Type

Consider an example Pokémon, like Pikachu with this set of IVs:

	Striking Points	Attack	Defense	Speed	Sp.Assault	Sp.Defense
	30	31	31	31	thirty	31

Subconscious Ability'south type of a Pokémon with given IVs is represented by a number, calculated with this formula:

$${\displaystyle HP_{blazon}=\left\lfloor {\frac {(a+2b+4c+8d+16e+32f)\times v}{21}}\right\rfloor }$$

where a, b, c, d, e, f (the "type bits") are the least significant bit of their corresponding IVs. If a number is odd, its least pregnant bit is one; otherwise (if the number is even), it is 0.

• a depends on the HP Iv.
• b and c depend on the Attack and Defense IVs respectively.
• d depends on the Speed Iv.
• e and f depend on the Special Attack and Special Defense IVs respectively.

The sum within the formula may range from 0 (when all IVs are even) to 63 (when all IVs are odd), inclusive. This sum is equivalent to constructing the binary number (fedcba)_two.

The sum is then multiplied past fifteen and divided by 63. This ensures that the number representing the type ranges from 0 to 15, inclusive. The floor of this value is taken, significant that if the outcome is non an integer, information technology will be rounded downward to the nearest integer less than it.

The resulting number will represent to a type as marked beneath.

Number	Type
0	Fighting
i	Flying
2	Poisonous substance
3	Basis
four	Stone
5	Problems
6	Ghost
7	Steel
8	Fire
nine	H2o
x	Grass
11	Electric
12	Psychic
13	Ice
14	Dragon
15	Nighttime

In our example, nosotros get:

	Hit Points	Attack	Defense	Speed	Sp.Set on	Sp.Defence
	xxx 0	31 1	31 1	31 1	30 0	31 1

${\displaystyle {\begin{aligned}HP_{type}&=\left\lfloor {\frac {(1\cdot 0+2\cdot 1+4\cdot 1+8\cdot 1+16\cdot 0+32\cdot ane)\times fifteen}{63}}\right\rfloor \\&=\left\lfloor {\frac {(0+2+iv+8+0+32)\times 15}{63}}\right\rfloor \\&=\left\lfloor {\frac {46\times 15}{63}}\correct\rfloor \\&=\left\lfloor {\frac {690}{63}}\right\rfloor &{\bigg (}{\frac {690}{63}}\approx 10.952{\bigg )}\\&=x\end{aligned}}}$

Which ways that our Pikachu has a Grass-type Hidden Ability.

Impairment

Impairment of the Subconscious Power is calculated in a way very similar to that of its type, using the following formula:

$${\displaystyle HP_{power}=\left\lfloor {\frac {(u+2v+4w+8x+16y+32z)\times 40}{63}}\right\rfloor +30}$$

• The variables u through z (the "damage $.25") represent the 2nd to the lowest degree significant bit of each Four. If a variable has a remainder of 2 or 3 when divided by 4, this chip is i; otherwise, the bit is 0.

• u depends on the HP stat.
• v and w depend on the Set on and Defense stats respectively.
• x depends on the Speed stat.
• y and z depend on the Special Assault and Special Defense stats respectively.

Like before, the sum may range from 0 to 63, inclusively. The calculated number is and so multiplied by forty and divided by 63 to make sure that the fraction will non exceed 40. Then, the number is increased by thirty and rounded downwardly, making Hidden Power'due south ability a number ranging from 30 to 70, inclusively.

In our example, we get:

	Striking Points	Assail	Defense	Speed	Sp.Attack	Sp.Defence force
	xxx 1	31 1	31 ane	31 one	30 i	31 ane

${\displaystyle {\begin{aligned}HP_{power}&=\left\lfloor {\frac {(1\cdot 1+ii\cdot 1+iv\cdot ane+8\cdot 1+16\cdot one+32\cdot 1)\times xl}{63}}\right\rfloor +30\\&=\left\lfloor {\frac {(1+two+four+8+16+32)\times 40}{63}}\correct\rfloor +30\\&=\left\lfloor {\frac {63\times 40}{63}}\right\rfloor +30\\&=\left\lfloor {\frac {2520}{63}}\correct\rfloor +30\\&=\lfloor xl\rfloor +xxx\\&=40+thirty\\&=70\\\cease{aligned}}}$

Which means that our Pikachu's Subconscious Power's power is 70

	Hitting Points	Attack	Defence	Speed	Sp.Attack	Sp.Defense force
	30	31	31	31	thirty	31

Number of possible Hidden Powers

As there are six IVs, ranging from 0 to 31 (32 in full), the number of different possible Hidden Powers should be 32^vi=2³⁰, which is more than one billion possibilities. But allow u.s. consider ii Pokémon with one different IV:

	Hitting Points	Attack	Defense	Speed	Sp.Set on	Sp.Defense
	30	31	31	31	30	31

and

	Striking Points	Attack	Defense	Speed	Sp.Set on	Sp.Defense
	26	31	31	31	xxx	31

As we see, both 26 and xxx are divisible by 2 and give the residuum of 2 when divided by 4. Then, in both cases the algorithms will interpret the IVs of those Pokémon in the same fashion, returning Grass-type Hidden Power with 70 power. Information technology ways that for the mentioned algorithms an Four of 30 is treated in the same way similar IVs of 2,6,10,14,eighteen,22 and 26 (8 in total).

In fact, there are only four essentially different types of Four when computing Subconscious Ability:

1.	IV that gives a rest of 0 when divided past 4—has impairment scrap 0 and blazon flake 0:	0, four, 8, 12, xvi, xx, 24, 28
2.	IV that gives a rest of 1 when divided by 4—has damage bit 0 and type bit one:	one, 5, nine, xiii, 17, 21, 25, 29
iii.	IV that gives a residuum of two when divided by 4—has damage flake 1 and type bit 0:	ii, 6, 10, 14, eighteen, 22, 26, 30
iv.	4 that gives a remainder of 3 when divided by four—has damage bit i and type bit 1:	3, seven, 11, xv, 19, 23, 27, 31

In other words: simply four IVs that requite unlike remainders when divided by four would comprehend all possible Subconscious Power types and powers.

If and then, the number of possible Hidden Powers should be 4⁶ = 4096. This number, however is once more far too large, as the real number of possible variations of Subconscious power is simply 16*41=656, every bit Hidden Power exists in sixteen types and has 41 unlike powers. The pregnant difference between 656 and 4096 is explained past the fact that the floor function results in distinct values (e.g. x.952 and 10.476) beingness mapped to the aforementioned integer upshot (in this instance 10).

Percentage distribution of unlike variations of Subconscious Ability

Due to the fact that both Hidden Power's type and its ability are the products of rounding down, chances of getting a Pokémon with certain Subconscious Power are not equal, every bit one might accept thought, and are different for every Hidden Power's type and damage value.

As it was stated before, the number of theoretically unlike Hidden Powers is 4096, which is the issue of multiplying theoretical values of possible types (64) and powers (also 64). Information technology ways that every of 64 "types" comes into 64 "powers". After rounding down, however, the number of 64 "types" is reduced to xvi and the number of 64 "powers" to 41.

Percent distribution of Hidden Power's type Number Type Qty % 0 Fighting 320 7.8125% 1 Flight 256 6.25% two Toxicant 256 6.25% iii Ground 256 6.25% iv Stone 256 6.25% v Bug 320 7.8125% 6 Ghost 256 half dozen.25% 7 Steel 256 6.25% 8 Fire 256 half dozen.25% 9 H2o 256 half dozen.25% 10 Grass 320 7.8125% 11 Electrical 256 vi.25% 12 Psychic 256 6.25% 13 Ice 256 half dozen.25% 14 Dragon 256 6.25% 15 Dark 64 ane.5625%

Percentage distribution of Subconscious Ability's powers (prior to Generation Six) Powers Qty % 30, 31, 33, 35, 36, 38, xl, 42, 43, 45, 47, 49, 50, 52, 54, 56, 57, 59, 61, 63, 64, 66, 68 128 each (23×) iii.125% each (23×) 32, 34, 37, 39, 41, 44, 46, 48, 51, 53, 55, 58, 60, 62, 65, 67, 69, 70 64 each (18×) 1.5625% each (18×)

External links

Many Pokémon related sites prepared web-based calculators, which allows to compute Subconscious Power of a Pokémon with given IVs:

• Psypoke's Subconscious Power estimator (Generation II)
• Psypoke'southward Hidden Power calculator (Generation Iii and on)
• Legendary Pokémon Subconscious Power calculator (Generation 3 and on)

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Source: https://bulbapedia.bulbagarden.net/wiki/Hidden_Power_(move)/Calculation

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