"My Battle Resolution System"

"Battle Resolution System"

Imagine Two Forces battling each other...Each side has a number of units(There is no unit type)...
Situation 1: (One side has less units than the other) Imagine side A with 5 units and side B with 9 units.
Situation 2: (Both sides has equal units) Imagine side A & B with 5 units.

-----Situation 1: (One side has less units than the other)-----
So If I were to ask you a question who would win? side A with 5 units or side B with 9 units?
(doesn't matter who is the attacker or defender)
Of course it's the side B with more units, side A will be totally eradicated...
(doesn't include any other factor: Just pure power by numbers, the more units the more power...Side B managed to kill all of side A's units)
But how do you know how much losses does side B have to lose or how many will be left in side B?
(After all side B used it's unit's used it's units to fight side A, it must have some losses...)

This Resolution needs a Standard Die(1-6) to be rolled... Let's say they had a draw.

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FORMULA for Situation 1:

Power Distribution: A/B=C (A divided by B equals to C)
Damage: C*A=D (C multiplied by A equal to D)
Result: B-D=E (B minus D equal to E)

A= Side with less units (No. of unit=Power)
B= Side with more units (No. of unit=Power)
C= Power of A distributed to B
D= Damage to B by A (Rounded up to whole number)
E= Units left from B
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Example:

A=5 units
B=9 units

Power Distribution:
A/B=C
5/9=0.555
C=0.555 (Power of A distributed to B: that's because side A cannot fight side B's units one on one and thus it needs to spread it's Power, that means side A is distributing 0.555 power to each of side B's 9 units)

Damage:
C*A=D
0.555*5=2.778
D=2.778-->3 (Damage to B by A, Rounded up to whole number: The Power distribution is multiplied to A to get it's Total Power)

Result:
B-D=E
9-3=6
E-6 (Units left from B: Side B minus the Total Power of side A)

When Both sides (A&B) engaged,
Side A lost 5 units... (from an initial of 5 units)
Side B lost 3 units... (from an initial of 9 units)

So what's left is this...
Side A= 0 units left
Side B= 3 units left

-----Situation 2: (Both sides has equal units)-----
So If I were to ask you a question who would win? side A with 5 units or side B with 5 units?
This Resolution needs a Standard Die(1-6) to be rolled... Let's say they had a draw.
But how do you know how much losses does both sides have to lose or how many will be left in both sides?
(After all both sides fought, Both sides must have some losses even if it's a draw...)

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FORMULA for Situation 2:

Equal Power: A=B
Damage: (A or B)/2=F
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Example:

A=5 units
B=5 units
F=Damage to both sides (Rounded up to whole number)

A/2
5/2=2.5
F=2.5-->3 (Rounded up to whole number)

B/2
5/2=2.5
F=2.5-->3 (Rounded up to whole number)

When Both sides (A&B) engaged,
Side A lost 3 units... (from an initial of 5 units)
Side B lost 3 units... (from an initial of 5 units)

So what's left is this...
Side A= 2 units left
Side B= 2 units left

The values can be changed for A and B...(Any Value)
If the values are UNEQUAL use the Formula for Situation 1...
If the values are EQUAL use the Formula for Situation 2...

I was going to use this formula for creating a "Battle Resolution Table"...
Both Sides can have a maximum of 9 units, So it's easier to create a table
(I would calculate every engagement using the Formulas and record it on the "Battle Resolution Table";)
If anyone asks why did I put those results in the table or how did I come up with those results, I can show them what i used as a basis for the calculations. (Thus I can prove that it is fair)

Both sides would just roll a standard die(1-6) whoever is higher is the winner...
Those Formulas are used for specific situations, such as Situation 1 and Situation 2

Situation 1: (One side has less units than the other)
Situation 2: (Both sides has equal units)

Those are for DRAW results...

HERE IT IS: (If someone wins and someone loses)

E*0.5(1/2)=G

E=Units left (From any side)
G=Reduced Damage (Rounded up to whole number)

Example:

If either side loses any no. of units, which ever side is the winner it's losses will be cut in half
(Rounded up to whole number)
If your losses in the engagement was 4, you will be left with 2.
If your losses in the engagement was 5, you will be left with 2. (Rounded up to whole number)