Pattern I Have Discovered In Decimal to Hex Conversion

0 = 0/0
25 = 19/1
50 = 32/3
75 = 4B/4
100 = 64/6
125 = 7D/7
150 = 96/9
175 = AF/10
200 = C8/12
225 = E1/14
250 = FA/15
275 = 113/17
300 = 12C/18
325 = 145/20
350 = 15E/21
375 = 175/23
400 = 190/24
425 = 1A9/26
450 = 1C2/28
475 = 1DB/29
500 = 1F4/31
525 = 20D/32
550 = 226/34
575 = 23F/35
600 = 258/37
625 = 271/39
650 = 28A/40
675 = 2A3/42
700 = 2BC/43
725 = 2D5/45
750 = 2EE/46
775 = 307/48
800 = 320/50
825 = 339/51
850 = 352/53

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Each increment by 25 is 19 in Hex

Each far left bit is counted as a value in decimal as is shown
after "/"

Each of those bits are incremented by either 1 or 2, depending
on what the preceding decimal value is in the pattern

For every 100(d), the incrementation of the values are 6,
except for 400 to 500, which is 7

After this, the values become odd numbers

If the right-most bit of the Hex value is equal to or greater
than 7, the proceeding decimal value will be incremented by 2,
otherwise it is incremented by 1, regardless if the decimal
value of the Hex has been incremented by 2

The pattern of Hex values for the right-most digit is as
follows:

0,9,2,B,4,D,6,F,8,1,A,3,C,5,E,5

By looking at the decimal value for the Hex, we can determine
what the next value will be in Hex via the incrementation
rules

The Hex value will increment in accordance to the decimal
value on the far right

If it increments by 2, so will the Hex value, likewise if the
value increments by 1

After 750, the values increment by 2 two times in a row

The pattern for the left-most digit of Hex values is as
follows:

0,1,3,4,6,7,9,A,C,E,F

Now, the following set of values after the decimal value 250
slightly differ:

1,2,4,5,7,9,A,C,D,F

Now, the next set of values:

0,2,3,5,7,8,A,B,D,E

The sets of values decrement on every other value

This is also true, and follows the rules of the decimal values
on the far right

In a way, they are the same, because they both are relative
in meaning

Knowing this, let's determine what 875 is in Hex:

The first number we know is going to be 3 because the previous
number is not even close to 3FF

3

For the second number, we take a look at the lists and compare
them
We know that we are in the third set, because three 250's is
in the range >= 750 but <= 1000
So, the preceding number was 5, so the next number should be
7

37

Next, we take a look at the original Hex pattern for the far
right bit

The preceding value was 2, so the next value must be... B

37B

Check it in the calculator, and you will see that 875 in Hex
is indeed 37B