Wagon numbering system in India

A new wagon numbering system was adopted in Indian Railways in "2003". Wagons are allocated 11 digits, making it easy for identification and computerization of a wagon's information. The first two digits indicate "Type of Wagon," the third and fourth digits indicate "Owning Railway," the fifth and sixth digits indicate "Year of Manufacture," the seventh through tenth digits indicate "Individual Wagon Number," and the last digit is a "Check digit."
First two digits.
These two digits indicate "Type of Wagon".
Open wagon.
Code allotted is from 10 to 29 
Covered wagon.
Code allotted is from 30 to 39
Tank wagon.
Code allotted is from 40 to 54
Flat wagon.
Code allotted is from 53 to 69
Hopper wagon.
Code allotted is from 70 to 79
Well wagon.
Code allotted is from 80 to 84
Brake van.
For Brake Van code allotted is from 85 to 89
Third & fourth digits.
These two digits indicate the "owning railway".
Fifth & sixth digits.
These two digits indicate the last two digits of the "year of manufacture"
<br>For example,<br>08 for 2008<br>15 for 2015
Seventh to tenth digits.
These digits indicate "Individual Wagon Number". This is a running serial number from 0001 to 9999.
Last digit.
This is a "Check digit".<br>
The "Check Digit" for each wagon is calculated using a six-step algorithm as indicated below. 
Let the wagon number be C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11. (C1 is the first digit, C2 is the second digit, and so on)
<br>"Step 1 ": Starting from the left, add all the Characters in the even position.
S1 = C2 + C4 + C6 + C8 + C10
<br>"Step 2 ": Multiply the sum by 3 to get 3×S1
<br>"Step 3 ": Starting from the left.. add all the Characters in the odd position.
S2 = C1 + C3 + C5 + C7 + C9
<br>"Step 4 ": Add the sum of step 2 to the sum of step 3 to get S4= 3×S1+S2
<br>"Step 5 ": Round this total up to the next multiple of 10.
<br>"Step 6 ": The check digit is the number required to the added to round up to the next
multiple of 10
An example for the calculation,
<br>Let the wagon number is 31101695215
<br>"Step 1 :" S1 = C2 + C4 + C6 + C8 + C10 = 1+0+6+5+1 = 13
<br>"Step 2 :" 3 × S1 = 39
<br>"Step 3 :" S2 = C1+ C3 + C5 + C7 + C9 = 3+1+1+9+2 = 16
<br>"Step 4 :" S4= 3 × S1 + S2 = 39 + 16 = 55
<br>"Step 5 :" Next 10th multiple of 55 = 60
<br>"Step 6 :" Check digit = 60 - 55 = 5
<br>Hence the eleventh digit is assigned as 5 for this particular wagon.
Abbreviations used for wagon type code.
M :- (prefix) MG
<br>N :- (prefix) NG
B :- (prefix) Bogie wagon (sometimes omitted)
<br>BV :- Brake van
<br>V :- Brake/parcel van (see above for brake van codes)
<br>O :- Open wagon (gondola)
<br>C :- Covered wagon (boxcar)
<br>F :- Flat car
<br>FK :- Flat car for container transport
<br>FU :- Well wagon
<br>LA :- Low flat car with standard buffer height
<br>LB :- Low flat car with low buffer height
<br>LAB :- Low flat car, one end with low buffers, the other with high buffers
<br>R :- Rail-carrying wagon
<br>T :- Tanker (additional letters indicate material carried)
<br>U :- Well wagon
<br>W :- Well wagon
<br>K :- Open wagon: ballast / material / refuse transport (older wagons)
<br>C :- Centre discharge
<br>S :- Side discharge
<br>R :- Rapid (forced) discharge, bottom discharge
<br>X :- Both centre and side discharge
<br>X :- (also) High sided
<br>Y :- Low (medium) side walls
<br>L :- Low sided
<br>H :- Heavy load
The ‘B’ indication is sometimes omitted as all new wagons are bogie stock.
Following the type code in the classification code a letter may denote the type of coupler, nowadays optional, as all new freight cars are fitted with centre buffer couplers (CBC). An 'N' suffix is for 'pneumatic', or air-braked wagons. Most newer stock that is air-braked also has CBC couplers, so the 'C' is usually dropped. E.g., BOXN for air-braked BOX wagons, not BOXCN. Almost all the older stock is vacuum-braked.
C :- Centre buffer coupler (CBC)
<br>R :- Screw coupling only
<br>T :- Transition coupler (CBC with additional side buffers and screw coupling)
<br>N :- Air-braked
<br>M :- (suffix) Military