(12C) Modulo Operation

[Gamo]

Modulo (MOD) operation returns the remainder of a division.

All the HP Voyager Series (10, 11, 12 and 15) not include

the MOD function except the 16.

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Let's calculate this MOD Operation manually.

example: 1155 MOD 13

1155 [ENTER] 13

►[ENTER] [ENTER] [-] [R↓] [X<>Y] [LSTx] [÷] [INTG] [x] [-]

Display Answer 11

With this manually key in operation can be easily input those
keys sequence as a program start from ► the whole line.
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Once key in as a program let's try one more example.

How many years from 1983 to 2024 instead of simple subtraction
let's use this MOD operation.

2024 [ENTER] 1983 [R/S] display answer 41
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Gamo 6/2024

[C.Ret]

(06-30-2024 05:15 AM)Gamo Wrote:  Let's calculate this MOD Operation manually.
example: 1155 MOD 13
1155 [ENTER] 13 ► [ENTER] [ENTER] [-] [R↓] [X<>Y] [LSTx] [÷] [INTG] [x] [-] ► Display Answer 11

May I suggest a slightly shorter alternative solution to use from the ► starting point:

[Albert Chan]

(07-31-2018 06:10 PM)Albert Chan Wrote:  Register Y X --> X Mod(Y, X)

Keep pressing R/S, eventually it display 0, previous Mod was Gcd (Rotate key to get it back)

Code:

                ; HP-12C Mod Program: Y X --> X Mod(Y, X)
Enter Enter     ; Y X X X
- LastX +       ; Y Y X X
Rotate          ; X Y Y X
/ LastX Swap    ; X Y X Y/X
Int * -         ; X X X Mod(Y,X)

From my old post, we can have mod get gcd as well