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+--- Thread: (12C) Modulo, the financial way (/thread-21704.html)
(12C) Modulo, the financial way - Postfix - 05-06-2024 07:19 PM
The modulo operation, sometimes called the 5th basic operation, returns the remainder of an integer division. Normally it is calculated as
a mod b = a - b×INT(a/b)
which can be transformed into a program, in a rather conventional way:
Code:
01 x<>y #t z b a
02 STO n
03 x<>y #t z a b
04 ÷ #t t z a/b
05 g LSTx #t z a/b b
06 x<>y #t z b a/b
07 g INTG
08 × #t t z b×INT
09 RCL n #t z b×INT a
10 -
11 CHS #t t z mod
12 g GTO 00On the other hand, as a financial calculator, we should be surprised if the HP12C wouldn't offer a financial way, too:
Code:
01 f Clear FIN #clears all financial registers
02 PMT #payment
03 x<>y #t z b a
04 CHS #t z b -a
05 PV #current value with negated sign
06 x<>y #t z -a b
07 ÷
08 CHS #t t z n; real quantity of payments
09 n
10 FV #t t z mod; final value with integer quantity of payments
11 g GTO 00Usage: a ENTER b R/S
Examples:
20 mod 7 = 6
200 mod 9 = 2
10 mod 6 = 4
40 mod 6 = 4
100 mod 6 = 4
1E9 mod 6 = 4
Have fun modulating numbers!
(Summarised from my original post)