Monday, November 26, 2018

TI-84 Plus and HP 12C Platinum: Banker's Rounding Method

TI-84 Plus and HP 12C Platinum:  Banker's Rounding Method

Introduction 

The banker's  rounding method involves rounding numeric amounts to the nearest integer.  When the number ends in 0.5  (1.5, 3.5, 8.5, etc), special rules apply:

The decimal gets rounded to the nearest even integer.  For example:  0.5,  2.5, and 4.5 round down to 0, 2, and 4 respectively.  However, 1.5, 3.5, and 5.5 are rounded up to 2, 4, and 6 respectively.

TI-84 Plus Program:  BANKRND

"2018-11-22 EWS"
Disp "BANKER'S ROUNDING"
Prompt X
iPart(X) → I
fPart(X) → F

If F=0.5
Then

If fPart(I/2)=0
Then
I → N
Else
I+1 → N
End

Else
round(X,0) → N
End
Disp N

HP 12C Platinum Program: Banker's Rounding

Note: Use two-digit addresses for the regular HP 12C.

Memory addresses needed: registers 0 through 4.  

Step  Key

001  STO 0
002  INTG
003  STO 1
004  LSTx  
005  FRAC
006  STO 2
007   .
008  5
009   -
010   x=0
011   GTO 018
012   RCL 0
013   FIX 0
014   RND
015   STO 4
016   FIX 2
017   GTO 000
018   RCL 1 
019   2
020   ÷
021   FRAC
022   x=0
023   GTO 029
024   RCL 1
025   1
026   +
027   STO 4
028   GTO 000
029   RCL 1
030   STO 4
031   GTO 000

Source:

"Bankers Rounding"  http://wiki.c2.com/?BankersRounding  Retrieved November 22, 2018


Eddie

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