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HP Prime: Feet/Feet-Inch-Fraction Conversions (compact format)

HP Prime:  Feet/Feet-Inch-Fraction Conversions  (compact format)

Introduction

The two functions presented on this blog entry are FIFT (feet-inches-sixteenth of inches to feet) and FTFI (feet to feet-inches-sixteenth of inches).  The format of the feet-inches-sixteenth of inches are as follows:

FF: feet
II: inches
NN: sixteenth of an inch

Example:  4.0107 -> 4 feet 1 inch 7/16
Example: 5.1108 -> 5 feet 11 inches 1/2
Example: 3.06142 -> 3 feet 6 inches 14.2/16

There is no rounding or fraction simplification involved with this format.

HP Prime Program FIFT:    FF.IINN to Feet

EXPORT FIFT(X)
BEGIN
// 2018-10-08 EWS
// FF.II16 → FEET
LOCAL Y,Z;
Y:=100*FP(X);
Y:=(IP(Y)+100*FP(Y)/16)/12;
Z:=IP(X)+Y;
RETURN Z;
END;

Examples:

FIFT(6.111) returns 6.96875   (6 ft 11 in 10/16 -> 6.96875 ft)
FIFT(0.0808) returns 0.70833333333 (8 in 8/16 (8 in 1/2) -> 0.70833333333 ft)

HP Prime Program FTFI:  Feet to FF.IINN

EXPORT FTFI(X)
BEGIN
// 2018-10-08 EWS
// FEET → FF.II16
LOCAL Y,Z;
Y:=FP(X)*12;
Z:=IP(Y)/100;
Y:=FP(Y)*16/10000;
Z:=IP(X)+Z+Y;
RETURN Z;
END;

Examples:

FTFI(5.78125) returns 5.0906  (5.78125 ft -> 5 ft 9 in 6/16  (5 ft 9 in 3/8))
FTFI(4.05) returns 4.00096  (4.05 ft -> 4 ft 9.6/16 in)

Eddie

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