Quickie RPN Routines: HP 42S, DM42, Free 42
X, Y refer to their respective stacks and their values
1 + 1 /( 3^(2*X)) + 1/(5^(2*X))
Routine A:
(Labels are omitted for these exercises)
2
*
ENTER
ENTER
3
X <> Y
Y ↑X
1 / X
X <> Y
5
X <> Y
Y ↑ X
1 / X
+
1
+
END
Routine B:
2
*
+ / 
3
X <> Y
Y ↑ X
LAST X
5
X <> Y
Y ↑ X
+
1
+
END
Examples:
X: 2.0000, Result: 1.0139
X: 3.1666, Result: 1.0010
(X + Y)*(X^2 + Y^2)
Routine A:
ENTER
X ↑ 2
R ↓
X <> Y
+
LAST X
X ↑ 2
R ↑
+
*
END
Routine B:
STO ST Z
X ↑ 2
X <> Y
STO + ST Z
X ↑ 2
+
*
END
Examples:
X: 4.0000, Y: 3.0000, Result: 175.0000
X: 2.7000, Y: 3.6000, Result: 127.5750
√(1 + X^2) / √(1  X^2)
Routine A:
X ↑ 2
1
X <> Y

LAST X
1
+
X <> Y
÷
SQRT
END
Routine B:
X ↑ 2
ENTER
ENTER
1
STO + ST Z
STO  ST Y
R ↓
+ / 
÷
SQRT
END
Examples:
X: 0.5556, Result: 1.3759
X: 0.7278, Result: 1.8035
X / √(X^2 + Y^2)
Routine:
X ↑ 2
X <> Y
STO ST Z
X ↑ 2
+
SQRT
÷
END
Examples:
X: 0.5000, Y: 0.7500, Result: 0.5547
X: 1.8080, Y: 1.0220, Result: 0.8705
(X + Y) / (X * Y)
Routine A:
STO ST Z
X <> Y
STO + ST Z
*
÷
END
Routine B:
ENTER
R ↓
X <> Y
+
LAST X
R ↑
*
÷
END
Examples:
X: 5.0000, Y: 4.0000, Result: 0.4500
X: 2.9505, Y: 3.8181, Result: 0.6008
X^Y + Y^X
Routine A:
ENTER
R ↓
X <> Y
Y ↑ X
LAST X
R ↑
Y ↑ X
+
END
Routine B:
ENTER
R ↓
X <> Y
Y ↑ X
LAST X
R ↑
Y ↑ X
+
END
Examples:
X: 3.9050, Y: 2.7006, Result: 88.0041
X: 4.2650, Y: 4.8750, Result: 2036.6461
Have fun! See you all next week!
Eddie
All original content copyright, © 20112019. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.
X, Y refer to their respective stacks and their values
1 + 1 /( 3^(2*X)) + 1/(5^(2*X))
Routine A:
(Labels are omitted for these exercises)
2
*
ENTER
ENTER
3
X <> Y
Y ↑X
1 / X
X <> Y
5
X <> Y
Y ↑ X
1 / X
+
1
+
END
Routine B:
2
*
+ / 
3
X <> Y
Y ↑ X
LAST X
5
X <> Y
Y ↑ X
+
1
+
END
Examples:
X: 2.0000, Result: 1.0139
X: 3.1666, Result: 1.0010
(X + Y)*(X^2 + Y^2)
Routine A:
ENTER
X ↑ 2
R ↓
X <> Y
+
LAST X
X ↑ 2
R ↑
+
*
END
Routine B:
STO ST Z
X ↑ 2
X <> Y
STO + ST Z
X ↑ 2
+
*
END
Examples:
X: 4.0000, Y: 3.0000, Result: 175.0000
X: 2.7000, Y: 3.6000, Result: 127.5750
√(1 + X^2) / √(1  X^2)
Routine A:
X ↑ 2
1
X <> Y

LAST X
1
+
X <> Y
÷
SQRT
END
Routine B:
X ↑ 2
ENTER
ENTER
1
STO + ST Z
STO  ST Y
R ↓
+ / 
÷
SQRT
END
Examples:
X: 0.5556, Result: 1.3759
X: 0.7278, Result: 1.8035
X / √(X^2 + Y^2)
Routine:
X ↑ 2
X <> Y
STO ST Z
X ↑ 2
+
SQRT
÷
END
Examples:
X: 0.5000, Y: 0.7500, Result: 0.5547
X: 1.8080, Y: 1.0220, Result: 0.8705
(X + Y) / (X * Y)
Routine A:
STO ST Z
X <> Y
STO + ST Z
*
÷
END
Routine B:
ENTER
R ↓
X <> Y
+
LAST X
R ↑
*
÷
END
Examples:
X: 5.0000, Y: 4.0000, Result: 0.4500
X: 2.9505, Y: 3.8181, Result: 0.6008
X^Y + Y^X
Routine A:
ENTER
R ↓
X <> Y
Y ↑ X
LAST X
R ↑
Y ↑ X
+
END
Routine B:
ENTER
R ↓
X <> Y
Y ↑ X
LAST X
R ↑
Y ↑ X
+
END
Examples:
X: 3.9050, Y: 2.7006, Result: 88.0041
X: 4.2650, Y: 4.8750, Result: 2036.6461
Have fun! See you all next week!
Eddie
All original content copyright, © 20112019. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.
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