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# Quickie RPN Routines: HP 42S, DM42, Free 42

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

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

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