HP 12C Platinum Instruction Manual
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hp calculators
HP 12C Platinum Using the RPN stack to solve problems efficiently
hp calculators - 5 - HP 12C Platinum Using the RPN stack to solve problems efficiently - Version 1.0
T
d
c
c
b
b
a
a
a
Z
c
b
b
a
a
1.86
a
a
Y
b
a
a
1.86 1.86 1.24 1.86
a
X
a
3.4567 1.86 3.46 1.24 2 2.48 4.34
3.4567
gr
(1)
gF
(2)
g¿
2
(3)
§
(4)
+
(5)
L
l
l
3.4567 3.4567 3.4567 3.4567 2.00 2.48
Figure 8
Using the stack registers efficiently does not mean to keep track of all stack register contents all the time. Instead
keeping track of what is happening, like which registers have their contents being used, is helpful.
Practice solving problems with stack registers
Example 5:
Now what is the shortest keystroke sequence to find y value if the previous expression is changed for the
one below, given x=3.4567?
x
xxy
1
)ln(2 −×+=
Figure 9
Solution: One of the shortest keystroke sequences to compute y in the expression is:
3.4567 gr gF y Þ gF g¿ 2 § + +
Figure 10
In this example, a single shift in the sequence of terms was made. The term 2×ln(x) needs four keystrokes
and does not leave a copy of x in L-register, so it was left as the last term to be computed. The expression
is written like this:
)ln(2
1
x
x
xy ×+−= Figure 11
Another sequence to compute the expression is:
3.4567 gr gF \
(6)
g¿ 2 § ~
(7)
y - +
This sequence uses \ to duplicate the number in the X-register
(6)
so it can be used to compute 2×ln(x)
while a copy of it held in Y-register is retrieved to compute -1/x later
(7)
.