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HP 12c Manual

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Appendix A: The Automatic Memory Stack 177
File name: hp 12c_user's guide_English_HDPMBF12E44 Page: 177 of 209
Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm
The diagram on page 171 illustrates how the automatic stack lift and stack drop
make chain calculations quick and error-free.
Virtually every chain calculation you are likely to encounter can be done using
only the four stack registers. However, to avoid having to store an intermediate
result in a storage register, you should begin every chain calculation at the
innermost number or pair of parentheses and then work outward — just as you
would if you were doing the calculation manually (that is, using pencil and paper).
For example, consider the calculation of
3 [4 + 5 (6 + 7)]
If this calculation were done from left to right — as were the (simpler) examples
under Chain Calculations on page 20 and page 22 — you would have to enter
five numbers into the calculator before doing the first operation possible (6 + 7).
But since the stack holds only four numbers, this calculation cannot be done
left-to-right. However, it can easily be done if you begin with the calculation in the
innermost pair of parentheses — again, (6 + 7).
Keystrokes Display
6\7+
13.00
Intermediate result of (6+7).
5§
65.00
Intermediate result of 5 (6+7).
4+
69.00
Intermediate result of [4 + 5(6 + 7)].
3§
207.00
Final result: 3 [4 + 5 (6 + 7)].
Arithmetic Calculations with Constants
Because the number in the T-register remains there when the stack drops, this
number can be used as a constant in arithmetic operations. To place the constant
into the T-register, key it into the display (that is, into the X-register), then press
\
three times. This also places the constant in the Y and Z-registers. Each time
an arithmetic operation is then performed — using the constant in the Y-register
and a number keyed into the displayed X-register — the constant will be
“dropped” back into the Y-register.
Example:
The annual sales of solar engineering hardware your firm — currently
$84,000 — are projected to double each year for the next 3 years. Calculate the
annual sales for each of those years.
Keystrokes Display
2\\
\
2.00
Enters constant into Y, Z, and
T-registers.
… 177 …


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