Waterworld
main
register
download
contact
 AC Calc User Guide 

INTRODUCTION

The foundation of AC Calc is a calculator with basic arithmetic functions. Users can selectively add one or more plug-in functions on the top of the foundation. The following figure depicts how AC Calc works.

Design of AC Calc
Figure 1. Architecture of AC Calc

This user guide describes the basic usage of AC Calc, including Common Features and Menus. It also provides detailed explanations of Plug-In functions through the use of examples.


COMMON FEATURES

Common Keys

1-9, 0, . Enter numbers and decimal point
+ - × ÷ Enter arithmetic operations just as they are written, from left to right.
Note that × and ÷ have precedence over + and -, that is, × and ÷ calculations are performed before + and - ones
AC Clear all displayed calculations or values
C Clear the number which is currently displayed
+/- Click immediately after inputting a value to change its sign

Memory Locations
Users can invoke the memory pop-up regardless of which plug-in is currently in use. A total of 10 memory locations are available. The picture on the left shows how to store value to and retrieve value from the memory locations.

Backspace
When a digit has been entered incorrectly, click the backspace to remove the last digit of the number currently displayed.

Constant Operators
Click arithmetic operators twice, i.e., ++, --, ×× or ÷÷. The preceding number will be saved temporarily as constant for further calculations.

Example
Operations Display
Store 7 temporarily as constant and calculate 7 times 5. 7 ×× 5 = 35
Calculate 7 times 8 8 = 56

Back to Top


MENUS

Click the Menu button to invoke the Edit, Mode or Plugins menus.

Edit

Copy and Paste
Copy and paste to and from other applications.

Sum Clipboard
This tool allows users to sum numbers from other sources, e.g., Memo, without re-inputting the numbers manually. Moreover, a character, for example $, can be specified such that only numbers preceded by the character will be included in the summation.

Example
To sum all dollar amounts in a memo.

  • Invoke AC Calc, click the Menu button and select the Mode menu. Choose Options and enter '$' in the Add number begin with field.
  • Select the Edit menu. Click Sum Clipboard.


Mode

Select the Mode menu.

Degrees/ Radians/ Gradients
Select to represent angles in either degrees, radians or gradients. Refer to
Trigonometry of this user guide for usage.

Normal/ Scientific/ Fixed
Select to display decimal numbers in either normal, scientific or fixed mode.

  • Normal: With exact number of decimal places
  • Scientific: In exponential form
  • Fixed: With fixed number of decimal places
    (Specify desired number of decimal places in the Options Menu)

Examples
Operations Display
Calculations in normal mode 123.456 x 123.456
9.9 = 1222.2144
Calculations in scientific mode 123.456 x 123456e02
9.9 = 1.2222144e3
Calculations in fixed mode
(where #decimals=2)
123.456 x 123.46
9.9 = 1222.21

Bin/ Oct/ Dec/ Hex
Select to perform binary, octodecimal, decimal or hexidecimal calculations. Users may also convert numbers from one representation to another.

Examples
Operations Display
Enter number in binary mode Select from Mode Menu Bin, 101010 101010
Arithmetic calculations + 101 * 100 = 111110
Convert to decimal Select from Mode Menu Dec 62
Convert to hexidecimal Select from Mode Menu Hex 3E
Convert to Octodecimal Select from Mode Menu Oct 76
Switch to normal mode Select from Mode Menu Normal 62

Calculations under Bin/ Oct/ Dec/ Hex modes are limited to integers. No decimal points or fractional parts are allowed. Users should select from the Mode Menu Normal/ Scientific/ Fixed to resume calculation of non-integer numbers.

Note: To input hexidecimal numbers, the Programmer plug-in must be installed.

Options ...


Plugins

Click Delete from this Menu to delete one or more plugins from your palm device. Back to Top


PLUG-IN FUNCTIONS

Click the area showing the Current Plug-In function to invoke the Plug-In Menu.
Click the area showing the Current Plug-In function Invoke the Plug-In Menu

This section explains the usage of each Plug-In Function through examples .

Please note that all numbers are represented in Normal mode unless otherwise specified.


Area

Select from Plug-In Menu Area to convert areas among different measuring units.

Units Basic Definition
in2 square inches
ft2 square feet
yd2 square yards
acre acres
mil2 square miles
mm2 square milli-meters
cm2 square centi-meters
m2 square meters
ha hactares
km2 square kilometers

Example
How large is a 2.3-acre farm when expressed in square feet?
Operations Display
Clear AC 0
Input number of acres 2.3 acre 2.3
Convert to square feet ft2 100,188
Back to Top


Euro

Select from Plug-In Menu Euro to convert among Euro and 11 'in' European currencies.

Currencies Exchange Rate (1 Euro =)
EUR 1
ATS 13.7603
BEF 40.3399
DEM 1.95583
ESP 166.386
FIM 5.94573
FRF 6.55957
IEP 0.787564
ITL 1936.27
LUF 40.3399
NLG 2.20371
PTE 200.482

Example
How much is DM1500 when converted to Euro?
Operations Display
Clear AC 0
Input amount 1500 DEM 1,500
Convert to Euro EUR 766.94

How much is FF100 when converted to Italian Lire?
Operations Display
Clear AC 0
Input amount 100 FRF 100
Convert to Italian Lire ITL 29,518
Back to Top


General

Select from Plug-In Menu General.
  Basic Definition
Mac Clear memory location no. 1
Min Store in memory location no. 1
M+ Add to memory location no. 1
M- Minus from memory location no. 1
M Retrieve from memory location no. 1
Abs Absolute value
Mod Modulus
Int Intergral part
Frac Fractional part
Ran Random number
pi
% percentage

Examples
Operations Display
Absolute value of 100 minus 999 100 - 999 = Abs 899
Modulus of 100 divided by 7 100 Mod 7 = 2
Integral part of Int 3
Fractional part of Frac 0.1415926535898

Examples
Given a circle with radius = 5 units, calculate the length of its circumference.
Operations Display
Enter 3.1415926535898
Times radius, times 2 × 5 × 2 = 31.415926535898
Back to Top


Interest

Select from Plug-In Menu Interest to perform compound interest calculation.
Variables Basic Definition
PV Present value
principal or loan amount on start date
FV Future value
principal plus interest at maturity
PMT Payment amount
instalment amount
n Term
number of compound interest periods
i% Interest rate
interest rate per term

Functions Basic Definition
Rcl Recall
show the current values of all variables
Clr Clear
reset all variables under Interest Plug-In
BGN Beginning of term
×12 Multiply inputted number by 12
÷ 12 Divide inputted number by 12
Amo Amortization
view principal amount, interest amount and outstanding balance of each installment until maturity
Cal Calculate
followed by variable the value of which is to be calculated

Remarks:
To represent amounts such as PV, FV and PMT, +ve numbers indicate cash inflows (i.e., receiving money) while -ve numbers indicate cash outflows (i.e., paying money).

Three types of compound interest calculations:

Note that numbers in this section are represented with 2 decimal places.

Savings
The formula FV = PV * (1 + i%)n is applied. Enter the values of three out of the four variables and AC Calc will calculate the remaining variable.

To calculate:

Example 1
Calculate the total principal and interest after 4 years for a principal of $50,000 at 10%, compounded annually.
Operations Display
Reset variables Clr (no change)
Principal amount 50000 +/- PV -50,000
Interest rate 10 i% 10
Term 4 n 4
Calculate Cal FV 73,205

Example 2
Calculate the total principal and interest after 4 years for a principal of $50,000 at 10%, compounded monthly.
Operations Display
Reset variables Clr (no change)
Principal amount 50000 +/- PV -50,000
Interest rate 10 ÷ 12 i% 0.83
Term 4 ×12 n 48
Calculate Cal FV 74,467.70

Example 3
Calculate the principal required at 7%, compounded annually, to attain a total of $1,000,000 in 20 years.
Operations Display
Reset variables Clr (no change)
Interest rate 7 i% 7
Term 20 n 20
Total of principal and interest 1000000 FV 1,000,000
Calculate principal required Cal PV -258,419.00

Example 4
Calculate the interest rate required, compounded annually, to attain a total of $10,000 in 10 years on an initial investment of $6,000.
Operations Display
Reset variables Clr (no change)
Initial principal 6000 +/- PV -6,000
Term 10 n 10
Total of principal and interest 10000 FV 10,000
Calculate interest rate Cal i% 5.24

Example 5
Calculate the number of years needed to increase an initial investment of $5,000 to a total of $10,000 at an annual interest rate of 5.6%, compounded monthly.
Operations Display
Reset variables Clr (no change)
Initial principal 5000 +/- PV -5,000
Total of principal and interest 10000 FV 10,000
Interest Rate 5.6 ÷ 12 i% 0.46
Calculate term (no. of months) Cal n 149
Calculate term (no. of years) ÷12 12.42

Instalment Savings

The total principal and interest (FV) that the depositor receives at maturity of an instalment savings depends on the interest rate (i%), term (n) and instalment amount (PMT). Enter the values of three out of the four variables. AC Calc will calculate the remaining variable.

In addition, user may indicate whether payment is made at end of term or beginning of term.

To calculate:

Example 6
Calculate the total of principal and interest for $250 monthly deposits for 5 years at 6% annual interest, compounded monthly. Assume that payment is made at end of each month.
Operations Display
Reset variables Clr (no change)
Term 5 ×12 n 60
Interest Rate 6 ÷ 12 i% 0.50
Instalment Amount 250 +/- PMT -250
Calculate total principal and interest Cal FV 17,442.51

Now, assume that payment is made at beginning of each month.
Operations Display
Beginning of term BGN (no change)
Calculate total principal and interest Cal FV 17,529.72

Example 7
Calculate amount required for each instalment to achieve a total of $500,000 in 10 years at an interest rate of 6%, compounded monthly.
Operations Display
Reset variables Clr (no change)
Term 10 ×12 n 120
Interest Rate 6 ÷ 12 i% 0.50
Total principal and interest 500000 FV 500,000
Calculate instalment amount Cal PMT -3,051.03
Beginning of term payment BGN (no change)
Calculate instalment amount Cal PMT -3,035.85

Example 8
Calculate the number of $84 instalment required to attain an amount of $6,000 at an annual interest rate of 6%, compounded monthly.
Operations Display
Reset variables Clr (no change)
Interest Rate 6 ÷ 12 i% 0.50
Total principal and interest 6000 FV 6,000
Instalment amount 84 +/- PMT -84
Calculate term (no. of months for end of term payment) Cal n 62
Beginning of term payment BGN (no change)
Calculate term (no. of months for beginning of term payment) Cal n 61

Example 9
Calculate the annual interest rate required to attain an amount of $100,000 in 10 years with $600 monthly instalment. Assume end of term payment.
Operations Display
Reset variables Clr (no change)
Total principal and interest 100000 FV 100,000
Instalment amount 600 +/- PMT -600
Term 10 ×12 n 120
Calculate interest rate (per term) Cal i% 0.52
Annual interest rate ×12 6.31

Example 10
Calculate the total principal and interest after 1 year for an instalment savings account opened with an initial deposit of $1000 and $600 additional monthly deposits at an interest rate of 4.5%, compounded monthly.
Operations Display
Reset variables Clr (no change)
Initial Deposit 1000 +/- PV -1,000
Instalment amount 600 +/- PMT -600
Term 12 n 12
Interest rate 4.5 ÷ 12 i% 0.37
Calculate total principal and interest Cal FV 8,396.31

How if the additional monthly deposits is $500 instead of $600?
Operations Display
Instalment amount 500 +/- PMT -500
Calculate total principal and interest Cal FV 7,171.25

Instalment Loans

Total loan amount at present (PV) is to be repaid by constant instalments (PMT) until maturity. The instalment amount depends on the interest rate (i%) and term (n). Enter the values of three out of the four variables and AC Calc will calculate the remaining variable.

Again, user may indicate whether payment is made at end of term or beginning of term.

To calculate:

Example 11
Calculate how much can be borrowed on a 20-year home mortgage loan at a 9.5% annual interest rate, if $15,000 can be repaid per month. Assume end of term payment.
Operations Display
Reset variables Clr (no change)
Term 20 ×12 n 240
Interest Rate 9.5 ÷ 12 i% 0.79
Instalment Amount 15000 +/- PMT -15,000
Calculate total principal and interest Cal PV 1,609,215.55

How if the interest rate is 10.25% instead?
Operations Display
Interest Rate 10.25 & ; 12 i% 0.85
Calculate total principal and interest Cal PV 1,528,049.82

Example 12
Calculate the monthly instalment amount for a 18 year $3,000,000 home loan at 8.75% per annum. Assume end of term payment.
Operations Display
Reset variables Clr (no change)
Term 18 ×12 n 216
Interest Rate 8.75 ÷ 12 i% 0.72
Loan amount 3000000 PV 3,000,000
Calculate total principal and interest Cal PMT -27,626.71

Example 13
Calculate the number of years it will take to repay a $200,000 loan borrowed at 9.0% interest, with monthly payment amount being $5,000. Assume end of term payment.
Operations Display
Reset variables Clr (no change)
Payment amount 5000 +/- PMT -5,000
Interest Rate 9 ÷ 12 i% 0.75
Loan amount 200000 PV 200,000
Calculate term (no. of month) Cal n 48

Example 14
Calculate interest rate on a 18-year $2,650,000 loan repaid with $18,000 monthly payments. Assume end of term payment.
Operations Display
Reset variables Clr (no change)
Payment amount 18000 +/- PMT -18,000
Term 18 ×12 n 216
Loan amount 2050000 PV 2,050,000
Calculate interest rate (monthly) Cal i% 0.67
Interest rate (yearly) ×12 8.05

Amortization

The function shows the balance, principal portion and interest portion in different periods throughout the life of a loan (or a saving).

Click the Accumulate button to show the cumulative principal and interest.

Back to Top


Length

Select from Plug-In Menu Length to convert lengths among different measuring units.

Units Basic Definition
mil Mils
in Inches
ft Feet
yd Yards
mi Miles
nmi Nautical miles
u Microns
mm Milli-meters
cm Centi-meters
m Meters
km Kilo-meters
au Astronomical Units

Example
How long is 3 yards when expressed in meters?
Operations Display
Clear AC 0
Input number of yards 3 yd 3
Convert to meters m 2.74
Back to Top


Margin

Select from Plug-In Menu Margin to calculate between cost, selling price and margin.
Variables Basic Definition
CST Cost
SEL Selling Price
MAR Margin

Functions Basic Definition
Cal Calculate
Rcl Recalculate
Clr Clear

The formula MAR% = (SEL - CST) / SEL is applied.

Examples
If a product which costs $90 sells for $100, what is the profit margin (in %)?
Operations Display
Enter cost 90 CST 90
Enter selling price 100 SEL 100
Calculate margin Cal MAR 10

If the merchant wants to sell the product (in the previous example) at a 20% margin, how much should he sell the product for?
Operations Display
Enter margin 20 MAR 20
Calculate selling price Cal SEL 112.5
Back to Top


Math

Select from Plug-In Menu Math to use mathematical functions.

Functions Basic Definition
X2 Squares
Xy Powers
10x Ten to the power x
ex Exponential
X! Factorials
e.g., 5! = 5x4x3x2x1
nCr Combination
= n! * (n-r)! / r!
Square roots
Roots
log Logarithms
ln Natural logarithms
1/X Reciprocals
nPr Permutation
= n! / (n-r)!

Examples
Operations Display
123 + 302 123 + 30 X2 = 1,023
5.62.3 5.6 Xy 2.3 = 52.58143837
100.4 + 5*e- 3 0.4 10x + 5 x 3 +/- ex = 2.760821773
8! 8 X! 40,320
6C3 6 nCr 3  
2 + 3 * 5 2 + 3 × 5 = 5.287196908
7 123 123 7 = 1.988647795
log 1.23 1.23 log 0.089905111
ln 90 90 ln 4.49980967
1
1
_ 1
3 4
3 1/X - 4 1/X = 1/X 12
6P3 6 nPr 3  
Back to Top


Memory

Select from Plug-In Menu Memory to store values to memory locations.
Variables Basic Definition
K1 - K11 Memory locations

Function Basic Definition
Sto Store value to a memory location

Refer to Common Feature section to learn quick memory storage and retrieval.

Examples
Operations Display
Store 5.678 to K1 5.678 Sto K1 5.678
Store 1.02 to K2 1.02 Sto K2 1.02
Multiply K1 by K2 K1 x K2 = 5.79156
Calculate square of K1 K1
Select from Menu Math X2
32.239684
Back to Top


Option Price

Select from Plug-In Menu Option Price for the Black Schole option pricing model.

Variables Basic Definition
S Stock price
X Exercise price (Strike price)
t Time to expiration (no. of years)
r Risk-free interest rate (%)
s Standard deviation of stock prices from their average

Functions Basic Definition
Call Price of a call option
Put Price of a put option

Examples
Operations Display
Stock price 58 S 58
Exercise price 60 X 60
Time to expiration 0.5 t 0.5
Risk free interest rate 3.5 r 3.5
Standard deviation 5.05 s 5.05
Price of the call option Call 8.7458070712253
Price of a put option Put  
Back to Top


Programmer

Select from Plug-In Menu Programmer to perform bitwise operations and input hexidecimal numbers. Users must select either Bin, Oct, Dec or Hex mode to use the functions in this plug-in.

Functions Basic Definition
not  
and  
or  
xor  
<< Shift bits to left
>> Shift bits to right

Keys  
A to F Hexidecimal representation of 10 to 15 respectively

Examples
Operations Display
Switch to binary mode BIN  
101010 and 111000 101010 and 111000 101000
Shift to left by 2 bits << 10 10100000
Back to Top


Statistical

Select from Plug-In Menu Statistical to carry out statistical operations.

Functions Basic Definition
Xs n Standard Deviation, n
Xs n-1 Standard Deviation, n-1
X Mean
n Number of data items
å X Summation of all data
å X2 Summation of squares of all data
Clr Clear all data
Freq Enter a datum for a number of times
Dta Enter a datum

Example
Calculate sum, mean and standard deviation for the following set of data: 13, 6, 8, 8, 8

Operations Display
  Clr 13 Dta 3
  6 Dta 6
  3 Freq 8 Dta 8
Number of data items n 5
Sum åX 43
Mean X 8.6
Standard Deviation, n Xs n 2.332380758
Back to Top


Trigonometry

Select from Plug-In Menu Trigo to calculate trigonometric ratios.

Functions Basic Definition
cos cosine
sin sine
tan tangent
cosh hyperbolic cosine
sinh hyperbolic sine
tanh hyperbolic tangent
cos-1 arc cosine
sin-1 arc sine
tan-1 arc tangent
cosh-1 arc hyperbolic cosine
sinh-1 arc hyperbolic sine
tanh-1 arc hyperbolic tangent

Example
Operations Display
sin 30° x cos 45° Degrees 30 sin 0.5
  x 45 cos 0.707106781
  = 0.35355339
tan (100/3) 100 ÷3 = 33.33333333
  tan 0.657710346
Back to Top


Weight

Select from Plug-In Menu Weight to convert weights among different measuring units.

Units Basic Definition
gr Grain
oz Ounces
lb Pound
stone Stone
cwt Hundredweight
ton Ton
mg Milli-gram
g Gram
kg Kilo-gram
t Tonne

Example
How many pounds are 50 kilograms?
Operations Display
Clear AC 0
Input number of kilograms 50 kg 50
Convert to pounds lb 110.23113
Back to Top

Copyright © 2000, First Water Technologies Ltd. All rights reserved.