HP 12c Owners Manual
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Section 1: Getting Started 21 File name: hp 12c_users guide_English_HDPMBF12E44 Page: 21 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm Keystrokes Display - 21.68 Pressing - subtracts the number just entered from the number previously in the display. The calculator displays the result of this calculation, which is the balance after subtracting the second check. 10.14- 11.54 Keys in the next number and subtracts it from the previous balance. The new balance appears in the display. (It’s getting rather low!) 1053+ 1,064.54 Keys in the next number — the paycheck deposited — and adds it to the previous balance. The new, current balance appears in the display. The preceding example demonstrates how the hp 12c calculates just as you would using pencil and paper (except a lot faster!): Let’s see this happening in a different type of calculation — one that involves multiplying groups of two numbers and then adding the results. (This is the type of calculation that would be required to total up an invoice consisting of several items with different quantities and different prices.) For example, consider the calculation of (3 × 4) + (5 × 6). If you were doing this on paper, you would first do the multiplication in the first parentheses, then the multiplication in the second parentheses, and finally add the results of the two multiplications:
22 Section 1: Getting Started File name: hp 12c_users guide_English_HDPMBF12E44 Page: 22 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm Your hp 12c calculates the answer in just the same way: Keystrokes Display 3\4§ 12.00 Step 1: Multiply the numbers in the first parentheses. 5\6§ 30.00 Step 2: Multiply the numbers in the second parentheses. + 42.00 Step 3: Add the results of the two multiplications. Notice that before doing step 2, you did not need to store or write down the result of step 1: it was stored inside the calculator automatically. And after you keyed in the 5 and the 6 in step 2, the calculator was holding two numbers (12 and 5) inside for you, in addition to the 6 in the display. (The hp 12c can hold a total of three numbers inside, in addition to the number in the display.) After step 2, the calculator was still holding the 12 inside for you, in addition to the 30 in the display. You can see that the calculator holds the number for you, just as you would have them written on paper, and then calculates with them at the proper time, just as you would yourself. * But with the hp 12c, you don’t need to write down the results of an intermediate calculation, and you don’t even need to manually store it and recall it later. By the way, notice that in step 2 you needed to press \ again. This is simply because you were again keying in two numbers immediately following each other, without performing a calculation in between. To check your understanding of how to calculate with your hp 12c, try the following problems yourself. Although these problems are relatively simple, more complicated problems can be solved using the same basic steps. If you have difficulty obtaining the answers shown, review the last few pages. 00 . 77 ) 6 5 ( ) 4 3 (=+×+ 25 . 0 ) 38 14 () 14 27 ( = +− 13 . 0 21 16 35 = + + * Although you don’t need to know just how these numbers are stored and brought back at just the right time, if you’re interested you can read all about it in Appendix A. By gaining a more complete understanding of the calculator’s operation, you’ll use it more efficiently and confidently, yielding a better return on the investment in your hp 12c.
Section 1: Getting Started 23 File name: hp 12c_users guide_English_HDPMBF12E44 Page: 23 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm Storage Registers Numbers (data) in the hp 12c are stored in memories called “storage registers” or simply “registers.” (The singular term “ memory” is sometimes used in this handbook to refer to the entire collection of storage registers.) Four special registers are used for storing numbers during calculations (these “stack registers” are described in Appendix A), and another (called the “LAST X” register) is used for storing the number last in the display before an operation is performed. In addition to these registers into which numbers are stored automatically, up to 20 “data storage” registers are available for manual storage of numbers. These data storage registers are designated R 0 through R9 and R.0 through R.9. Fewer registers are available for data storage if a program has been stored in the calculator (since the program is stored in some of those 20 registers), but a minimum of 7 registers is always available. Still other storage registers — referred to as the “financial registers” — are reserved for numbers used in financial calculations. Storing and Recalling Numbers To store the number from the display into a data storage register: 1. Press ? (store). 2. Key in the register number: 0 through 9 for registers R 0 through R9, or .0 through .9 for registers R .0 through R.9. Similarly, to recall a number from a storage register into the display, press : (recall), then key in the register number. This copies the number from the storage register into the display; the number remains unaltered in the storage register. Furthermore, when this is done, the number previously in the display is automatically held inside the calculator for a subsequent calculation, just as the number in the display is held when you key in another number. Example: Before you leave to call on a customer interested in your personal computer, you store the cost of the computer ($3,250) and also the cost of a printer ($2,500) in data storage registers. Later, the customer decides to buy six computers and one printer. You recall the cost of the computer, multiply by the quantity ordered, and then recall and add the cost of the printer to get the total invoice. Keystrokes Display 3250?1 3,250.00 Stores the cost of the computer in R1. 2500?2 2,500.00 Stores the cost of the printer in R2. ; Turns the calculator off.
24 Section 1: Getting Started File name: hp 12c_users guide_English_HDPMBF12E44 Page: 24 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm Later that same day … Keystrokes Display ; 2,500.00 Turns the calculator back on. :1 3,250.00 Recalls the cost of the computer to the display. 6§ 19,500.00Multiplies the quantity ordered to get the cost of the computers. :2 2,500.00 Recalls the cost of the printer to the display. + 22,000.00Total invoice. Clearing Storage Registers To clear a single storage register — that is, to replace the number in it with zero — merely store zero into it. You need not clear a storage register before storing data into it; the storing operation automatically clears the register before the data is stored. To clear all storage registers at once — including the financial registers, the stack registers, and the LAST X register — press f CLEARH . * This also clears the display. All storage registers are also cleared when Continuous Memory is reset (as described on page 70). Storage Register Arithmetic Suppose you wanted to perform an arithmetic operation with the number in the display and the number in a storage register, then store the result back into the same register without altering the number in the display. The hp 12c enables you to do all this in a single operation: 1. Press ?. 2. Press +, -, §, or z to specify the desired operation. 3. Key in the register number. When storage register arithmetic is performed, the new number in the register is determined according to the following rule: * CLEARH is not programmable.
Section 1: Getting Started 25 File name: hp 12c_users guide_English_HDPMBF12E44 Page: 25 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm Storage register arithmetic is possible with only registers R0 through R4. Example: In the example on page 20, we updated the balance in your checkbook. Let’s suppose that because data is stored indefinitely in your calculator’s Continuous Memory, you keep track of your checking account balance in the calculator. You could use storage register arithmetic to quickly update the balance after depositing or writing checks. Keystrokes Display 58.33?0 58.33 Stores the current balance in register R 0. 22.95?-0 22.95 Subtracts the first check from the balance in R 0. Note that the display continues to show the amount subtracted; the answer is placed only in R 0. 13.70?-0 13.70 Subtracts the second check. 10.14?-0 10.14 Subtracts the third check. 1053?+0 1,053.00 Adds the deposit. :0 1,064.54 Recalls the number in R0 to check the new balance.
26 File name: hp 12c_users guide_English_HDPMBF12E44 Page: 26 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm Section 2 Percentage and Calendar Functions Percentage Functions The hp 12c includes three keys for solving percentage problems: b , à , and Z . You don’t need to convert percentages to their decimal equivalents; this is done automatically when you press any of these keys. Thus, 4% need not be changed to 0.04; you key it in the way you see and say it: 4b . Pe rc e n t a g e s To find the amount corresponding to a percentage of a number: 1. Key in the base number. 2. Press \. 3. Key in the percentage. 4. Press b. For example, to find 14% of $300: Keystrokes Display 300 300. Keys in the base number. \ 300.00 Pressing \ separates the next number entered from the first number, just as when an ordinary arithmetic calculation is performed. 14 14. Keys in the percentage. b 42.00 Calculates the amount. If the base number is already in the display as a result of a previous calculation, you should not press \ before keying in the percentage — just as in a chain arithmetic calculation.
Section 2: Percentage and Calendar Functions 27 File name: hp 12c_users guide_English_HDPMBF12E44 Page: 27 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm Net Amount A net amount — that is, the base amount plus or minus the percentage amount — can be calculated easily with your hp 12c, since the calculator holds the base amount inside after you calculate a percentage amount. To calculate a net amount, simply calculate the percentage amount, then press = or - . Example: You’re buying a new car that lists for $13,250. The dealer offers you a discount of 8%, and the sales tax is 6%. Find the amount the dealer is charging you, then find the total cost to you, including tax. Keystrokes Display 13250\ 13,250.00Keys in the base amount and separates it from the percentage. 8b 1,060.00 Amount of discount. - 12,190.00Base amount less discount. 6b 731.40 Amount of tax (on $12,190). = 12,921.40Total cost: base amount less discount plus tax. Percent Difference To find the percent difference between two numbers: 1. Key in the base number. 2. Press \ to separate the other number from the base number. 3. Key in the other number. 4. Press à. If the other number is greater than the base number, the percent difference will be positive. If the other number is less than the base number, the percent difference will be negative. Therefore, a positive answer indicates an increase, while a negative answer indicates a decrease. If you are calculating a percent difference over time, the base number is typically the amount occurring first. Example: Yesterday your stock fell from 58 1/2 to 531/4 per share. What is the percent change? Keystrokes Display 58.5\ 58.50 Keys in the base number and separates it from the other number. 53.25 53.25 Keys in the other number. à –8.97 Nearly a 9% decrease.
28 Section 2: Percentage and Calendar Functions File name: hp 12c_users guide_English_HDPMBF12E44 Page: 28 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm The à key can be used for calculations of the percent difference between a wholesale cost and a retail cost. If the base number entered is the wholesale cost, the percent difference is called the markup; if the base number entered is the retail cost, the percent difference is called the margin. Examples of markup and margin calculations are included in the hp 12c Solutions Handbook. Pe rc e n t of To t a l To calculate what percentage one number is of another: 1. Calculate the total amount by adding the individual amounts, just as in a chain arithmetic calculation. 2. Key in the number whose percentage equivalent you wish to find. 3. Press Z. Example: Last month, your company posted sales of $3.92 million in the U.S., $2.36 million in Europe, and $1.67 million in the rest of the world. What percentage of the total sales occurred in Europe? Keystrokes Display 3.92\ 3.92 Keys in the first number and separates it from the second. 2.36+ 6.28 Adds the second number. 1.67+ 7.95 Adds the third number to get the total. 2.36 2.36 Keys in 2.36 to find what percentage it is of the number in the display. Z 29.69 Europe had nearly 30% of the total sales. The hp 12c holds the total amount inside after a percent of total is calculated. Therefore, to calculate what percentage another amount is of the total: 1. Clear the display by pressing O. 2. Key in that amount. 3. Press Z again. For example, to calculate what percent of the total sales in the preceding example occurred in the U.S. and what percent occurred in the rest of the world: Keystrokes Display O3.92Z 49.31 The U.S. had about 49% of the total sales. O1.67 Z 21.01 The rest of the world had about 21% of the total sales.
Section 2: Percentage and Calendar Functions 29 File name: hp 12c_users guide_English_HDPMBF12E44 Page: 29 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm To find what percentage a number is of a total, when you already know the total number: 1. Key in the total number. 2. Press \ to separate the other number from the total number. 3. Key in the number whose percentage equivalent you wish to find. 4. Press Z. For example, if you already knew in the preceding example that the total sales were $7.95 million and you wanted to find what percentage of that total occurred in Europe: Keystrokes Display 7.95\ 7.95 Keys in the total amount and separates it from the next number. 2.36 2.36 Keys in 2.36 to find what percentage it is of the number in the display. Z 29.69 Europe had nearly 30% of the total sales. Calendar Functions The calendar functions provided by the hp 12c — D and Ò — can handle dates from October 15, 1582 through November 25, 4046. Date Format For each of the calendar functions — and also for bond calculations (E and S ) — the calculator uses one of two date formats. The date format is used to interpret dates when they are keyed into the calculator as well as for displaying dates. Month-Day-Year. To set the date format to month-day-year, press gÕ . To key in a date with this format in effect: 1. Key in the one or two digits of the month. 2. Press the decimal point key (.). 3. Key in the two digits of the day. 4. Key in the four digits of the year. Dates are displayed in the same format. For example, to key in April 7, 2004: Keystrokes Display 4.072004 4.072004
30 Section 2: Percentage and Calendar Functions File name: hp 12c_users guide_English_HDPMBF12E44 Page: 30 of 209 Printered Date: 2005/7/29 Dimension: 14.8 cm x 21 cm Day-Month-Year. To set the date format to day-month-year, press gÔ . To key in a date with this format in effect: 1. Key in the one or two digits of the day. 2. Press the decimal point key (.). 3. Key in the two digits of the month. 4. Key in the four digits of the year. For example, to key in 7 April, 2004: Keystrokes Display 7.042004 7.042004 When the date format is set to day-month-year, the D.MY status indicator in the display is lit. If D.MY is not lit, the date format is set to month-day-year. The date format remains set to what you last specified until you change it; it is not reset each time the calculator is turned on. However, if Continuous Memory is reset, the date format is set to month-day-year. Future or Past Dates To determine the date and day that is a given number of days from a given date: 1. Key in the given date and press \. 2. Key in the number of days. 3. If the other date is in the past, press Þ. 4. Press gD. The answer calculated by the D function is displayed in a special format. The numbers of the month, day, and year (or day, month, and year) are separated by digit separators, and the digit at the right of the displayed answer indicates the day of the week: 1 for Monday through 7 for Sunday. * Example: If you purchased a 120-day option on a piece of land on 14 May 2004, what would be the expiration date? Assume that you normally express dates in the day-month-year format. Keystrokes Display gÔ 7.04 Sets date format to day-month-year. (Display shown assumes date remains from preceding example. The full date is not now displayed because the display format is set to show only two decimal places, as described in Section 5.) * The day of the week indicated by the D function may differ from that recorded in history for dates when the Julian calendar was in use. The Julian calendar was standard in England and its colonies until September 14, 1752, when they switched to the Gregorian calendar. Other countries adopted the Gregorian calendar at various times.