Manual / Guide
TI-36X Solar Guidebook
Texas Instruments' guidebook for the TI-36X Solar engineering calculator, the TI-36X Pro's predecessor.
Manual / Guide
Texas Instruments' guidebook for the TI-36X Solar engineering calculator, the TI-36X Pro's predecessor.
STL/INO/VX0E sjudluN}su] SEXE] 8661 © a Jaideg-Buljofoey yne pjonupey, SPULHOUION EYL-IY9AIN DO ZS Z01 Gempsopeyiny >> "NG puelloH syuewnysu] sexe, LSZSZ XL ‘sere uq seuueg 0082 ‘V'S'N sjuawNysu] sexeL «B'S Wy TEXAS INSTRUMENTS TI-36X Solar, English www.ti.com/calc [email protected] <<. 287” —_____» TI-36X SOLAR Scientific Calculator Basic Operations . 2 Results ........ 2 Basic Arithmetic 3 Percents .. 4 Fractions. . 5 Powers and Roots 6 Logarithmic Functions . 6 Angle Units 7 DMS...... 8 Rectangular to Polar g Polar to Rectangular . . . 9 Trigonometric Functions . - 10 Hyperbolic Functions .. . 10 One-Variable Statistics. 1 Two-Variable Statistics. . 13 Probability... - 15 Clearing and C 9 16 Physical Constants . ... . 17 English/Metric Conversions . 18 Constants (Repeated Operations) . 19 Memory - 20 Order of Operations. ... . 24 Number-System Modes . 22 Boolean Logic Operations . 24 Notation.......... - 25 Display Indicators. - 26 Error Conditions . . . 27 In Case of Difficulty . . 28 TI Product, Service, and Warranty Information . 29 © 1997 Texas Instruments Incorporated TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 1 of 29 Basic Operations + To turn on the TI-36X Solar, expose the solar panel to light and press [AC/ON). Note: Always press IN) to clear the calculator because memory and display may contain incorrect numbers. + To turn off the TI-36X Solar, cover the solar panel with the slide case. selects the 2nd function of the next key pressed. selects the 3rd function of the next key pressed. Third function x Second function Primary function For example, 8 [{x] finds the cube root of 8. To cancel 2nd or 3rd, press or again. The TI-36X Solar calculates up to 12 digits and can display up to 10 digits plus a minus sign (-9,999,999,999 through 9,999,999,999) and a 2-digit exponent. Results with more than 10 digits display in scientific notation. TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 2 of 29 Owe 5) 126) 120. 3} Completes all pending operations. With constant, repeats the operation and value. Changes sign of value just entered. 1 125) 5. octal, or hexadecimal calculates the 2's complement of the number in the display. Parenthetical expression (up to 15 open for each pending operation). E) closes all open parentheses. [x] Piis calculated with 12 digits (3.14159265359), displayed with 10 digits (3.141592654). 2 [n]E)__ 6.283185307 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 3 of 29 Percentage (5% of 250) 250 [x] 5 [ara] [°%] 0.05 8 12.5 Ratio (Ratio of 250 to 5) 250 E) 5 [ara] [*%] 0.05 8 5000. Add-On (5% add-on of 250) 250 (Hy 5 (ard) [%4] 125 fe) 262.5 Discount (5% discount on 250) 250) 5 [ard] [°%] 125 8 237.5 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 4 of 29 b c Enters a proper or improper fraction, b/c (b < 6 digits, c < 3 digits). When possible, improper fractions are displayed as mixed numbers. 3.4 2.144 Single-variable functions display decimal results. 1 (abé) 2 2) 0.25 a(abé] b[ab<}c Enters the mixed fraction a b/c. (a, b, ¢ < 3 digits each, with the total digits < 8). 6 6 64.6 ie 6-213 [a/c] Toggles display between mixed number and improper fraction. 30.4 7-112 1512 7-112 [F<>0] Toggles display between fraction and decimal. Note: Due to display size, not all decimal numbers can toggle to fractions. 55 [abe] 24 55.124 [Fo] 2.291666667 d) [F<>0] 2.7124 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 5 of 29 1.185258765 2.280428117 10°] E) 10 2) =) 0. 15.3; 2.729159164 12.45 (CN) =) 5.250879787 Te] 693 (2nd) [e*] 1.999705661 16 2.999705661 (e=2.71828182846) TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 6 of 29 [DRG] Cycles angle-unit setting between degrees, radians, and grads without affecting the displayed number. [pRe»] Cycles (converts) angle-unit setting between degrees, radians, and grads for display, entry, and calculation. DEG 45 RAD 0.785398163 GRAD 50. DEG 45. TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 7 of 29 Enter DMS (Degrees/Minutes/Seconds) values as D.MMSSs, using 0s as necessary: D degrees (0-7 digits) . decimal-point separator MM minutes (must be 2 digits) ss seconds (must be 2 digits) s fractional part of a second For example, enter 48°5'3.5" as 48.05035. Before using a DMS value in a calculation, you must convert it to decimal with [po]. Ppp] Interprets display as DMS and converts it to decimal 30.09090 bpp] 30.1525 Poms] Temporarily displays current value as DMS. 30.1525 >oms] 30°09'09"0 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 8 of 29 ctangular to Polar [R>P] converts rectangular coordinates (7,2) to polar coordinates (7,8). Convert rectangular coordinates (10,8) to polar. [DRG] (ifnecessary) DEG DEG 8 >P] (display r) DEGr 12.80624847 ) DEG 38.65980825 ?) DEGr 12.80624847 Polar to Rectangular [P>R] converts polar coordinates (7,8) to rectangular coordinates (2,y). Convert polar coordinates (5,30) to rectangular. [DRG] (ifnecessary) DEG 30 DEG 30 >] (display x) DEGx 4.330127019 isplay 4) DEG 25 (display 2x) DEGx 4.330127019 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 9 of 29 EG, DEG DEG 1. 30 DEG 0.866025404 el DEG —_0.133974596 1 [sin-] DEG 90. 656) DEG 89.5 Note: Before using a DMS (Degree/Minute/Second) value in a calculation, you must convert it to decimal with bop]. Hyperbolic Functions To access hyperbolic functions, pres: the function ( and then AN-]). Note: DEG, RAD, Or GRAD does not affect hyperbolic calculations. 74.20321058 76.20321058 2.312438341 4.312438341 10 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 10 of 29 One-variable statistics mode. Clears all statistical data. Clears all statistical data, stat mode, and memory. Enters data point. Removes data point. Adds or removes multiple occurrences of a data point. Enter data point, press luency (1-99), press [z-] to remove data points. Sum of squares. Mean. Population standard deviation (n weighting). [oxn-] Sample standard deviation (n-1 weighting). [n] Number of data points. In stat mode press [=] to perform basic arithmetic, permutations, combinations, and polar/rectangular conversions. 11 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 11 of 29 Find the sum, mean, population standard deviation, and sample standard deviation for the data set: 45, 55, 55, 55, 60, 80. The last data point is erroneously entered as 8, removed with [=-], and then correctly entered as 80. STAT 0. STAT 0. STAT 1. STAT 4. STAT 5. STAT 6. STAT 5. STAT 6. STAT 350. J (mean) STAT 58.33333333 x2] (sum of squares) STAT 21100. xn] (n weighting) stat 10.67187373 (2nd) [oxn-1] (n-1 weighting) STAT 11.69045194 12 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 12 of 29 Two-variable statistics mode. Clears all statistical data. Clears all statistical data, stat mode, and memory. Enters data point. Removes data point. Adds or removes multiple occurrences of a data point. Enter data point, press [Fra], enter frequency (1-99), press to add or [z-] to remove data points. Sum. Sum of squares. Mean. Population standard deviation (n weighting). Sample standard deviation (n-1 weighting). Number of data points. Sum of the wy products. Correlation coefficient. Intercept. Slope. Predicted a value. Predicted y value. 13 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 13 of 29 For trend-line analysis, enter 1st data point, and then enter just y values with [£+). x is automatically incremented by 1. Linear Regression Example Predict y for x = 9, given (4,5), (4,5), (9,9), (2,3). Calculate correlation coefficient, slope, and intercept of the line, mean of a values, and mean of y values. [stat 2] STAT 0. SR] STAT 0. 5 [FRO] 2 (£4) STAT 2. STAT 3. STAT 4. [y] (predict y for v=9) STAT 9.074766355 OR] (correlation coefficient) stat 0.998030525 LP] (slope) sTAT 0.841121495 TC] (intercept) STAT 1.504672897 J (mean of a values) STAT 4.75 J] (mean of a values) STAT 5.5 14 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 14 of 29 Probability A combination is an arrangement of objects in which order is not important, as in a hand of cards. (3 calculates the number of possible combinations of n items taken r at a time. Calculate the number of 5-card poker hands that can be dealt from a deck of 52 cards. 52 Pew) 5 (Sra) [nr] (=) 2598960. A permutation is an arrangement of objects in which the order is important, as in a race. 2nd) [nPr] calculates the number of possible permutations of n items taken 7 at a time. Calculate the number of possible permutations for the 1st-, 2nd-, and 3rd-place finishers (no ties) in an 8-horse race. 8 bry] 3 {nPr] (=) 336. A factorial is the product of the positive integers from 1 to n. (n must be a positive whole number < 69.) Using the digits 1, 3, 7, and 9 only one time each, how many 4-digit numbers can you form? 4 [x] 24, 15 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 15 of 29 Clearing and Correcting Clears display, errors, all pending operations, statistical data, stat mode and memory. Sets DEG angle units, floating-decimal format. Clears value (before pressing operation key), display, errors, all pending operations. Does not affect mode, display format, angle units, memory, or statistical data. or €) clears the calculator as if \d pressed [CI Clears display and all pending operations. Deletes right-most character in display. Clears memory n. Clears sci or ENG notation. Clears Fix notation. [csr] Clears all statistical data. You can change from y*, ¥v, x, +, +, -, AND, OR, XOR, or XNOR to another operation simply by pressing the intended key if the intended operation has a lower priority. 16 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 16 of 29 Physical Constants c speed of light 299,792,458 meters per second g gravitational 9.80665 meters per second? acceleration m, electronmass —_9.1093897x 10°°" kilograms e electroncharge —_1.60217733x 10-9 coulombs h Planck's constant 6.6260755x 10-4 Joule seconds Ng Avogadro's number 6.0221367x 1023 molecules per mole R_ ideal gas constant 8.31451 Joules per mole °Kelvin G_ universal 6.67259 x 10-1! Newton gravitation meters? per kilogram? Press [const] and then the appropriate constant key. Calculate 3 times the speed of light: 3 {consT] (c) E) 899377374, 17 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 17 of 29 English/Metric Conversions English/metric conversions are available only in DEC. centimeters to inches inches to centimeters liters to U.S. liquid [in] cm = 2.54 [cm] in x 2.54 [gal] | = 3.785411784 gallons U.S. liquid gallons to (rd) [>i] gal x 3.785411784 liters kilograms to pounds Dib] kg + 45359237 mass [Pkg] Ib x.45359237 F] °C x 95 +32 OC] (°F 32) x 5/9 Por] g = 28.349523125 pounds to kilograms Celsius to Fahrenheit Fahrenheit to Celsius grams to ounces avoirdupois ounces avoirdupois to Po] oz x 28349523125 grams Convert 300 grams to ounces. 300 (ana) 07] 10.58218858 18 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 18 of 29 Constants (Repeated O ions) A constant contains an operation (+, -, x, +, %, WV, AND, OR, XOR, or XNOR) and a value. [=] repeats the calculation. [At , or a pending operation key clears the constant. Calculate 2 x m, 4 x m, and 8 x 7. 2 7) &) 6.283185307 45) 12.56637061 ae) 25.13274123 19 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 19 of 29 The TI-36X Solar has 3 memories. When a memory contains a number other than 0, m displays. To clear a single memory, press 0 (STO) 1, 0 (STO) 2, or 0 (STO) 3. N) clears all three memories. n Stores displayed value in memory 7, replacing current value. M 23. M 25. RCL] 2 Recalls value in memory n. (continued) 1 M 23. 38) M 26. [sum] n Adds displayed value to memory 7. M 4. M 27. [exc] n — Exchanges displayed and memory values. (continued) M 15. M 27. M 15. 20 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 20 of 29 ist Expressions inside parentheses. 2nd Trigonometric, hyperbolic, square, square root, cube root, factorial, reciprocal, angle conversion, combinations, permutations, percent, logarithms, change sign, metric conversions, logical NOT. 3rd Universal powers and roots. 4th Multiplication and division. Sth Addition and subtraction. 6th Logical AND. 7th Logical OR, XOR, XNOR. 8th E) completes all operations. The TI-36X Solar uses the Algebraic Operating System (AOS™). It stores up to 4 pending operations (1 if stat is displayed). 21 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 21 of 29 Number-System Modes EC] Selects decimal mode. [BIN] Selects binary (BIN) mode and converts the integer portion of the displayed number. You can enter positive binary numbers as large as 111111111 (9 digits). Numbers beyond this are interpreted as negative (2’s complement) numbers. [oct] Selects octal (oct) mode and converts the integer portion of the displayed number. You can enter positive octal numbers as large as 3777777777. Numbers beyond this are interpreted as negative (2’s complement) numbers. [HEX] Selects hexadecimal (pec) mode and converts the integer portion of the displayed number. You can enter positive hexadecimal numbers as large as 2540BE3FF. Numbers from FDABF41C01 through FFFFFFFFFF are interpreted as negative (2's complement) numbers. Note: Hexadecimal numbers between 2540BE3FF and FDABF41C01 are equivalent to decimal values that are outside the range of the calculator and therefore cause an error. Calculate 16+1 and display in each number mode. 16H) 1E) 17. IN] BIN 10001 CT] oct 21 EX] HEX 11 [DEC] 17. 22 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 22 of 29 To enter the hexadecimal digits A through F, use the keys shown below. B and D are shown as uppercase letters on the keyboard, but displayed as lowercase b and d. If you enter ABCD, for example, the display shows AbCd. To display the 2's complement of the number in the display, press (4/5). 23 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 23 of 29 Boolean Logic Operations You can perform logical AND, OR, XOR, XNOR, and NOT operations in the decimal, binary, octal, and hexadecimal modes. Except for NOT, these functions compare the corresponding bits of two values. The result is displayed in the current number base. Note: Although the TI-36X Solar does not display leading zeros for integers, logical operations treat each value as a 10-digit binary number. (A displayed value of 0, for example, is treated as 0000000000BN, and a displayed value of 1 is treated as 0000000001 Bin.) Keep this in mind if you see unexpected results. AND 0 AND 0=0 O AND 1=0 1AND1=1 OR OOR0=0 OOR1=1 10R1=1 XOR 0 XOR0=0 0XOR1=1 1XOR1=0 XNOR OXNORO=1 OXNOR1=0 1XNOR1=1 NOT NOTO=1 NOT 1=0 What is the binary result of 9FHEX XOR O1HEX? EX] HEX 0 [xor] 1 =] HEX 9E BIN] BIN 10011110 24 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 24 of 29 [sci] Selects scientific notation. 12345 &) 12345, {sci} 1.2345 %4 [enc] Selects engineering notation (exponent is a multiple of 3). (continued) [ene] 12.345 % [FLO] Restores standard notation (floating- decimal) format. [FIX] m — Sets decimal places to n (0-9), retaining notation format. (continued) FX 26) 12.35 8 [Fix] 4) 12.3450 8 Removes fixed-decimal setting. Enters exponent. You can enter a value in floating-decimal, fixed- decimal, or scientific notation, regardless of display format. Display format affects only results. To enter a number in scientific notation: 1. Enter up to 10 dig negative, press (+/ 2. Press (EE). 3. Enter 1 or 2 digit exponent. If negative, press either before or after entering exponent. for base (mantissa). If after entering the mantissa. 71.2345 -65 25 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 25 of 29 splay Indicators 2nd Calculator will access 2nd function (printed on top half of key) of next key pressed. 3rd Calculator will access 3rd function (printed above key) of next key pressed. M Value other than 0 in memory. HYP Calculator will access hyperbolic function of next key pressed. BIN, OCT, or Calculator is in binary, octal, or HEX hexadecimal number mode. STAT Calculator is in 1-variable or 2-variable statistics mode. DEG, RAD, or Specifies angle-unit setting (degrees, GRAD radians, or grads). When you turn on the calculator, angle units are degrees. x c-coordinate of polar to rectangular conversion. r r-coordinate of rectangular to polar conversion. Q 1 or more open parentheses. 26 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 26 of 29 When Error appears in the display, the calculator will not accept a keyboard entry until you press to C Clear the error condition. condition and all pending operations.) General errors Result larger than +9.999999999 x 10%. Division by zero. More than 15 open parentheses or 4 pending Operations (1 in star). Log, In, or 1/x of 0. Log, In, or /x of a < 0. Even root of a negative number. 0 to the Oth power, or Oth root of any number. Rectangular to polar when x or y has an exponent > 63. Tan of w = 90°, -90°, 270°, -270°, 450°, etc. Sin“ or cos" of x where |x| > 1. Tant of x where |x| > 1. x! where a is not a positive integer < 69. Combinations or permutations when n and r are not positive integers. 27 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 27 of 29 Statistical errors + Data value x such that |a| > 1 x 1.0664. (e-]. * X,Y, oxn, oyn, oxn-1, oyn-1, correlation, intercept, slope, x’, or y' with no data values or oxn-1 with one data value. + Removing the only data value with (2 + Correlation, intercept, slope, x’, or y' of a vertical line. + Correlation or x' of a horizontal line. + Correlation, slope, intercept, x’, or y' with only one data point. Number mode errors + Result outside range for that number mode. + Selecting BIN, OCT, or HEX when displayed number is outside range for that number mode. In Case fficulty + Ifthe display is blank, expose the solar panel to adequate light. Press IN) and try again. + Review the operating instructions. 28 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 28 of 29 TI Product, Service, and Warranty Information TI Product and Services Information For more information about TI products and services, contact Tl by e-mail or visit the TI calculator home page on the world-wide web. e-mail address: [email protected] internet address: http://www.ti.com/calc Service and Warranty Information For information about the length and terms of the warranty or about product service, refer to the warranty statement enclosed with this product or contact your local Texas Instruments retailer/distributor. 29 TI36XSUS.DOC MURFE pruning--US version Pat Hatcher Revised: 06/17/99 4:37 PM_ Printed: 06/17/99 4:37 PM Page 29 of 29