HP Solve: Issue 26 (January 2012)
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13054-Duodecimal.Pdf
Universal Multiple-Octet Coded Character Set International Organization for Standardization Organisation Internationale de Normalisation Международная организация по стандартизации Doc Type: Working Group Document Title: Proposal to encode Duodecimal Digit Forms in the UCS Author: Karl Pentzlin Status: Individual Contribution Action: For consideration by JTC1/SC2/WG2 and UTC Date: 2013-03-30 1. Introduction The duodecimal system (also called dozenal) is a positional numbering system using 12 as its base, similar to the well-known decimal (base 10) and hexadecimal (base 16) systems. Thus, it needs 12 digits, instead of ten digits like the decimal system. It is used by teachers to explain the decimal system by comparing it to an alternative, by hobbyists (see e.g. fig. 1), and by propagators who claim it being superior to the decimal system (mostly because thirds can be expressed by a finite number of digits in a "duodecimal point" presentation). • Besides mathematical and hobbyist publications, the duodecimal system has appeared as subject in the press (see e.g. [Bellos 2012] in the English newspaper "The Guardian" from 2012-12-12, where the lack of types to represent these digits correctly is explicitly stated). Such examples emphasize the need of the encoding of the digit forms proposed here. While it is common practice to represent the extra six digits needed for the hexadecimal system by the uppercase Latin capital letters A,B.C,D,E,F, there is no such established convention regarding the duodecimal system. Some proponents use the Latin letters T and E as the first letters of the English names of "ten" and "eleven" (which obviously is directly perceivable only for English speakers). -
Calculating Numerical Roots = = 1.37480222744
#10 in Fundamentals of Applied Math Series Calculating Numerical Roots Richard J. Nelson Introduction – What is a root? Do you recognize this number(1)? 1.41421 35623 73095 04880 16887 24209 69807 85696 71875 37694 80731 76679 73799 07324 78462 10703 88503 87534 32764 15727 35013 84623 09122 97024 92483 60558 50737 21264 41214 97099 93583 14132 22665 92750 55927 55799 95050 11527 82060 57147 01095 59971 60597 02745 34596 86201 47285 17418 64088 91986 09552 32923 04843 08714 32145 08397 62603 62799 52514 07989 68725 33965 46331 80882 96406 20615 25835 Fig. 1 - HP35s √ key. 23950 54745 75028 77599 61729 83557 52203 37531 85701 13543 74603 40849 … If you have had any math classes you have probably run into this number and you should recognize it as the square root of two, . The square root of a number, n, is that value when multiplied by itself equals n. 2 x 2 = 4 and = 2. Calculating the square root of the number is the inverse operation of squaring that number = n. The "√" symbol is called the "radical" symbol or "check mark." MS Word has the radical symbol, √, but we often use it with a line across the top. This is called the "vinculum" circa 12th century. The expression " (2)" is read as "root n", "radical n", or "the square root of n". The vinculum extends over the number to make it inclusive e.g. Most HP calculators have the square root key as a primary key as shown in Fig. 1 because it is used so much. Roots and Powers Numbers may be raised to any power (y, multiplied by itself x times) and the inverse operation, taking the root, may be expressed as shown below. -
The Hexadecimal Number System and Memory Addressing
C5537_App C_1107_03/16/2005 APPENDIX C The Hexadecimal Number System and Memory Addressing nderstanding the number system and the coding system that computers use to U store data and communicate with each other is fundamental to understanding how computers work. Early attempts to invent an electronic computing device met with disappointing results as long as inventors tried to use the decimal number sys- tem, with the digits 0–9. Then John Atanasoff proposed using a coding system that expressed everything in terms of different sequences of only two numerals: one repre- sented by the presence of a charge and one represented by the absence of a charge. The numbering system that can be supported by the expression of only two numerals is called base 2, or binary; it was invented by Ada Lovelace many years before, using the numerals 0 and 1. Under Atanasoff’s design, all numbers and other characters would be converted to this binary number system, and all storage, comparisons, and arithmetic would be done using it. Even today, this is one of the basic principles of computers. Every character or number entered into a computer is first converted into a series of 0s and 1s. Many coding schemes and techniques have been invented to manipulate these 0s and 1s, called bits for binary digits. The most widespread binary coding scheme for microcomputers, which is recog- nized as the microcomputer standard, is called ASCII (American Standard Code for Information Interchange). (Appendix B lists the binary code for the basic 127- character set.) In ASCII, each character is assigned an 8-bit code called a byte. -
Calculating Solutions Powered by HP Learn More
Issue 29, October 2012 Calculating solutions powered by HP These donations will go towards the advancement of education solutions for students worldwide. Learn more Gary Tenzer, a real estate investment banker from Los Angeles, has used HP calculators throughout his career in and outside of the office. Customer corner Richard J. Nelson Learn about what was discussed at the 39th Hewlett-Packard Handheld Conference (HHC) dedicated to HP calculators, held in Nashville, TN on September 22-23, 2012. Read more Palmer Hanson By using previously published data on calculating the digits of Pi, Palmer describes how this data is fit using a power function fit, linear fit and a weighted data power function fit. Check it out Richard J. Nelson Explore nine examples of measuring the current drawn by a calculator--a difficult measurement because of the requirement of inserting a meter into the power supply circuit. Learn more Namir Shammas Learn about the HP models that provide solver support and the scan range method of a multi-root solver. Read more Learn more about current articles and feedback from the latest Solve newsletter including a new One Minute Marvels and HP user community news. Read more Richard J. Nelson What do solutions of third degree equations, electrical impedance, electro-magnetic fields, light beams, and the imaginary unit have in common? Find out in this month's math review series. Explore now Welcome to the twenty-ninth edition of the HP Solve Download the PDF newsletter. Learn calculation concepts, get advice to help you version of articles succeed in the office or the classroom, and be the first to find out about new HP calculating solutions and special offers. -
2 1 2 = 30 60 and 1
Math 153 Spring 2010 R. Schultz SOLUTIONS TO EXERCISES FROM math153exercises01.pdf As usual, \Burton" refers to the Seventh Edition of the course text by Burton (the page numbers for the Sixth Edition may be off slightly). Problems from Burton, p. 28 3. The fraction 1=6 is equal to 10=60 and therefore the sexagesimal expression is 0;10. To find the expansion for 1=9 we need to solve 1=9 = x=60. By elementary algebra this means 2 9x = 60 or x = 6 3 . Thus 6 2 1 6 40 1 x = + = + 60 3 · 60 60 60 · 60 which yields the sexagsimal expression 0; 10; 40 for 1/9. Finding the expression for 1/5 just amounts to writing this as 12/60, so the form here is 0;12. 1 1 30 To find 1=24 we again write 1=24 = x=60 and solve for x to get x = 2 2 . Now 2 = 60 and therefore we can proceed as in the second example to conclude that the sexagesimal form for 1/24 is 0;2,30. 1 One proceeds similarly for 1/40, solving 1=40 = x=60 to get x = 1 2 . Much as in the preceding discussion this yields the form 0;1,30. Finally, the same method leads to the equation 5=12 = x=60, which implies that 5/12 has the sexagesimal form 0;25. 4. We shall only rewrite these in standard base 10 fractional notation. The answers are in the back of Burton. (a) The sexagesimal number 1,23,45 is equal to 1 3600 + 23 60 + 45. -
HP Scientific Calculators Which One Is Right for You?
HP Calculators HP Scientific Calculators Which one is right for you? HP Scientific calculators are equipped with easy-to-use problem solving tools, enhanced capabilities and customized options, plus award-winning HP support. When choosing the right scientific calculator, make sure to purchase the one that best fits your needs. Use the comparison chart below to compare HP scientific calculator models. HP 10s+ HP 300s+ HP 35s Perfect for Students in middle and high school Students in middle and high school University students and technical professionals Key Characteristics User-friendly design, easy-to-read display Sophisticated calculator with easy-to-read Professional performance featuring RPN* and a wide range of algebraic, trigonometric, 4-line display, unit conversions as well mode, keystroke programming, the HP Solve** probability and statistics functions. as algebraic, trigonometric, logarithmic, application as well as algebraic, trigonometric, probability and statistics functions. logarithmic and statistics functions, Calculation Mode(s) Algebraic Algebraic Algebraic and RPN Display Size 2 lines x 12 characters, linear display 4 lines x 15 characters, linear display 2 lines , 14 characters, linear display Built-in Functions 240+ 315+ 100+ Size (L x W x D) 5.79 x 3.04 x 0.59 in 5.79 x 3.04 x 0.59 in 6.22 x 3.23 x 0.72 in Subject Suitability General mathematics, Arithmetic, Algebra, General mathematics, Arithmetic, Algebra, Mathematics geared towards Engineering, Trigonometry, Statistics probability Trigonometry, Statistics, Probability Surveying, Science, Medicine Additional Features Solar power plus a battery backup, decimal/ Table-based statistics data editor, solar 800 storage registers, physical constants, hexadecimal conversions, nine memory power plus a battery backup, integer division, unit conversions, adjustable contrast display, registers, slide-on protective cover. -
HP Solve Calculating Solutions Powered by HP
MHT mock-up file || Software created by 21TORR Page 1 of 2 HP Solve Calculating solutions powered by HP » HP Lesson Plan Sweepstakes for Issue 20 teachers! August 2010 Teacher Experience Exchange is a free resource for teachers that offers discussion Welcome to the forums, lesson plans, and professional twentieth edition development tutorials. Visit the site and of the HP Solve upload your own lesson plan for a chance to newsletter. Learn win an HP Mini PC in our weekly drawing. calculation concepts, get advice to help you Your articles succeed in the office or the classroom, and be the first to find out about new HP calculating solutions and special offers. » Download the PDF version of newsletter articles. » Next generation financial » SmartCalc 300s Scientific calculator NOW AVAILABLE Calculator available for a » Contact the editor HP Announces its most limited time innovative calculator to date: Math and science students will From the Editor the 30B Business appreciate the logical, Professional. Available at accurate, and dependable HP Office Depot USA and Staples SmartCalc 300s Scientific Europe while supplies last. Calculator now available at Staples in the USA through September (while supplies last) and at several retailers in Europe. As HP Solve grows, the current structure will adapt as well. Learn more about current » RPN Tip #20 » Come Join Us At The HHC articles and feedback Gene Wright 2010 HP Handhelds from the latest Solve newsletter. 20 Useful Tips for the 30b Conference! Jake Schwartz Business Professional. This Learn more » article gives RPN user tips and Jake, official historian of HP helps explain differences Handheld Calculator Customer Corner between an RPL-based Conferences, provides his machine and a legacy RPN unique perspective and » Meet an HP machine. -
Introduction to UIL High School Calculator Applications Contest
Introduction to UIL High School Calculator Applications Contest Andy Zapata Azle High School Andy Zapata Azle ISD – 1974 to present Azle HS – Physics teacher Married – 4 children & 2 grandchildren Co-founded Texas Math and Science Coaches Association (TMSCA) Current president of TMSCA Coached all 4 UIL math & science events + slide rule Current UIL Elem/JH number sense, mathematics and calculator consultant [email protected] The Calculator Applications Contest is exactly what the title of the contest implies. It is not a mathematics contest where proofs of geometry or algebra theorems are worked out; it is not a typing contest where the fastest button pusher always has the superior score. It is a contest where engineering type problems are solved. I am not an engineer, but I know a few people that do engineering work, and the ability to use the calculator as a tool to solve; or least begin the problem solving process is very important. But I will also be the first to tell you that the problem topics covered in these contest papers cover finance problems, navigation problems, exponential and compound growth and decay problem, problems involving probability and problems involving calculus that go beyond the averaging processes that occur when calculus cannot be used. If you have students that are curious and competitive, they like math and they like to solve problems; then here is a great opportunity for them to flourish and learn more about the problem solving process than they would normally learn in the high school math program. In 1982 I moved up from teaching seventh grade math to teaching a few classes of physics and different math classes until there were enough students taking physics so that I could have all my classes be physics classes. -
HP 35S Quick Start Guide English EN F2215-90201 Edition 1 V 4.Book
HP 35s Scientific Calculator Quick Start Guide Edition 1 HP part number: F2215-90201 Legal Notices This manual and any examples contained herein are provided "as is" and are subject to change without notice. Hewlett-Packard Company makes no warranty of any kind with regard to this manual, including, but not limited to, the implied warranties of merchantability, non-infringement and fitness for a particular purpose. In this regard, HP shall not be liable for technical or editorial errors or omissions contained in the manual. Hewlett-Packard Company shall not be liable for any errors or for incidental or consequential damages in connection with the furnishing, performance, or use of this manual or the examples contained herein. Copyright © 2008 Hewlett-Packard Development Company, L.P. Reproduction, adaptation, or translation of this manual is prohibited without prior written permission of Hewlett-Packard Company, except as allowed under the copyright laws. Hewlett-Packard Company 16399 West Bernardo Drive San Diego, CA 92127-1899 USA Printing History Edition 1, version 4, Copyright December 2008 Table of Contents Welcome to your HP 35s Scientific Calculator ........................ 1 Turning the Calculator On and Off ........................................ 2 Adjusting Display Contrast.................................................... 2 Keyboard ........................................................................... 3 Alpha Keys ......................................................................... 4 Cursor Keys ....................................................................... -
Binary, Quaternary, Octary, Denary and Hexadecimal Number Systems Yue Kwok Choy
Binary, Quaternary, Octary, Denary and Hexadecimal number systems Yue Kwok Choy There are some methods of handling various number system not described in the textbook. (1) Binary →→→ Denary Rule : Start for the right-most digit, multiply by 2 and add to adjacent digit on its left. Continue to do this until the left-most digit. e.g. Change 101101(2) to denary system. (1) 1 × 2 + 0 = 2 (2) 2 × 2 + 1 = 5 (3) 5 × 2 + 1 = 11 (4) 11 × 2 + 0 = 22 (5) 22 × 2 + 1 = 45 ∴ 101101 (2) = 45 (10) (2) Quaternary →→→ Denary Rule : Start for the right-most digit, multiply by 4 and add to adjacent digit on its left. Continue to do this until the left-most digit. e.g. Change 13201 (4) to denary system. (1) 1 × 4 + 3 = 7 (2) 7 × 4 + 2 = 30 (3) 30 × 4 + 0 = 120 (4) 120 × 4 + 1 = 481 ∴ 13201 (4) = 481 (10) (3) Octary →→→ Denary Rule : Start for the right-most digit, multiply by 8 and add to adjacent digit on its left. Continue to do this until the left-most digit. e.g. Change 13746 (8) to denary system. (1) 1 × 8 + 3 = 11 (2) 11 × 8 + 7 = 95 (3) 95 × 8 + 4 = 764 (4) 764 × 8 + 6 = 6118 ∴ 13746 (8) = 6118 (10) (4) Hexadecimal →→→ Denary Rule : Start for the right-most digit, multiply by 16 and add to adjacent digit on its left. Continue to do this until the left-most digit. 1 e.g. Change A2D7(16) to denary system. (1) 10 × 16 + 2 = 162 (Note : A (16) = 10 (10) ) (2) 162 × 16 + 13 = 2605 (Note : D (16) = 13 (10) ) (3) 2605 × 16 + 7 = 41687 ∴ A2D7 (16) = 41687 (10) (5) Binary →→→ Quaternary Rule : Starting from the left-most, divide the binary number into groups of two digits. -
HP Calculator Programming Richard J
HP Calculator Programming Richard J. Nelson Introduction Do you use an HP calculator that has a programming capability, and do you actually use it? Of the 24 models, see Table 1 below, 23 are on the HP website 13, or 54.2%, are programmable. If the Home and Office machines are omitted, the numbers are: 17 models, and 13 or 76.5%, are programmable. What does this mean? A program is a sequence of instructions (functions and/or data) that are keyed (or loaded) into the calculator’s memory that will solve a particular problem or provide specific information. A program capability also includes special instructions that provide prompting for inputs and labeling for outputs. Another aspect of a program capability is the ability to perform decision logic so the particular parts of a program may be changed depending on the results of previous instructions. This capability provides “intelligence” to the program. The program capability of the 10 current models ranges from very simple such as the HP-12C to very complex (and very powerful) such as the HP 50g. Older HP calculators such as the HP-71B or HP-75C used a computer like programming language called BASIC. The HP-12C and HP-15C programing language is an RPN FOCAL(1) like language, and the HP 50g uses an RPL programming language. The algebraic calculators use what may be called an Aplet programming language. Table 1 – Current HP Calculator Products (24) # Financial Calculators Scientific & Graphing Home & Office 1 HP 10bII HP 10s HP Calcpad 100 2 HP 10bII+ HP-15C Limited Edition HP CalcPad 200 3 HP 20b HP 33s OfficeCalc 100 4 HP 30b HP 35s OfficeCalc 200 5 HP-12C HP 39gs OfficeCalc 300 6 HP-12C 30th Anniversary HP 39gII PrintCalc 100 7 HP-17bII+ HP 40gs QuickCalc 8 HP 48gII 9 HP 50g 10 SmartCalc HP 300s 5 of 7 = 71% programmable 8 of 10 = 80% programmable None programmable Note: Programmable calculators are in blue. -
Digital Computers Masterclass: Extra Background Information
Digital Computers Masterclass: Extra Background Information Finger counting and number systems Historically, fingers have always been used for counting, and it is the basis of our decimal number system that a standard pair of human hands has 10 fingers. Other systems historically, including the vigesimal system used by the Ancient Mayans, have used base 20 which is a multiple of 10. Counting on your fingers can be achieved in many ways - as well as the standard systems shown on the first slide (the ‘thumb first’ system is claimed to be widespread in continental Europe, while starting with the index finger is supposedly more popular in the UK and North America, although there is variation everywhere), there exist many other finger counting systems. In Japan, zero is represented by an open palm, and fingers are counted inwards for 1-5 and then out again for 6-10 on the same hand. Chinese systems also allow counting up to 10 on one hand, while counting in binary (as described in the workshop) allows you to count to over 1000 on your fingers. The Ancient Mesopotamians developed a system of finger counting using the left thumb to point to different parts of the right hand - 1 at the tip of the little finger, then 2 and 3 for the other sections of that finger, and 4 starting at the top of the ring finger and so on. The other hand is used to store groups of 12, up to a maximum of 60 on two hands. This is suspected to be the origin of our current 60-minute/12-hour clock system.