Math principle
- 2. Section 1.1 p2 Math concepts are used as part of many jobs in manufacturing and engineering. While many calculations are performed by automation tools or by using calculators, it is important to understand concepts that are related to mathematics in electronics. Objectives In this section you will learn to: - Define counting systems and measurement systems used in electronics - Select correct expressions of scientificnotation - Identify measurement units used inelectronics Section Introduction
- 3. Section 1.1 p3 Outline This lesson has three sections: Counting and Measurement Systems, Scientific Notation, and Units of Measurement and Conversions. There are three primary counting systems used in electronics: The decimal system, the binary system and the hexadecimal system. There are four commonly used measuring systems: Systems International, Metric, UK and US. Video: https://www.youtube.com/watch?v=LpuPe81bc2w Section Introduction
- 4. Section 1.1 p4 Decimal System We use the ten digits 0-9 and calculate in factors of 10. For example, the number 529 could be represented as such: 5 hundreds 2 tens 9 ones Define counting systems and measurement system units
- 5. Section 1.1 p5 Binary System The Binary System of numeration is the simplest of all positional number systems. The base of the binary system is 2, which means that only two digits - 0 and 1 - may appear in a binary representation of any number. Define counting systems and measurement system units
- 6. Section 1.1 p6 Computers and Binary Code This number sequence is the basis for understanding computer logic. It will appear over-and-over. For example, computer memory(RAM) comes in chip sizes of: 1, 2, 4, 8, 16, 32, 64, 128, and 256. There are many different ways that binary numbers are represented at the computer's level. Define counting systems and measurement system units
- 7. Section 1.1 p7 Hexadecimal System A hexadecimal system means counting from one to fifteen, with the sixteenth number represented as the two digit number "10". In the hexadecimal system, the numbers "10," "11," "12," "13," "14," "15" are symbolized as "A," "B," "C," "D," "E," "F"; this means the numbers ten to fifteen under the decimal system can be characterized by onesingle digit under the hexadecimal system. Define counting systems and measurement system units
- 8. Section 1.1 p8 A comparison of counting systems: Define counting systems and measurement system units
- 9. Section 1.1 p9 Hexadecimal Color Attributes The hexadecimal system is used for any color attribute. For example, the color blue is expressed like this: <BODY BGCOLOR=#0000FF> The pound sign means the following numbers represent a color Define counting systems and measurement system units
- 10. Section 1.1 p10 Quick Quiz
- 11. Section 1.1 p11 Quick Quiz
- 12. Section 1.1 p12 International System of Units (SI) Define counting systems and measurement system units
- 13. Section 1.1 p13 Metric System of Measurements Define counting systems and measurement system units
- 14. Section 1.1 p14 UK (Imperial) System of Measurements Define counting systems and measurement system units
- 15. Section 1.1 p15 US System of Measurements Define counting systems and measurement system units
- 16. Section 1.1 p16 1. True or False: This question is an example of a binary system if true=1 and false=0. True False 2. Which system represents a base 10 system? A. Hexadecimal B. Decimal C. Binary D. None of the above Question
- 17. Section 1.1 p17 3. Which of the following systems is the most widely used in science and trade? A. US System B. UK System C. Metric and SI D. None of the above Question
- 18. Section 1.1 p18 Scientific notation is a short-hand way of writing very large and very small numbers. Example: if you were measuring mass of the earth without using scientific notation, it would look like this: 5,980,000,000,000,000,000,000,000 kilograms. If you use scientific notation for the same measurement, it would look like this: 5.98 X 10 to the 24th Power kilograms. This translates to 598 with 22 zeros after it. For this number, the 24th power means that the decimal was moved to the right 24 times. Scientific Notation Components
- 19. Section 1.1 p19 Scientific Notation Components
- 20. Section 1.1 p20 1. Select the notation below that represents the correct scientific format for the number 123,000,000,000. A. 12.3 x 10 to the 8th power B. .123 x 10 to the 10th power C. 1.23 x 10 to the 11th power D. 123 x 10 to the 12th power 2. True or False: 0.000001234 is the correct standard notation for the scientific notation of 1.234 x 10 to the -6th power. True False Question
- 21. Section 1.1 p21 1. If you were to multiply 100,000 X 10,000 using exponents, it would be expressed in which exponent equation? A. 10 to the 5th power X 10 to the 4th power = 100 X 10 to the 1st power B. 10 to the 5th power X 10 to the 4th power = 10 to the 9th power C. 10 to the 4th power X 10 to the 5th power = 10 to the 20th power D. 10 to the 3rd power X 10 to the 5th power = 10 to the 15th power 2. True or False: 0.000001234 is the correct standard notation for the scientific notation of 1.234 x 10 to the 6th power. True False Question
- 22. Section 1.1 p22 Quick Quiz
- 23. Section 1.1 p23 Properties and Units Properties are the items being measured. Units are the representation of measurement, and the abbreviation is how the unit is commonly shown in specs, gauges and other communication. Example: a type of property could be land. Land is measured in acres or parcels, which is the unit. The abbreviation on land deeds for parcels is pcl. Units of Measurement and Conversions
- 24. Section 1.1 p24 SI Property Units and Abbreviations Each type of property has a unit of measurement. Each unit has an abbreviation. There are 7 common properties used in electronics that are part of the System International (SI) measurement system. Roll over each bullet below with your mouse see the units of measurement and their abbreviations and an example. - Length - Mass - Time - Electric current - Temperature - Light intensity - Molecular substance Units of Measurement and Conversions
- 25. Section 1.1 p25 Additional Units From the 7 basic units of the SI, other units were derived to measure specific elements of physics and electricity. Roll over each bullet below with your mouse see the SI abbreviations and units. - Capacitance - Frequency - Work - Force - Resistance - Pressure - Electrical potential - Power Units of Measurement and Conversions
- 26. Section 1.1 p26 Temperature Conversions Example Temperature is measured in Degrees Kelvin or K, Centigrade, or C and Fahrenheit or F. The conversion formulas are: K= C+273 F= 9 over 5 C+32 C= 5 over 9 times F-32 Units of Measurement and Conversions
- 27. Section 1.1 p27 Practice Match the correct properties to the corresponding SI units. Units of Measurement and Conversions Capacitance Hertz Force Volt Resistance Newton Frequency Pascal Power Farad Work/Energy Watt Pressure Joule Electrical Potent Ohm
- 28. Section 1.1 p28 Quick Quiz