Number Systems‚ Base Conversions‚ and Computer Data Representation Decimal and Binary Numbers When we write decimal (base 10) numbers‚ we use a positional notation system. Each digit is multiplied by an appropriate power of 10 depending on its position in the number: For example: 843 = 8 x 102 + 4 x 101 + 3 x 100 = 8 x 100 + 4 x 10 + 3 x 1 = 800 + 40 + 3 For whole numbers‚ the rightmost digit position is the one’s position (100 = 1). The numeral in that position indicates how many ones
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should be able to: – Identify the different number base system – Convert base ten numbers to base two‚ eight or sixteen – Convert base two‚ eight or sixteen numbers to base ten – Perform basic operations on various base numbers Number Base • What is a number base? A number base is a specific collection of symbols on which a number system can be built. • The number base familiar to us is base 10‚ upon which the decimal number system is built. There are ten symbols - 0 to 9 - used in
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operates only in two digits 1 and 0. Hence‚ our ordinary decimal number system consisting ten digits (0-9) do not suits the data representation of CPU. It works with simple binary system. BINARY NUMBER SYSTEM It uses two symbols or digits i.e. 0 and 1. And all the symbol‚ Arithmetic number etc. are represents in the form of 0’s and 1’s. And ordinary decimal number can be converted to its binary form in the following manner- Ques: Convert (45) 10 to its Binary equivalent 2 45 2 22 1 2
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network connection? i. Ping – Packet Internet Groper I. The ping command uses a series of echo requests‚ and the networking device receiving the echo requests responds with a series of echo replies to test a network connection. 17. Convert the
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Introduction | 3 | | 4.1 | Decimal System | 5 | | 4.2 | Binary System | 6 | | 4.3 | Hexadecimal System | 7 | | 4.4 | Octal system | 8 | 5. | Algorithms | 9 | 6. | Solved Examples | 14 | 7. | Programs | 18 | 8. | Advantages | 36 | 9. | Applications | 37 | 10. | References | 37 | | | | | TITLE: CONVERSION OF NUMBER SYSTEMS SUBTITLE: 1. Conversion of binary to decimal number system 2. Conversion of octal to decimal number system 3. Conversion
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We begin with the base five system‚ which requires just five distinct symbols‚ 0‚ 1‚ 2‚ 3‚ and 4. Table 4 compares base five and decimal (base ten) numerals for the whole numbers 0 through 30. Notice that‚ while the base five system uses fewer distinct symbols‚ it sometimes requires more digits to denote the same number. EXAMPLE 1 Convert 1342 five to decimal
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given set‚ using digits or other symbols in a consistent manner. It can be seen as the context that allows the symbols "11" to be interpreted as the binary symbol for three‚ the decimal symbol for eleven‚ or a symbol for other numbers in different bases. Equivalent Numbers in Decimal‚ Binary and Hexadecimal Notation: Decimal Binary Hexadecimal 0 00000000 00 1 00000001 01 2 00000010 02 3 00000011 03 4 00000100 04 5 00000101 05 6 00000110 06 7 00000111
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1. Identify the following elements associated with the preparation of a programmable logic controller program.(assessment criteria 3.1) a. Statement list b. Function diagrams c. Graphical programming languages Solution: - In PLC statement list: - This is a textual programming language this can be used to generate the code section of logic blocks in PLC program preparation. Its syntax for statements is similar to assembler language and consists of instruction followed by addressed on which on the
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NUMBER SYSTEMS TUTORIAL Courtesy of: thevbprogrammer.com Number Systems Number Systems Concepts The study of number systems is useful to the student of computing due to the fact that number systems other than the familiar decimal (base 10) number system are used in the computer field. Digital computers internally use the binary (base 2) number system to represent data and perform arithmetic calculations. The binary number system is very efficient for computers‚ but not for humans. Representing
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Batangas State University College of Engineering‚ Architecture‚ Fine Arts and Computing Sciences Gov. Pablo Borbon Campus II‚ Alangilan‚ Batangas City‚ Philippines 4200 In partial fulfillment of requirements in Software Engineering Software Requirements Specification NUMBER SYSTEMS CALCULATOR AND CONVERTER Presented by: Colico‚ Janine Erika R. Atendido‚ Mylene B. Atienza‚ Marianne C. BSIT-3201 To: Mr. Melvin Asa February‚ 2013 TABLE OF CONTENTS I. Introduction
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