PPT-Number Systems & Binary

Arithme tic Slides adapted from Dr Wood Univ of Maryland Prof Orr Indiana Univ Encoding Information We use encoding schemes to represent and store information Roman Numerals I IV XL MMIV. brPage 3br Binary numbers Computers work only on two states On Off Basic memory elements hold only two states Zero One Thus a number system with two elements 01 A binary digit bit brPage 4br Decimal numbers 1439 1 x 10 4 x 10 3 x 10 9 x A numbering system (base) is a way to represent numbers, base k dictates. We denote the base by adding k as a subscript at the end of the number as in 1234. 5. for base 5 (we can omit 10 if in base 10). . The Decimal Number System (base-10. ). The . numbering . system we use is called . decimal. ..   It consists of 10 numbers: 0123456789. . It is used by . most. . civilizations today. . In the past, some civilizations . Octal System. L Al-. zaid. Math1101. 1. Octal System. The octal, or base 8, number system is a common system used with computers.. Because of its relationship with the binary system, it is useful in programming some types of computers. . . The Decimal Number System (base-10. ). The . numbering . system we use is called . decimal. ..   It consists of 10 numbers: 0123456789. . It is used by . most. . civilizations today. . In the past, some civilizations . Different number systems . Representation of numbers in binary. Conversion between decimal and binary,. Conversion between binary and hexadecimal. Use of subscripts 2, 10 and 16 for bases. Number Systems . © 2014 Project Lead The Way, Inc.. Digital Electronics. Bridging the Digital Divide. 721. 234. 534. 63. 935. 23. 137. 275. 16. 935. 145. 00100. 0101011. 10101. 010. 10010. 1101. 011011. 1101. 010. 00101101. Unit 1. 2. This chapter in the book includes:. Objectives. Study Guide. 1.1 Digital Systems and Switching Circuits. 1.2 Number Systems and Conversion. 1.3 Binary Arithmetic. 1.4 Representation of Negative Numbers. . The Decimal Number System (base-10. ). The . numbering . system we use is called . decimal. ..   It consists of 10 numbers: 0123456789. . It is used by . most. . civilizations today. . In the past, some civilizations . why used. conversions, including to/from decimal. negative binary numbers. floating point numbers. character codes . Lubomir Bic. 1. Radix Number Systems. basic idea of a radix number system --. how do we count:. What is binary?. You and I write numbers like this: twelve is 12, sixty eight is 68, and one hundred is 100. Binary is a . number system . that computers use. That is, binary is the way that computers express numbers.. Understand and identify a few of the coding systems .. 3. Data and Program Representation. Digital . computers: Can only understand two states, off and on (0 and 1). Digital data . representation. : . 22 August 2013. 2. Contents. Numbering Systems. 1. Binary, Decimal, and Hexadecimal. 2. Conversion between Binary and Decimal. 3. 4. Conversion between Binary and Hexadecimal. 22 August 2013. 3. A Chinese . Senior Lecturer. Department of CSE. Daffodil International University. Learning Objectives. . In this . lecture you . will learn about:. . Non. -positional number system. Positional . number system.