PDF-Number Systems Base Conversions and Computer Data Representation Decimal and Binary Numbers

Each digit is multiplied by an appropriate power of 10 depending on its position in the number For example 843 8 x 10 4 x 10 3 x 10 8 x 100 4 x 10 3 x 1 800 40 3 For whole numbers the rightmost digit position is the ones position 10 1 The. 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 Binary Systems. Humans. Decimal Numbers (base 10). Sign-Magnitude (-324). Decimal Fractions (23.27). Letters for text. Computers. Binary Numbers (base 2). Two’s complement and sign-magnitude. Binary fractions and floating point. Converting. Decimal to Binary. Binary to Decimal. Base-Ten Place-Value System. The sleek efficient number system we know today is called the base-ten number system or Hindu-Arabic system. It was first developed by the Hindus and Arabs. This used the best features from several of the systems we mentioned before.. Binary Numbers. Digital electronic circuitry using logic gates. Base-2 number system using two symbols: 0 & 1. A positional notation system with base (radix) of 2. Different Number Systems. Positional number . The Hindu-Arabic Number System. What are the powers of 10 for the place value of numbers between 0 & 1?. INTRODUCTION TO BASE 2. The Binary Number System. BINARY TO BASE . 10. 101010 in base 2 is ____ in base 10. Data . Representation in. Computer . Systems. Lecture Duration: 2 Hours. Lecture Overview. Introduction. Positional Numbering . System. Decimal to binary conversion. Signed integer representation. Floating-point . ICS 6D. Sandy . Irani. Number representation. Our number system represents numbers in base 10 (also called decimal notation). Each place represents a power of 10:. 3045 = . 3. ·. 10. 3. + . 0. ·. 350151- Digital Circuit. Choopan. . Rattanapoka. Introduction. Many number systems are in use in digital technology. The most common are :. Decimal (Base 10). Binary (Base 2). Octal (Base 8). Hexadecimal (Base 16). 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. © 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. 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:. Power . Exponential Notation. A short hand of writing a number with out changing its Value. It only changes the way it looks.. * . . . . .  . X10. #. x10. - #. Number gets larger . 4. 3. 2. 1. 0. In addition to 3, student will be able to go above and beyond by applying what they know about working with . integer . exponents..  .  .  .  .  . The student will be able to work with . .