PPT-Binary Representation

Binary Representation for Numbers Assume 4bit numbers 5 as an integer 0101 5 as an integer How 50 as a real number How What about 55 Sign Bit R eserve the mostsignificant bit to indicate sign. 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 Data . Representation in. Computer . Systems. Lecture Duration: 2 Hours. Lecture Overview. Introduction. Positional Numbering . System. Decimal to binary conversion. Signed integer representation. Floating-point . CS 46101 Section 600. CS 56101 Section 002. . Dr. Angela Guercio. Spring 2010. Search trees. Data structures that support many dynamic-set operations.. Can . be used as both a dictionary and as a priority queue.. Non-binary gender. Non-binary . gender is an umbrella term covering any gender identity or expression that does not fit within the gender binary. The label may also be used by individuals wishing to identify as falling outside of the gender binary without being any more specific about the nature of their gender.. . 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 . vine rst second Representation Heads Modiers Representation Heads Modiers Representation Heads Modiers Representation Heads Modiers First-OrderFeatureCalculation ArcLengthByPart-of-Speech ArcLeng 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. ·.  . Integer Conversion Between Decimal and Binary Bases. Task accomplished by. Repeated . division . of decimal number by 2 (integer part of decimal number). – Repeated . multiplication . of decimal number by 2 (fractional part of decimal number). 1. Numbering Systems. Radix. - In mathematical numeral systems, the . radix. or . base. is the number of unique digits, including zero, that a positional numeral system uses to represent numbers. . The down-low on what’s going on with all those 1’s and 0’s inside a computer. Your standard numerical system. In order to understand what binary is, you’ll have to understand first, what it is not. It uses a different . 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. Decimal. . vs. Binary. = 1001. = 101. = 10. 1 = on =. 0 = off = . On and off. Creating a decimal number 
from a binary number. STAGE 1. The decimal number is ________. Creating decimal 
from binary. 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.. 6. 9. 2. 4. 1. 8. <. >. =. © 2014 Goodrich, Tamassia, Goldwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6. th. edition. , by M. T. Goodrich, R. Tamassia, and M. H. Goldwasser, Wiley, 2014.