PPT-Data Representation – Binary Numbers

  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. This number representation uses 4 bits to store each digit from 0 to 9 For example 1999 10 0001 1001 1001 1001 in BCD BCD wastes storage space since 4 bits are used to store 10 combinations rather than the maximum possible 16 BCD is often used in b 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 Computer Organization . and Architecture. 9. th. Edition. Chapter. 10. Computer. Arithmetic. Arithmetic & Logic . Unit (ALU). Part of the computer that actually performs arithmetic and logical operations on data. Binary . Representation for Numbers. Assume 4-bit numbers. 5 as an integer. 0101. -5 as an integer. How?. 5.0 . as a . real number. How?. What about 5.5?. Sign Bit. R. eserve the most-significant bit to indicate sign. 350151 – Digital Circuit 1. Choopan. . Rattanapoka. Representing Negative Numbers in Binary. Up to this point, we have not been discussed how to represent negative numbers in binary.. Ex: 5. 10. – 7. Data . Representation in. Computer . Systems. Lecture Duration: 2 Hours. Lecture Overview. Introduction. Positional Numbering . System. Decimal to binary conversion. Signed integer representation. Floating-point . Binary . Representation for Numbers. Assume 4-bit numbers. 5 as an integer. 0101. -5 as an integer. How?. 5.0 . as a . real number. How?. What about 5.5?. Sign Bit. R. eserve the most-significant bit to indicate sign. The arithmetic used by computers differs in some ways from that used by people.. Computers perform operations on numbers with finite and fixed precision.. Computers use the binary rather than the decimal system for representing numbers.. Review. Homework due on Friday. Questions. Binary. Addition. Subtraction. Encoding. Outline. Two’s complement. Excess notation. Floating point format. Two’s complement. Similar to one’s complement. 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. &. Binary to Denary. Chapter . 4 . Data Representation. Units. Bit – 1 bit. Nibble – 4 bits. Byte – 8 bits. Kilobyte – 1024 bytes or 1024x8 bits. Megabyte – 1024 kilobytes. Gigabyte – 1024 megabytes. Instructor: Teaching Assistants:. Justin Hsia Kathryn Chan, Kevin Bi, Ryan Wong, Waylon Huang, . Xinyu. Sui. Police seek Amazon Echo data in murder . case. Amazon's.  Echo devices and its virtual assistant are meant to help find answers by listening for your voice commands. However, police in Arkansas want to know if one of the gadgets overheard something that can help with a murder case. C021TV-I1-S1 ICN : 1. Binary coding 1. Data representation as bits 2. Store images or sounds 3. Compression 4. Data organisation 5. Database Why code information? Various and heterogenous