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. 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 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. 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. Principles and Practices. Chapter 2. Number Systems and Codes. 2.1 Positional Number Systems. Counting in Binary. With . n. bits, you can count . from 0 to . 2. n . . – 1. For example, with . four . 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. ·. in . Computer . Systems. Chapter 2. 2. Chapter 2 Objectives. Understand the fundamentals of numerical data representation and manipulation in digital computers.. Master the skill of converting between various radix systems.. CS1313 Spring 2017. 1. Bit Representation Outline. Bit Representation Outline. How Are Integers Represented in Memory?. Decimal Number Representation (Base 10). Decimal (Base 10) Breakdown. Nonal Number Representation (Base 9).  . 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). 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. Computer . Systems. Chapter 2. 2. Chapter 2 Objectives. Understand the fundamentals of numerical data representation and manipulation in digital computers.. Master the skill of converting between various radix systems.. 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.