powerpoint presentation on binary number system

Presentation Transcript. Introduction • Binary is a base-2 number system. • This means that each digit can only be one of two values (0-1). • Standard Decimal is a base-10 number system (0-9). • Binary numbers are used in computer circuits because transistors can only be on (1) or off (0). • A single digit in binary is called a bit.

Positional Notation. Binary Numbers The base in a Binary system is 2. There are only 2 digits - 0 and 1. Since we use the term frequently, "binary digit" can be shortened to 'bit'. 8 bits together form a byte. A Single Byte 2726252423222120 128 64 32 16 8 4 2 1 1 1 1 1 1 1 1 1 128 +64 +32 +16 +8 +4 + 2 + 1 =255.

I. 2 Outline of Chapter 1 ⬜ 1.1 Digital Systems ⬜ 1.2 Binary Numbers ⬜ 1.3 Number-base Conversions ⬜ 1.4 Octal and Hexadecimal Numbers ⬜ 1.5 Complements ⬜ 1.6 Signed Binary Numbers ⬜ 1.7 Binary Codes ⬜ 1.8 Binary Storage and Registers ⬜ 1.9 Binary Logic 3 Digital Systems and Binary Numbers ⬜ Digital age and information age ...

Binary-to-Decimal Conversion To convert a binary number follow the steps: 1. 2. 3. Multiply each binary number with 2 having the power 0 for last position, starting from the right digit. Increase the power one by one, with base as 2.

Download ppt "THE BINARY SYSTEM." HOW A COMPUTER STORES DATA A computer is an information-processing machine that works by converting all kinds of information into binary numbers (1s and 0s). A computer treats any type of information (numbers, letters, words, etc.) as if it consisted simply of binary ones and zeros.

Bridging the Digital Divide Binary Number System Digital Electronics 2.1 Introduction to AOI Logic Decimal-to-Binary Conversion Introductory Slide / Overview of Presentation Explain that humans use base ten (or decimal), because we have ten fingers and that digital electronics uses base-two (binary) because it only understands two states; ON and OFF. For students to be able to analyze and ...

Presentation Transcript. THE BINARY NUMBER SYSTEM. Binary Numbers. Ex. 1: The decimal number 14 is represented in binary as: Ex. 2: The decimal number 353 is represented in binary as: Ex.3: The decimal number 251 is represented in binary as. Fractions • Numbers smaller than 1 are represented using negative powers of 2.

Administrative Stuff The Labs Start Next Week The Labs Start Next Week PowerPoint Presentation The Decimal System What number system is this one? The Binary System Number Systems Number Systems Number Systems The Decimal System The Decimal System Another Way to Look at This Another Way to Look at This Another Way to Look at This Base 7 Base 7 ...

Introduction A set of values used to represent different quantities For example, a number student can be used to represent the number of students in the class Digital computer represent all kinds of data and information in binary numbers Includes audio, graphics, video, text and numbers Total number of digits used in the number system is called its base or radix

The representation of numbers is essential for the digital logic design. In this chapter, positional number systems (decimal, binary, octal, hexadecimal), BCD and Gray codes are presented together with the rules for the conversion between numbers encoded in different bases and the representations of negative numbers.

The Binary Number System The binary number system is also a positional numbering system. Instead of using ten digits, 0 - 9, the binary system uses only two digits, 0 and 1. Example of a binary number and the values of the positions: 1001 101 26 25 24 23 22 21 20. Converting from Binary to Decimal 101 26 25 24 23 22 21 20 20 1 21 = 2 25 = 32 22 ...

Introduction to Number Systems. An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Download presentation by click this link.

hope you like this video subscribe to my channel previous video https://youtu.be/oxU9PXKlHNs

Binary Number System • The binary number system is also a positional numbering system. • Instead of using ten digits, 0 - 9, the binary system uses only two digits, 0 and 1. Binary Number System • The binary number system is also known as base 2. The values of the positions are calculated by taking 2 to some power.

View Binary Number System PPTs online, safely and virus-free! Many are downloadable. Learn new and interesting things. Get ideas for your own presentations. Share yours for free!

Decimal or Human Number System Binary Number System Hexadecimal Number System. 2.07k views • 65 slides. Binary System. Binary System. Common terms might describe file size or memory size: Bit : smallest unit of information Byte : a grouping of eight bits of information K : (kilobyte); 1024 bytes equals 1K of storage. Bits, Bytes.

ECE 2560. Binary number system. Department of Electrical and Computer Engineering The Ohio State University. Today. Number systems To and from base 10 Addition Subtraction (made easy) Multiplication THIS LECTURE IS REVIEW MATERIAL. We live in a base 10 world.