Binary Numbers. Base 10 and Base 2  We normally work with numbers in base 10.  In base 10 we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.  Everything.

Slides:



Advertisements
Similar presentations
Computer Basics Binary Bits & Bytes
Advertisements

Data Representation. Units & Prefixes Review kilo, mega, and giga are different in binary! bit (b) – binary digit Byte (B) – 8 binary digits KiloByte.
Chapter 4: Representation of data in computer systems
Base 10 Denary Decimal
Micro optics: Fibers and Butterflies. Total internal reflection.
Processing Data.
assumes basic arithmetic
Binary Aim: Explain binary and binary units Objective 1: Convert positive denary whole numbers (0-255) into 8-bit binary numbers and vice versa Objective.
CREATED BY, MS. JENNIFER DUKE BITS, BYTES, AND UNITS OF MEASUREMENT.
Communications Technology 2104 Mercedes Lahey. Bit 1. bit=From a shortening of the words “binary digit” 2. the basic unit of information for computers.
Communications technology Ali Kennedy.  Bit= from a shortening of the words “ bi nary digit”  The basic unit ofinformation for computers  1 or 0 are.
Computer Logic Distinction between analogue and discrete processes and quantities. Conversion of analogue quantities to digital form. Using sampling techniques.
Memory Terminology & Data Representation CSCI 1060 Fall 2006.
Computer Systems Chapter 1 Pages Hardware-physical pieces Key hardware components in a computer system: The physical parts. – Central processing.
Data Representation A series of eight bits is called a byte. A byte can be used to represent a number or a character. As you’ll see in the following table,
 Explain the function of ASCII code  Describe the unit of data measurement: Bit, Bait, KB, MB, GB, TB  Describe the unit of clock speed Megahertz and.
What do computers know?  All they really know is on or off.  Kind of like a light switch  Computers aren’t nearly as smart as you are!
OBJECTIVES  Explain why a computer represents data in the form of binary  Explain the terms related to data storage: bit, byte, character, word  Calculate.
Computer Systems Nat 4/5 Computing Science Data Representation Lesson 2: Floating Point Representation.
1 3 Computing System Fundamentals 3.2 Computer Architecture.
Introduction to computers 103 學年度 上學期 Solution of Homework_ch1 授課教授:李錫智.
CS 104 Introduction to Computer Science and Graphics Problems Data Representation(1) Number Systems 09/12 ~ 09/16 /2008 Yang Song (Prepared by Yang Song.
Do it now activity Can you work out what the missing symbols are and work out the order they should be in if the table shows smallest to largest KB kilobyte.
Working with 8-bit bytes and hexadecimal
How We Measure Memory. Learning Goal Today we are going to learn how the computer stores information.
Networking for Home and Small Businesses –.  Explain the binary representation of data.
Computers - The Journey Inside continues…
How We Measure Memory. At the Bottom of things A piece of digital information is always stored as a sequence of binary states. What’s that mean you ask???
Computer Math CPS120: Binary Representations. Binary computers have storage units called binary digits or bits: Low Voltage = 0 High Voltage = 1 all bits.
2.1.4 Data Representation Units.
Know what a computer is used for Understand the difference between hardware and software Be able to describe the way that data is stored in a computer.
* Numeral Systems: A writing method for expressing numbers is called a “Numeral System". In the most common numeral system, we write numbers with combinations.
Unit C-Hardware & Software1 GNVQ Foundation Unit C Bits & Bytes.
Units Representation of Data in Computer Systems.
BINARY Toby Wilson. LEARNING OBJECTIVES  Be able to convert binary to denary  Be able to convert denary into binary  Be able to explain how computers.
Binary Decimal Hexadecimal
Lesson Aim (Data representation) To be able to: Convert B/D & D/B Convert D/H & H/D Convert H/B & B/H Perform simple binary arithmetic Represent a number.
Number Systems Part 2. Counting in Binary DecimalBinary
File types and storage. Primary and Secondary storage  Primary – built into the computer, the computers memory capacity  RAM – random access memory.
Understanding Computers
Binary a. express numbers in binary, binary-coded decimal (BCD), octal and hexadecimal;
Bits & Bytes Why computers use binary. Analog Signals Analog signals : constantly changing values – Difficult to make precise.
Numerical Representation Intro to Computer Science CS1510 Dr. Sarah Diesburg 1.
© OCR 2016 Unit 2.6 Data Representation Lesson 1 ‒ Numbers.
Unit 2.6 Data Representation Lesson 1 ‒ Numbers
Understanding binary Understanding Computers.
Computer basics.
© 2003, Cisco Systems, Inc. All rights reserved.
Consider this number: , Ones (7 ones) Tens (no tens)
Numerical Representation
Memory Parts of a computer
What is Binary? Binary is a two-digit (Base-2) numerical system, which computers use to process and store data. The reason computers use the binary system.
Representation of data in computer systems
Unit 2.6 Data Representation Lesson 1 ‒ Numbers
Lecture 3 ISE101: Computing Fundamentals
Data Representation Numbers
How do computers work? Storage.
Numerical Representation
Data Compression.
Summer Term Year 10 Slides
Bits, Bytes, and Storage.
(return of the…) Data blast
Numerical Representation
Bits and Bytes Key Revision Points.
Why computers use binary
Binary System.
AS Level ICT Selection and use of storage requirements, media, and devices: storage and storage capacity Unit 1 Topic a - Selection and use of storage.
Technology 3 Bits & Bytes.
Computer Systems Nat 4/5 Computing Science Data Representation
Numerical Representation
Presentation transcript:

Binary Numbers

Base 10 and Base 2  We normally work with numbers in base 10.  In base 10 we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.  Everything inside your computer is stored as binary also called base 2.  In base 2 we use only the digits 0 and 1.  Everything inside your computer is stored as binary (1s and 0s):  Text  Pictures  Songs etc.

Base 10 Number Example:  In base 10 we use a system of place values as shown below:

Binary Numbers  To start with, we will be using 2^8 (8 bit) binary numbers.  In base 2 we use a system of place values as shown below:

Binary Number Example:  The easiest method of converting base 10 numbers into binary numbers is by using a table:  =

Binary Questions  Convert the following binary numbers to base 10:    = = = 102

Converting Binary  Convert the following base 10 numbers into binary numbers: 33  11  = = =

Units of Measure  A group of 8 bits is called a Byte.  Other units of measure include:  Nibble - 4 bits (half a byte)  Byte - 8 bits  Kilobyte (KB) bytes (or 1024 x 8 bits)  Megabyte (MB) kilobytes (or bytes)  Gigabyte (GB) megabytes  Terabyte (TB) gigabytes