Number Base Relationships F451 AS WBGS How to explain the relationship between binary and Octal/Hex values.

Slides:

Advertisements

Similar presentations

Candidates should be able to:

Advertisements

NUMBER SYSTEM. How to convert hexadecimal numbers to decimal numbers? 230 Working from right to left, MULTIPLY each position with 8 raised to the power.

1 3 Computing System Fundamentals 3.5 Data Representation.

Number System C.I.T. Ch2.5. Denary, Binary, Hexadecimal Number System Denary Number System Ten is it’s base. Ten distinct values :0,1,2,3,4,5,6,7,8,9.

A-Level Computing#BristolMet Session Objectives#8 express numbers in binary, octal and hexadecimal explain the use of code to represent a character set.

Introduction to Computer Engineering by Richard E. Haskell Number Systems Module M3.1 Sections

Number System Conversions Lecture L2.2 Section 2.3.

Binary numbers. 1 Humans count using decimal numbers (base 10) We use 10 units: 0, 1, 2, 3, 4, 5, 6, 7, 8 and (5.

Numbering Systems Decimal (Denary) base 10. Clumsy when dealing with computers. Other systems –Binary –Octal –Hexadecimal Convenient when dealing with.

To make the number 5, place a 1 under the numbers that you need and a 0 under the numbers that you don’t… Make a table like this

A-Level Computing Data representation. Objectives Know how data can be represented in a computer system Understand the need for various forms of representation.

Chapter 2: Binary logic OCR Computing for GCSE © Hodder Education 2011.

Computing Theory – F453 Number Systems. Data in a computer needs to be represented in a format the computer understands. This does not necessarily mean.

Supplemental Chapter Number Bases

Converting From decimal to Binary & Hexadecimal to Binary

Conversions Denary to Binary Method 1

CS 101 – Aug. 31 Interpreting binary  decimal √ Decimal  binary Shorthand ways of expressing binary –Octal –“Hex” Negative numbers.

Working with 8-bit bytes and hexadecimal

Hexadecimal Data Representation. Objectives  Know how the Hexadecimal counting system works  Be able to convert between denary, binary & hexadecimal.

Data Representation Hexadecimal  Although computers work in binary it is sometimes inconvenient for humans to read everything in Binary. For example in.

Teaching Computing to GCSE Level with Python Session 3.

HEXADECIMAL NUMBERS.

Denary (our numbers) Binary

Introduction to Number Representation A451 GCSE Computing.

Computer Studies Today Chapter 19 1 Chapter 19. Computer Studies Today Chapter 19 2 »Information stored in a computer is in two states: –ON –OFF.

Hexadecimal (base 16) BY MAT D. What is hexadecimal  Hexadecimal is a number system like binary or denary that has 16 characters, the numbers 0-9 and.

The Hexadecimal Number System Representation of Data in Computer Systems.

OBJECTIVES 1. Be able to recognise binary code 2. Be able to convert denary numbers into binary numbers 3. Be able to convert binary into denary numbers.

CSC 110 – Intro to Computing Lecture 3: Converting between bases & Arithmetic in other bases.

STARTER – CRACK THE CODE

Chapter 5 NUMBER REPRESENTATION AND ARITHMETIC CIRCUITS.

Conversions 1)Binary to Denary Method 1 Work out the position values of the binary bits and add those values together So above would be

Binary a. express numbers in binary, binary-coded decimal (BCD), octal and hexadecimal;

1 Digital Logic Design (41-135) Chapter 5 Number Representation & Arithmetic Circuits Younglok Kim Dept. of Electrical Engineering Sogang University Spring.

WHAT IS BINARY? Binary is a number system that only uses two digits: 1 and 0. Any information that processed by a computer it is put into sequence of.

Lecturer: Santokh Singh

Introduction to Computing

Computer Organisation

COMPUTER ORGANIZATION

Binary numbers: Week 7 Lesson 1

Positional Notation A positional or place-value notation is a numeral system in which each position is related to the next by a constant multiplier, called.

Using the Windows Calculator for quick decimal to binary conversions

CSE 102 Introduction to Computer Engineering

Lesson objectives Understand how computers represent and manipulate numbers [unsigned integers, signed integers (sign and magnitude, Two’s complement)

Binary, Octal and Hex Numbers Copyright Thaddeus Konar

Binary, Octal and Hex Numbers Copyright Thaddeus Konar

Binary Quiz UIN: ____________________

Data Representation Question: Characters

Principles of Computing – UFCFA Lecture-3

Binary, Octal and Hex Numbers Copyright Thaddeus Konar

Data Representation Revision

Unit 2.6 Data Representation Lesson 1 ‒ Numbers

Hexadecimal Conversions

Network Media, models and number systems

Data Hexadecimal.

Binary, Octal and Hex Numbers Copyright Thaddeus Konar

Lesson 6: End of Unit Assessment

There are 10 types of people of people in this world…

(return of the…) Data blast

Binary Name: Class: .

Lesson 4: Introduction to Hexadecimal

GCSE COMPUTER SCIENCE Topic 3 - Data 3.4 Hexadecimal Conversion.

Remember the 10 types of people of people in this world…

Computer Science 1 Review and finish Number base conversion

Conversion between Systems

Presentation transcript:

Number Base Relationships F451 AS WBGS How to explain the relationship between binary and Octal/Hex values

Binary Number 172 denary into binary 172 denary into binary

Octal Number in denary 172 in denary is 254 in Octal is 254 in Octal 0*0=0 0*0=0 2*64=128 2*64=128 5*8=40 5*8=40 1*4=4 1*4= = =172 0*0=0 0*0=0 2*64=128 2*64=128 5*8=40 5*8=40 1*4=4 1*4= = =

Hex Number in denary 172 in denary is AC in Hex is AC in Hex 0*0=0 0*0=0 10*16=160 (A) 10*16=160 (A) 1*12=12 (C) 1*12=12 (C) = =172 0*0=0 0*0=0 10*16=160 (A) 10*16=160 (A) 1*12=12 (C) 1*12=12 (C) = = A 160 C 12

Explain the relationships between the binary and octal representations of this value Split the binary into 3’s Split the binary into 3’s 100 = = = 1+4=5 101 = 1+4=5 10 = 2 10 = = Octal value 254 = Octal value

Explain the relationships between the binary and Hex representations of this value Split the binary in half Split the binary in half 1100 = 4+8=12 (C) 1100 = 4+8=12 (C) 1010 = 2+8=10 (A) 1010 = 2+8=10 (A) AC = Hex value AC = Hex value