In the following activities you will practise converting binary numbers to denary numbers, using binary placeholders, sounds, colours and text.

Transcription

1 Topic 4 Base Jumping Objectives Convert from binary to denary Convert from denary to binary Use addition with binary Create and crack binary codes with ASCII Activity 4.1 Get Cracking! (convert binary to denary) In the following activities you will practise converting binary numbers to denary numbers, using binary placeholders, sounds, colours and text. Task A Starter for 10 The denary number system is also referred to as the decimal number system and is what humans use. Computers use a binary number system to process and store information. 1) To get started, try converting the binary numbers below to denary Task B Mind your Language Binary code can be represented as sound, e.g. on and off. Scenario: Interplanetary travel means that Blurb needs to communicate with other beings in a different language to his own. Blurb has been confronted by a peculiar-looking being from another planet who makes rude noises at him. Blurb is convinced that the alien is blowing raspberries at him until he begins to recognise a pattern and sequence in the language. Raspberry! Raspberry!? Raspberry Aid: a raspberry is a 1 and a blank square is 0

2 1) Use your knowledge of binary and the ASCII table to help Blurb crack the message from the alien. Task C Cracking Jokes Now that Blurb can understand the alien, he tries out a (bad) joke on him. 1) See if you can get the answer. What type of crazy bug lives on the moon? A !

3 Task D Optical Illusion Optical storage devices, such as CDs and DVDs, use on/off light to read data. 1) Decode the following tables. The dark squares represent off and the light squares represent on. Work out what the flashing light represents in binary and then find the ASCII code it represents.

4 Task E Mug Shots Binary code can be represented as images or colours (e.g. blank square or square containing image). Scenario Blurb has some passport photos of himself. Blurb lays out the photos with some face up, and some face down. 1) a) Work out the binary code from the pictures below face up represents 1 and face down represents 0 (remember 1 is on and 0 is off). b) Now convert the binary code to denary: c) Now encode the denary number using the ASCII table at the end of this topic. What ASCII character is Blurb displaying?

5 Task F Making Faces Bitmap images are made up of tiny squares or picture elements called pixels. Each pixel can be represented by a colour to make a picture. 1) What picture do you get when you convert the following code to colours? (Black on and white off) Task G Tap into your Potential Binary code can be represented by coloured squares with white as 0 and black as 1. 1) What is the binary code that makes up the picture below? Enter the binary code in the answer box below.

6 Activity 4.2 Number Crunching (convert denary numbers to binary) Denary is the decimal system that humans use this system is called base 10 because there are 10 numbers and it uses the power of 10. The denary system uses 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Task A Become a Convert Denary numbers, such as 0123, need to be converted to binary numbers so that a computer can understand and process them. 1) Convert the denary numbers below to binary ) Convert your age to binary. 3) Convert the age of one of your friends into binary code. Task B Picture This In this task you will convert denary numbers to binary and represent the binary numbers as colours. 1) What picture do you get when you convert the following denary numbers to binary and then colours? (Black on and white off)

7 Task C Alien Race Blurb has devised a race for his friends. They must run a specified distance. Can you work out the distance in km using the binary number (converting binary to denary)? FINISH Task D Beat the Clock Bod s internal chronometer runs faster than human time and he's bored as his class appears to be going very slowly. Bod has another 30 minutes to go. 1) Bod uses binary to store data. Help Bod work out how much time is remaining by converting the denary number 30 into binary.

8 Activity 4.3 Adding Binary To add two denary numbers together we add a number to an existing number. So The binary number for 2 is a 1 and a 0 (10). The binary number for 3 is 11. Task A Sum it Up In the following task you will add binary numbers together. 1) Add the following binary numbers: Task B How to Get Ahead in Robotics There are two parts to this task: first convert measurements to binary and then add two binary numbers together. Scenario: The Automatron needs to repair Bod after his disastrous attempt at base jumping. In order to reassemble him, she needs to know the original height of each part. 1) Work out in binary the measurements shown on the ruler below to help find the measurement of Bod's head including antennae

9 2) Now work out in binary the measurements shown on the ruler below to help find the measurement of Bod's torso and legs ) Now add the two binary measurements shown to find Bod's total height. Task C Eye Robot Scenario: Orb is a school class monitor. He's got his eye on Bod. Orb also has an eye in the back of his head. 1) How many eyes does Orb have? Convert this number to binary The school has employed another class monitor. This monitor has one eye. In binary that's ) Add this binary number to the previous number to work out how many eyes will be following Bod's progress

10 Task D Beat the Clock 2 Add together the binary numbers representing the time remaining and the minutes already spent in class to find the duration of the class (your answer must be in binary format). 30 minutes minutes Task E Go with the Overflow In the following task you will work with overflow errors. 1) Add the two binary numbers below do you get an overflow error? Yes No 2) Overflow errors can occur when adding binary numbers. Tick the box below which correctly explains why overflow errors happen. a b c d Overflow errors occur when the result contains fewer digits than the numbers being added together Overflow errors occur when denary numbers are added together Overflow errors occur when the result contains more digits than the numbers being added together Overflow errors only occur when eight binary digits are added together 3) Tick the statement that best describes what can happen when an overflow error occurs. a b c d The computer will work normally with no incorrect answers The computer may crash but answers will always be correct The overflow error may result in an incorrect answer and the computer may crash Overflow errors can cause viruses to enter a computer system

11 ASCII Character Set Common Printable Characters BINARY DECIMAL CHARACTER Space ! " # $ % & ' ( ) * , / : ;

12 Common Printable Characters BINARY DECIMAL CHARACTER < > ? A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ' a b c

13 Common Printable Characters BINARY DECIMAL CHARACTER d e f g h i j k l m n o p q r s t u v w x y z { } ~ DEL

14 Blank Grids