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.

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Presentation transcript:

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 use binary

WHAT IS BINARY?  A number system that uses two digits, 0 and 1  (Base 2 = 0 & 1)  (Base 10 = 0,1,2,3,4,5,6,7,8 & 9)

A BIT  A bit is a digit in a binary number  It can be either 1 or 0

BINARY NUMBERS 0001  The number above includes 4 bits  Each bit is worth a different value  They work from right to left  In the number, 0 = 8 0 = 4 0 = 2 1 = 1

BINARY TO DENARY CONVERSION  Denary is a regular number. Eg 8  To convert a binary number into denary, you add up the value of each bit and there you have your result  1011 =

QUESTION ANSWERS  1010 = 10  0011 = 3  1001 = 9  1111 = 15  = 18  = 187

DENARY TO BINARY CONVERSION  This is the opposite of binary to denary  This is where you are given a denary number and you need to convert it in to binary  Eg. 22  22 – 16 (10000) = 6 6 – 4 (10100) = 2 – 2 (10110) = 0  22 = 10110

QUESTION ANSWERS  13 – 8 = 5 – 4 = 1 – 1 = 0 (1101)  7 – 4 = 3 -2 = 1 – 1 = 0 (111)  29 – 16 = 13 – 8 = 5 – 4 = 1 -1 = 0 (11101)  42 – 32 = = 2 -2 = 0 (10101)  62 – 32 = 30 – 16 = 14 – 8 = 6 – 4 = 2 – 2 = 0 (111110)  200 – 128 = 72 – 64 = 8 – 8 = 0 ( )

DEFINITIONS  Bit – Binary Digit  Nibble – 4 Bit Binary Number  Byte – 8 Bit Binary Number  Kilobyte – 10 Bit Binary Number  Megabyte – 20 Bit Binary Number  Gigabyte – 30 Bit Binary Number  Terabyte – 40 Bit Binary Number

HOW IS BINARY USED?  Binary is used to represent all types of data in a computer  For example, Colours  Colours are made up of Red, Green and Blue  Each of these colours are a byte  The combination of these three bytes will give you a huge range of colours to choose from

RESEARCH TASK  I need to find out how binary represents the following three areas:  Images  Sound  Text

HOW BINARY IS USED TO REPRESENT IMAGES  The pictures are made up of pixels, each with an 8-bit number representing a certain shade (Out of 256)

HEXADECIMAL DenaryBinaryHexDenaryBinaryHex A B C D E F C = F5 =

HEXADECIMAL QUESTIONS DenBinHex

HOW TO ADD IT UP 70(16) = = (10) = = 46 To Binary: ( ) Then add all together To Hexidecimal: ( )Every 4 bits = 1 Digit EG: = = 15