Data Representation and Number Systems notes
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This page gathers GoConqr user-made notes on binary conversion, logic gates and sound. School students can use them to practise data representation and number systems, while teachers can find material for lessons and revision. There are more than 20 notes for school-level study, including GCSE and A-level topics. Pick a note to begin.
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1.3 - Exchanging Data 1.3.1 - Compression, Encryption and Hashing Lossy Compression: Removes non-essential information. The degree at which the file has been compressed comes at the cost of quality. Suitable for images, sound files,...
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Binary Conversion Binary Conversions The Binary Numbering System In everyday life, we normally use a numbering system that is constructed on multiples of ten. We call this numbering system the Base-10 or decimal numbering system. Base-...
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4.5 Fundamentals of data representation Number systems (ℕ) Natural numbers: Positive integers starting from 1 (including zero). (ℤ)Integer numbers: Whole numbers and negatives (ℚ )Rational numbers: Fractions of integers Irrational numbers: Non-repeatin...
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Representing sound Representing sound Resources - Learn more about this topic: https://www.bbc.co.uk/education/guides/zpfdwmn/revision/3 (basic level) https://teachwithict.weebly.com/binary-representation-of-sound.html (inter...
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Binary, Denary and Hexadecimal Binary Data storage capacities (in order)Bit (one binary digit; 0 or 1)Nibble (4 binary digits/half a byte)Byte (has 8 bits)Megabyte (has 1024 bits)Kilobyte (has 1024 Mb)Gigabyte (has 1024 Kb)Terabyte (has 1024 Tb)Bin...
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digital data REPRESENTING DATA DATA AND INFORMATION DATA meaningless raw unorganised facts figures without context or meaning until processed INFORMATION data that has been processed and presented in a meaningful way therefore mak...
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Revision Binary Computers use binary because they contain trillions of tiny transistors that can only be on or off. On is represented by the number 1, and off is represented by the number 0. Binary can also be known as 'base 2...
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HEXADECIMAL CHAPTER 11 HEXADECIMAL - BASE 16 changes binary into a base value more readable to humansHexadecimal is a number system based on 16; column values are powers of 16.Hex requires 16 distinct symbols to represent the values from 0 ...
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Representing Sound A sound that humans can listen to is an Analogue sound A sound processed by a computer is in digital form
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Computer Org. 2019.01.18 In binary start from right to left Only add the numbers that are "1" and not "0" Start at 0 in Binary. Example: 0 - 9 for Base 10 Binary Addition of 1 bit. 1+0 = 0+1 = 1 (See slide) Binary Addition...
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Hexidecimals Denary: Binary: Hexadecimal 0 0000 ...
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Logic Gates and Truth Tables George Boole introduced a form of notation to describe binary statements in 1847Digital devices of systems use only two values which can be expressed in several wayshigh or lowtrue of falseon or offLogic gates are usu...
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I.C.T Revision 1 Digital Data Data is raw facts and figures which have not been processed and has no contexts. For example 234. Information is data which has been processed and given context. For example 234 number of pupils in...
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COMPUTER SCIENCE PART ONE: - created from Mind Map Representing Data Databases BINARY
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HEXADECIMAL Hexadecimal is a base 16 system used to simplify how binary is represented. Denary Binary Hexadecimal 0  ...
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Lossy and Lossless Information Lossless and Lossy Compression Compression reduces the number bits of the file making the storage capacity lower and the data transfer of the file quicker. This is useful because more data...
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Untitled How to Understand Hexidecimal.Hexadecimal notation (base sixteen) is used throughout the Web and computer systems to indicate values. One good example is the notation for color in HTML pages. Reading and using hexadec...
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work Binary:Binary is a number system that only uses two digits: 1 and 0. Binary is a number system that only uses two digits: 1 and 0. All information that is processed by a computer is in the form of a 1s and 0s. Therefo...
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NUMBER REPRESENTION - created from Mind Map BASES DEC (10) BIN (2) OCTAL (8) HEX (16) CONVERSIONS INTEGER FRACTIONAL TO DEC MULTIPLY BY INCREASING POWERS TO BASE DIVISION BY BASE TO DEC MULTIPLY BY DECREASING POWER TO BASE MULTIPLY BY BASE FLOATING POINT EXPONE...
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Hex To Denary and Binary Addition
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The Binary System - created from Mind Map The binary System is a numerical system that works only with 2 numbers, those are 0 and 1. At the time to start counting, the number 1 will be the only valuable. Depending on the place it is, the valeu that it gets. T...
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Computer Org. 2019.01.22 Qwickly Attendance: 9346 Hexadecimal is base 16 From 0-9 and then a to f. How to convert ab94(16) to binary: Change each one of these to four digit binary. Hex to Decimal: Hex Digits (bits) w...
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binary binary. binary is only made up of os and 1s only two values place value has 10 values the standard on and off symbol is a 1 and 0 0 or 1= one bit (binary digit) 8 bits= 1 Byte 1000 Bytes= 1 Kylobyte (Kb) 1000 Kb= 1 Me...
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Data - created from Mind Map Information that computer deals with data of different type(s) suits different requirements chosen for efficient processing
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Untitled Types of compression are lossless and lossy. Lossless compression is when an image file size is reduced without any quality loss. Most of the time it done by removing unnecessary metadata from...
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Logic gates, rough notes Data representation systemtruth table - demonstrated logic , can demonstrate loginc gates.Logical oprator- 'and, 'or' 'not' Logic gate - semiconducter, digital device, 2 input, one outputdigital device hold 2 values -...
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binary and denary - created from Mind Map different units of data are bits bytes kilobyte megabyte gigabyte terabyte the are 8 bits in a byte .and there 1000 bytes in a kilobyte. there are 1000 kilobytes in a megabyte . there are 1000 megabytes in a gigabyte....
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Untitled HOW TO WRITE A NEGATIVE BINARY NUMBER For example take -93 as a number which you have to convert to binary. first of all you need to convert it into binary. next you have to take one's complement of the binary number;...
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Binary addition 00=0+0=001=0+1=110=1+0=111=1+1=10111=1+1+1=11etc...because each digit for binary is:128,64,32,16,8,4,2,1. 10110101 +00111100=(1)11110001Here this adds up to 9 bits of data where there is only 8 bits avaliableThis is c...
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Data Hierarchy - created from Mind Map bit composed of either 1s or 0s Character Set
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Untitled Denary (decimal) or base 10 is the standard number system it uses ten digits (0,1,2,3,4,5,6,7,8,9) Denary Binary 1 1  ...
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bits and bytes Know that: the bit is the fundamental unit of information a bit is either 0 or 1 a byte is a group of 8 bits. Know that the 2 raised to the power of n different values can be represented with n bits.For example, 3 bit...
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Why we normalize binary numbers Why we normalize binary numbers.We normalize binary numbers so that there is only 1 way of representing the number. It also provides maximum precision of the represented number
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notes computer sience counting in binary 128 64 32 16 8 4 2 1 0 0 0 0 0 0 0 1 = 1 0 0 0 0 0 0 1 0 =20 0 0 0 0 0 1 1 = 3 and so on.
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About data representation and number systems notes
GoConqr OriginalData representation and number systems notes
These notes cover number systems alongside ways of representing data. Binary, Denary and Hexadecimal brings the systems together, while Binary Conversion focuses on conversions. Other notes look at logic gates and truth tables, sound, and lossy and lossless information.
How to use the notes
Start with Binary, Denary and Hexadecimal if you want to review the number systems together. For a narrower starting point, try Binary Conversion and work through its explanation before moving to Hex To Denary and Binary Addition.
After reading a note, write down the key terms or steps you remember, then return to the text to check them. If you want to test your recall in a different way, switch to a quiz on the unit page. For a visual overview, try a mind map there instead.
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Frequently asked questions
Which note should I start with?
Try “Binary, Denary and Hexadecimal” if you want to review the number systems together. If you are concentrating on converting numbers, start with “Binary Conversion” instead. You can then use “Hex To Denary and Binary Addition” to continue with hexadecimal and binary addition.
Are these notes free to use?
Yes. Every note listed here is free to open and study, and you do not need an account to read it. The resources were made by GoConqr users, so you can explore different notes on the same topic and choose the explanations you find useful.
Do the notes cover topics beyond number conversion?
Yes. Alongside notes on binary, denary and hexadecimal, the page lists “Logic Gates and Truth Tables”, “Representing Sound” and “Lossy and Lossless Information”. These give school students and teachers options for studying different parts of data representation without leaving the notes listing.