Text, Images, Video and Sound CS 1 Introduction to Computers and Computer Technology Rick Graziani Spring 2015 Digitizing Text • Earliest uses of PandA (Presence and Absence) was to digitize text • • (keyboard characters). We will look at digitizing images and video later. Assigning Symbols in United States: – 26 upper case letters – 26 lower case letters – 10 numerals – 20 punctuation characters – 10 typical arithmetic characters – 3 non-printable characters (enter, tab, backspace) – 95 symbols needed Rick Graziani graziani@cabrillo.edu 2 ASCII-7 • In the early days, a 7 bit code was used, with 128 combinations of 0’s and 1’s, enough for a typical keyboard. • The standard was developed by ASCII (American Standard Code for Information Interchange) • Each group of 7 bits was mapped to a single keyboard character. 0 = 0000000 1 = 0000001 2 = 0000010 3 = 0000011 … 127 = 1111111 Rick Graziani graziani@cabrillo.edu 3 Byte Byte = A collection of bits (usually 7 or 8 bits) which represents a character, a number, or other information. • More common: 8 bits = 1 byte • Abbreviation: B Rick Graziani graziani@cabrillo.edu 4 Bytes 1 byte (B) Kilobyte (KB) = 1,024 bytes (210) • “one thousand bytes” 1,024 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 Megabyte (MB) = 1,048,576 bytes (220) • “one million bytes” Gigabyte (GB) = 1,073,741,824 bytes (230) • “one billion bytes” Rick Graziani graziani@cabrillo.edu 5 Wikipedia Rick Graziani graziani@cabrillo.edu 6 ASCII-8 • IBM later extended the • • standard, using 8 bits per byte. This was known as Extended ASCII or ASCII-8 This gave 256 unique combinations of 0’s and 1’s. 1 0 = 00000000 1 = 00000001 2 = 00000010 3 = 00000011 … 255 = 11111111 Rick Graziani graziani@cabrillo.edu 7 ASCII-8 Rick Graziani graziani@cabrillo.edu 8 Try it! 1 • Write out Cabrillo College (Upper and Lower case) in bits (binary) using the chart above. 0100 0011 C 0110 0001 a Rick Graziani graziani@cabrillo.edu … 9 The answer! 0100 0011 C 0110 1100 l 0110 1100 l 0110 0001 a 0110 1111 o 0110 0101 e Rick Graziani graziani@cabrillo.edu 1 0110 0010 b 0010 0000 space 0110 0111 g 0111 0010 r 0100 0011 C 0110 0101 e 0110 1001 i 0110 1111 o 0110 1100 l 0110 1100 l 10 Unicode • Although ASCII works fine for English, many other languages need • • • more than 256 characters, including numbers and punctuation. Unicode uses a 16 bit representation, with 65,536 possible symbols. Unicode can handle all languages. www.unicode.org Rick Graziani graziani@cabrillo.edu 11 Non-text Files: Representing Images and Sound Rick Graziani graziani@cabrillo.edu 13 Rick Graziani graziani@cabrillo.edu 14 Pixels • A monitors screen is divided into a grid of small unit called • • picture elements or pixels. The more pixels per inch the better the resolution, the sharper the image. All colors on the screen are a combination of red, green and blue (RGB), just at various intensities. Rick Graziani graziani@cabrillo.edu 15 Rick Graziani graziani@cabrillo.edu 16 • Each Color intensity of red, green and blue represented as a • • • • • quantity from 0 through 255. Higher the number the more intense the color. Black has no intensity or no color and has the value (0, 0, 0) White is full intensity and has the value (255, 255, 255) Between these extremes is a whole range of colors and intensities. Grey is somewhere in between (127, 127, 127) Rick Graziani graziani@cabrillo.edu 17 RGB Colors and Binary Representation • You can use your favorite program that allows you to choose colors to view these various red, green and blue values. Rick Graziani graziani@cabrillo.edu 18 RGB Colors and Binary Representation • Let’s convert these colors from Decimal to Binary! Purple: Gold: Rick Graziani graziani@cabrillo.edu Red 172 253 Green 73 249 Blue 185 88 19 RGB Colors and Binary Representation Red 172 253 Green 73 249 Purple: Gold: Number of: 27 26 25 24 128’s 64’s 32’s 16’s Dec. 172 73 185 Blue 185 88 23 22 21 20 8’s 4’s 2’s 1’s 253 249 88 Rick Graziani graziani@cabrillo.edu 20 RGB Colors and Binary Representation Red 172 253 Green 73 249 Blue 185 88 Purple: Gold: Number of: 27 26 25 24 23 22 21 20 128’s 64’s 32’s 16’s 8’s 4’s 2’s 1’s Dec. 172 1 0 1 0 1 1 0 0 73 0 1 0 0 1 0 0 1 185 1 0 1 1 1 0 0 1 253 249 88 1 1 0 Rick Graziani graziani@cabrillo.edu 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 21 RGB Colors and Binary Representation • We have now converted these colors from Decimal to Binary! Red 172 Purple: 10101100 Gold: 253 11111101 • Green 73 01001001 249 11111001 Blue 185 10111001 88 01011000 Why does this matter? Rick Graziani graziani@cabrillo.edu 22 First a word about Pixels Per Inch 1600 pixels 1600 pixels /300 ppi = 5.3 inches 1200 pixels/300 ppi = 4 inches 1200 pixels graphicssoft.about.com • PPI stands for pixels per inch. • PPI is a measurement of image resolution that defines the size an image will print. • The higher the PPI value, the better quality print you will get--but only up to a point. • 300ppi is generally considered the point of diminishing returns when it comes to ink jet printing of digital photos. Rick Graziani graziani@cabrillo.edu 23 First a word about Pixels Per Inch • The higher the PPI value, the better quality print you will get--but only up to a point. Rick Graziani graziani@cabrillo.edu 24 RGB Colors and Binary Representation Red 172 Purple: 10101100 Green 73 01001001 Blue 185 10111001 24 bits for one pixel! • “True color” systems require 3 bytes or 24 bits per pixel. • There is 8 bit and 16 bit color, which gives you less of a color palette. Rick Graziani graziani@cabrillo.edu 25 RGB Colors and Binary Representation 8 inches or 2,400 pixels Red 172 Purple: 10101100 10 inches or 3,000 pixels Green 73 01001001 Blue 185 10101111 = 24 bits per pixel • An 8 inch by 10 inch image scanned in at 300 pixels per inch: – 8 x 300 = 2,400 pixels 10 x 300 = 3,000 pixels – 2,400 pixels by 3,000 pixels = 7,200,000 pixels or 7.2 megapixels – At 24 bits per pixel (7,200,000 x 24) • = 172,800,000 bits or 21,600,000 bytes (21.6 megabytes) • RAM memory, video memory, disk space, bandwidth,… Rick Graziani graziani@cabrillo.edu 26 File Compression • Typical computer screen only has • • • about 100 pixels per inch, not 300. Images still require a lot of memory and disk space, not to mention transferring images over the network or Internet. Compression – A means to change the representation to use fewer bits to store or transmit information. Information sent via a fax is either black or white, long strings of 0’s or long strings of 1’s. Rick Graziani graziani@cabrillo.edu 27 Run-length encoding • Many fax machines use run-length • • • encoding. Run-length encoding uses binary numbers to specify how long the first sequence (run) of 0’s is, then how long the following sequence of 1’s is, then how long the following sequence of 0’s is, and so on. Fewer bits needed than sending 100 0’s, then 373 1’s etc. Run-length encoding is a lossless compression scheme, meaning that the original representation of 0’s and 1’s can be reconstructed exactly. Rick Graziani graziani@cabrillo.edu 28 JPEG Compression • JPEG – Joint Photographic Experts Group • JPEG is a common standard for compressing and storing still images. • Our eyes are not very sensitive to small changes in hue (chrominance), • • but we are sensitive to brightness (luminance). This means we can store less accurate description of the hue of the picture (fewer bits) and our eyes will not notice it. This is a lossy compression scheme, because we have lost some the original representation of the image and it cannot be reconstructed exactly. Rick Graziani graziani@cabrillo.edu 29 JPEG Compression Scheme • With JPEG we can get 20:1 compression ratio or more, without being • • able to see a difference. There are large areas of similar hues in pictures that can be lumped together without our noticing. Because of this, when Run-length compression is used there is more compression because there is less variations in the hue. Rick Graziani graziani@cabrillo.edu 30 MPEG Compression Scheme • MPEG (Motion Pictures Experts Group) • MPEG compression is similar to JPEG, but applied to movies. – JPEG compression is applied to each frame. – Then interframe coherency is used, which only records and transmits the “differences” between frames. Rick Graziani graziani@cabrillo.edu 31 Hexadecimal Number System <tr> <td rowspan="2" bgcolor="#cccc99">&nbsp;</td> <td height="30" bgcolor="#999966"><div id="mainnav"> Rick Graziani graziani@cabrillo.edu 33 Rick Graziani graziani@cabrillo.edu 34 Pixels • A monitors screen is divided into a grid of small unit called • • picture elements or pixels. The more pixels per inch the better the resolution, the sharper the image. All colors on the screen are a combination of red, green and blue (RGB), just at various intensities. Rick Graziani graziani@cabrillo.edu 35 Rick Graziani graziani@cabrillo.edu 36 Dreamweaver Rick Graziani graziani@cabrillo.edu 37 <tr> <td rowspan="2" bgcolor="#cccc99">&nbsp;</td> <td height="30" bgcolor="#999966"><div id="mainnav"> • Hexadecimal Number With web applications like HTML (Hypertext Markup Language), colors are sometime described using their RGB color specification in hexadecimal. Rick Graziani graziani@cabrillo.edu 38 Hexadecimal RED GREEN BLUE <td rowspan="2" bgcolor="#cccc99">&nbsp;</td> Red cc Green cc Blue 99 <td height="30" bgcolor="#999966"><div id="mainnav"> Red 99 Green 99 Blue 66 # means hexadecimal in web applications Rick Graziani graziani@cabrillo.edu 39 Hexadecimal Numbers • • What are they? Why do these people use them? – web designers – digital medial creators – computer scientists – networking professionals Rick Graziani graziani@cabrillo.edu 40 Rick’s Number System Rules • • • • All digits start with 0 A Base-n number system has n number of digits: – Decimal: Base-10 has 10 digits – Binary: Base-2 has 2 digits – Hexadecimal: Base-16 has 16 digits The first column is always the number of 1’s Each of the following columns is n times the previous column (n = Base-n) – Base 10: 10,000 1,000 100 10 1 – Base 2: 16 8 4 2 1 – Base 16: 65,536 4,096 256 16 1 Rick Graziani graziani@cabrillo.edu 41 Hexadecimal Digits Hexadecimal: 16 digits Dec 0 1 2 3 4 5 6 7 Hex 0 1 2 3 4 5 6 7 Rick Graziani graziani@cabrillo.edu Dec 8 9 10 11 12 13 14 15 Hex 8 9 A B C D E F 42 0, 1, 2, 3, 4, 5, 6, 7 ,8, 9, A, B, C, D, E, F Decimal 8 9 10 14 15 16 Rick Graziani graziani@cabrillo.edu Hexadecimal 16’s 1’s 8 9 A E F 1 0 43 0, 1, 2, 3, 4, 5, 6, 7 ,8, 9, A, B, C, D, E, F Decimal 17 20 21 26 12 29 Rick Graziani graziani@cabrillo.edu Hexadecimal 16’s 1’s 1 1 1 4 1 5 1 A C 1 D 44 0, 1, 2, 3, 4, 5, 6, 7 ,8, 9, A, B, C, D, E, F Decimal 30 31 32 33 50 60 Rick Graziani graziani@cabrillo.edu Hexadecimal 16’s 1’s 1 E 1 F 2 0 2 1 3 2 3 C 45 Question… • Luigi went into a bar and ordered a beer. The bartender ask Luigi for his ID to make sure he was old enough to order a beer (21). After looking at Luigi’s ID the bartender told Luigi he was not at least 21. Luigi answered, “I’m sorry but you are wrong. I am exactly 21. My ID shows my age in Hexadecimal.” What age is on McLuigi’s ID in Hexadecimal? Decimal 21 Rick Graziani graziani@cabrillo.edu 16’s 1 16 1’s 5 + 5 46 Don’t forget why we are doing this! <tr> <td rowspan="2" bgcolor="#cccc99">&nbsp;</td> <td height="30" bgcolor="#999966"><div id="mainnav"> Hexadecimal Number Rick Graziani graziani@cabrillo.edu 47 Why Hexadecimal? • • • • Hexadecimal is perfect for matching 4 bits. Every combination of 4 bits can be matched with one hex number. 4 bits can be represented by 1 Hex value 8 bits can be represented by 2 Hex values Rick Graziani graziani@cabrillo.edu 48 Hexadecimal Digits 4 bits can be represented by 1 Hex value Hexadecimal: 16 digits Dec 0 1 2 3 4 5 6 7 Hex 0 1 2 3 4 5 6 7 Rick Graziani graziani@cabrillo.edu Binary 8421 0000 0001 0010 0011 0100 0101 0110 0111 Dec 8 9 10 11 12 13 14 15 Hex 8 9 A B C D E F Binary 8421 1000 1001 1010 1011 1100 1101 1110 1111 49 Hexadecimal Digits 4 bits can be represented by 1 Hex value • • • • Hexadecimal is perfect for matching 4 bits. Every combination of 4 bits can be matched with one hex number. 4 bits can be represented by 1 Hex value 8 bits can be represented by 2 Hex values Dec. 0 1 2 3 4 5 6 7 Hex. 0 1 2 3 4 5 6 7 Rick Graziani graziani@cabrillo.edu Binary 0000 0001 0010 0011 0100 0101 0110 0111 Dec. 8 9 10 11 12 13 14 15 Hex. 8 9 A B C D E F Binary 1000 1001 1010 1011 1100 1101 1110 1111 50 Converting Decimal, Hex, and Binary Dec. Hex. Binary Dec. Hex. Binary 0 0 0000 8 8 1000 1 1 0001 9 9 1001 2 2 0010 10 A 1010 3 3 0011 11 B 1011 4 4 0100 12 C 1100 5 5 0101 13 D 1101 6 6 0110 14 E 1110 7 7 0111 15 F 1111 ----------------------------------------------------- Dec. Hex 0 F A C Binary Rick Graziani graziani@cabrillo.edu Dec. Hex Binary 0010 1110 0000 0010 Dec. Hex Binary 10 12 5 1000 51 Converting Decimal, Hex, and Binary Dec. Hex. Binary Dec. Hex. Binary 0 0 0000 8 8 1000 1 1 0001 9 9 1001 2 2 0010 10 A 1010 3 3 0011 11 B 1011 4 4 0100 12 C 1100 5 5 0101 13 D 1101 6 6 0110 14 E 1110 7 7 0111 15 F 1111 ----------------------------------------------------- Dec. Hex 0 0 15 F 10 A 12 C Binary 0000 1111 1010 1100 Rick Graziani graziani@cabrillo.edu Dec. Hex 2 2 14 E 0 0 2 2 Binary 0010 1110 0000 0010 Dec. Hex Binary 10 A 1010 12 C 1100 5 5 0101 8 8 1000 52 What about 8 bits? Dec. Hex. Binary Dec. Hex. Binary 0 0 0000 8 8 1000 1 1 0001 9 9 1001 2 2 0010 10 A 1010 3 3 0011 11 B 1011 4 4 0100 12 C 1100 5 5 0101 13 D 1101 6 6 0110 14 E 1110 7 7 0111 15 F 1111 ----------------------------------------------------- HEX 2 4 Rick Graziani graziani@cabrillo.edu BINARY ? 53 What about 8 bits? Dec. Hex. Binary Dec. Hex. Binary 0 0 0000 8 8 1000 1 1 0001 9 9 1001 2 2 0010 10 A 1010 3 3 0011 11 B 1011 4 4 0100 12 C 1100 5 5 0101 13 D 1101 6 6 0110 14 E 1110 7 7 0111 15 F 1111 ----------------------------------------------------- HEX 2 4 Rick Graziani graziani@cabrillo.edu BINARY 0010 0100 54 Using Hex for 8 bits Dec. Hex. Binary Dec. Hex. Binary 0 0 0000 8 8 1000 1 1 0001 9 9 1001 2 2 0010 10 A 1010 3 3 0011 11 B 1011 4 4 0100 12 C 1100 5 5 0101 13 D 1101 6 6 0110 14 E 1110 7 7 0111 15 F 1111 ----------------------------------------------------- Hex 12 AB 02 Binary 0001 0010 0111 0111 0000 0010 Rick Graziani graziani@cabrillo.edu Hex 3C 1A B4 Binary 1000 1111 1100 1001 Hex 99 00 7D Binary 1111 1111 0101 1100 55 Using Hex for 8 bits Dec. Hex. Binary Dec. Hex. Binary 0 0 0000 8 8 1000 1 1 0001 9 9 1001 2 2 0010 10 A 1010 3 3 0011 11 B 1011 4 4 0100 12 C 1100 5 5 0101 13 D 1101 6 6 0110 14 E 1110 7 7 0111 15 F 1111 ----------------------------------------------------- Hex 12 AB 02 77 02 Binary 0001 0010 1010 1011 0000 0010 0111 0111 0000 0010 Rick Graziani graziani@cabrillo.edu Hex 3C 1A B4 8F C9 Binary 0011 1100 0001 1010 1011 0100 1000 1111 1100 1001 Hex 99 00 7D FF 5C Binary 1001 1001 0000 0000 0111 1101 1111 1111 0101 1100 56 So why is Rick torturing us? <tr> <td rowspan="2" bgcolor="#cccc99">&nbsp;</td> <td height="30" bgcolor="#999966"><div id="mainnav"> Hexadecimal Number Rick Graziani graziani@cabrillo.edu 57 How much RED GREEN BLUE ? <td rowspan="2" bgcolor="#cccc99">&nbsp;</td> Red Green Blue cc cc 99 <td height="30"bgcolor="#999966"><divid…> Red Green Blue 99 99 66 Rick Graziani graziani@cabrillo.edu 58 Hexadecimal # RED GREEN BLUE <td rowspan="2" bgcolor="#cccc99">&nbsp;</td> Red Green Blue cc cc 99 Convert to Binary Red Hex cc Bin 1100 1100 Green cc 1100 1100 Blue 99 1001 1001 24 bits represent a single color Rick Graziani graziani@cabrillo.edu 59 Hex Bin Red cc 1100 1100 Green cc 1100 1100 Blue 99 1001 1001 24 bits represent a single color Rick Graziani graziani@cabrillo.edu 60 Hex Red 00->FF Green 00->FF Blue 00->FF Bin 0000 0000 thru 1111 1111 0000 0000 thru 1111 1111 0000 0000 thru 1111 1111 Dec 0 -> 255 0 -> 255 0 -> 255 255 255 ? 0 Rick Graziani graziani@cabrillo.edu 255 ? 0 ? 0 61 255 ? 0 255 ? 0 255 ? 0 Rick Graziani graziani@cabrillo.edu How Much? 0 to 255 62 Hex Bin Red cc 1100 1100 Decimal 204 Rick Graziani graziani@cabrillo.edu Green cc 1100 1100 Blue 99 1001 1001 Hexadecimal 16’s 1’s c c or 12 12 (12x16) (12x1) = 192 + 12 63 Hex Bin Dec Red cc 1100 1100 204 Rick Graziani graziani@cabrillo.edu Green cc 1100 1100 204 Blue 99 1001 1001 153 64 255 204 0 255 204 0 255 153 0 Rick Graziani graziani@cabrillo.edu 65 <td rowspan="2" bgcolor="#cccc99">&nbsp;</td> Rick Graziani graziani@cabrillo.edu 66 FF 255 0 00 0 FF 255 0 00 Dec Hex Bin Red 0 00 0000 0000 0 Decimal FF Green 0 00 0000 0000 Blue 255 FF 1111 1111 Hexadecimal 16’s 1’s 255 255 00 0 Rick Graziani graziani@cabrillo.edu 67 FF 255 200 00 0 FF 255 48 00 Dec Hex Bin Red 200 c8 1100 1000 0 Decimal FF Green 48 30 0011 0000 Blue 127 7F 0111 1111 Hexadecimal 16’s 1’s 255 127 00 0 Rick Graziani graziani@cabrillo.edu 68 FF 255 74 00 0 FF 255 132 00 Dec Hex Bin Red 74 4A 0100 1010 0 Decimal FF Green 132 84 1000 0100 Blue 40 28 0010 1000 Hexadecimal 16’s 1’s 255 40 00 0 Rick Graziani graziani@cabrillo.edu 69 FF 255 255 00 0 FF 255 255 00 Dec Hex Bin Red 255 FF 1111 1111 0 Decimal FF Green 255 FF 1111 1111 Blue 255 FF 1111 1111 Hexadecimal 16’s 1’s 255 255 00 0 Rick Graziani graziani@cabrillo.edu 70 FF 255 50 00 0 FF 255 128 00 Dec Hex Bin Red 50 32 0011 0010 0 Decimal FF Green 128 80 1000 0000 Blue 60 3C 0011 1100 Hexadecimal 16’s 1’s 255 60 00 0 Rick Graziani graziani@cabrillo.edu 71 CMYK - Cyan-Magenta-Yellow-Black From Wikipedia: • The CMYK color model (process color, four color) is used in color printing. • Comparisons between RGB displays and CMYK prints can be difficult, since the color reproduction technologies and properties are so different. • A computer monitor mixes shades of red, green, and blue to create color pictures. • There is no simple or general conversion formula that converts between them. • Conversions are generally done through color management systems. • Nevertheless, the conversions cannot be exact. Rick Graziani graziani@cabrillo.edu 72 Color Codes Rick Graziani graziani@cabrillo.edu 73 Digitizing Sound Theme from Shaft Rick Graziani graziani@cabrillo.edu 75 Digitizing Sound • Many definitions of analog. • (Our definition) analog wave is a wave form analogous to the human • voice. The telephone systems uses an analog wave to transmit your voice over the telephone line to their Central Office. Rick Graziani graziani@cabrillo.edu 76 Digitizing Sound Rick Graziani graziani@cabrillo.edu 77 Digitizing Sound • Many definitions of analog. • (Our definition) analog wave is a wave form analogous to the human • voice. The telephone systems uses an analog wave to transmit your voice over the telephone line to their Central Office. Rick Graziani graziani@cabrillo.edu 78 Digitizing Sound • Two parts of the wave: • – Amplitude – Height of the wave which equates to volume. – Frequency – Number of waves per second, which equates to pitch. Computers are digital devices, so the analog wave needs to be converted to a digital format. Rick Graziani graziani@cabrillo.edu 79 Digitizing Sound • Converting Analog to Digital requires three steps: 1. Sampling 2. Quantifying 3. Coding Rick Graziani graziani@cabrillo.edu 80 Digitizing Sound • Sampling – To take measurements at regular intervals. • The more samples you take, the more accurately you represent the original wave, and the more accurately you can reproduce the original wave. Rick Graziani graziani@cabrillo.edu 81 Digitizing Sound 1 second, 40,000 samples • Nyquist’s Theorem which states that a sampling of two times the • • • highest allowable frequency is sufficient for reconstructing an analog wave into a digital data. Human can hear frequencies up to about 20,000 Hz or 20,000 frequencies per second. Using Nyquist’s Theorem, this means we need to sample each analog wave at 40,000 times per second of sound. In other words, each one second of sound gets sample 40,000 times. (Actually, 44,100 times per second.) Rick Graziani graziani@cabrillo.edu 82 Sampling – Quantifying - Coding • • A digital audio processor is used to sample the analogue audio wave 44,100 times a second. This means, at every tick (44,100 times per second), the digital audio processor (sampling): – Determines the amplitude of the original very complex audio wave. – It records it as a 16 bit value (quantifying) – This means there are 65,536 possible values for this amplitude (coding): • 32,767 values above zero • 32,767 values below zero. – It does this sampling for the two channels of stereo as well. Rick Graziani graziani@cabrillo.edu 83 Rick Graziani graziani@cabrillo.edu 84 6 5 4 3 2 1 0 If we sample at too low a rate, we may miss some peaks and troughs in the original audio and so the resulting waveform may sound completely different and muddy -1 -2 -3 -4 -5 -6 Rick Graziani graziani@cabrillo.edu 85 2 Here we've got a fairly high sample rate, but the measurements of the amplitude are pretty coarse. 1 0 -1 -2 Rick Graziani graziani@cabrillo.edu 86 Digitizing Sound • Quantifying – This is the process of giving a value to each of the • samples taken. The larger the range of numbers, the more detailed or specific you can be in your quantifying. Rick Graziani graziani@cabrillo.edu 87 Digitizing Sound • Coding – This is the process taking the value quantified and • • • • • representing it as a binary number. Audio CDs use 16 bits for coding. 16 bits gives a range from 0 to 65,536. Actually: – 15 bits are used for the range of numbers – 1 bit is used for + (positive) or – (negative) 32,768 positive values and 32,768 negative values How many bits does it take to record one minute of digital audio? Rick Graziani graziani@cabrillo.edu 88 Digitizing Sound • • • • How many bits does it take to record one minute of digital audio? 1 minute = 60 seconds 44,100 samples per second This equals 2,646,000 samples. • Each sample requires 16 bits. • 2,646,000 samples times 16 bits per sample equals 42,336,000 bits. • 42,336,000 bits times 2 for stereo equals 84,672,000 bits for 1 minute of audio. • 84,672,000 bits divided by 8 bits per byte equals 10,584,000 bytes for 1 minute of audio. (More than 10 megabytes!) • One hour of audio equals 635,040,000 bytes or 635 MB (megabytes)! Rick Graziani graziani@cabrillo.edu 89 MP3 Compression • Compressing digital audio means to reduce the number of bits needed • • • to represent the information. There are many sounds, frequencies, that the human ear cannot hear, some too high, some too low. These waves can be removed without impacting the quality of the audio. MP3 uses this sort of compression for a typical compression ratio of 10:1, so a one minute of MP3 music takes 1 megabyte instead of 10 megabytes. Rick Graziani graziani@cabrillo.edu 90 Advantage of Digitizing Information • A key advantage to digital representation of information, images and sounds, is that the it can be reproduced without losing a “bit” of the quality. Rick exactly Graziani graziani@cabrillo.edu 91 Text, Images, Video and Sound CS 1 Introduction to Computers and Computer Technology Rick Graziani