Problem 46913. How many bytes an image requires from RAM?

Created by Rafael S.T. Vieira

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Several algorithms store compressed images at our computers; types such as FIG, JPG, or PNG help software to identify them. On the other hand, whenever we visualize an image on a display screen, it must be decompressed to its total size: displaying a compressed image is utterly incomprehensible to humans. Your task is to compute this total size.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>An image total size in bits is calculated with the following formula: </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>s = w*h*\\delta</w:t></w:r></w:customXml><w:r><w:t>, in which </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>w</w:t></w:r></w:customXml><w:r><w:t> is its width, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>h</w:t></w:r></w:customXml><w:r><w:t> is its height, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\delta</w:t></w:r></w:customXml><w:r><w:t> is its pixel depth, the number of bits used to store color intensity. Usually, image dimensions are easily obtained from any software, but its pixel depth is not always available. Nevertheless, it is easy to guess the latter since:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[Black-and-white (BW) images have 1-bit pixel depth.\nGrayscale (L) images have 8-bit pixel depth.\nRGB (colored) images have 24-bit pixel depth.\nRGBA (transparency) images has 32-bit pixel depth.]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Compute how many bytes an image requires from RAM, given its w, h, and a string informing the type of the image: BW, L, RGB, or RGBA. </w:t></w:r><w:r><w:t>Moreover, make the results more human-readable by showing them with units: bytes (</w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>2^{0}</w:t></w:r></w:customXml><w:r><w:t>), KB (</w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>2^{10}</w:t></w:r></w:customXml><w:r><w:t>), MB (</w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>2^{20}</w:t></w:r></w:customXml><w:r><w:t>), GB (</w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>2^{30}</w:t></w:r></w:customXml><w:r><w:t>) rounded to 2 decimal places. There must be at least a non-zero integer value to display it in some units, you should always use the greatest unit possible, and data cannot be stored in less than 1 byte (8 bits).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:rPr><w:b/><w:i/></w:rPr><w:t>Next:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/46973-how-many-bytes-an-audio-requires-from-ram\"><w:r><w:t>How many bytes an audio requires from RAM? Problem 46973</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:rPr><w:i/></w:rPr><w:t>How many bytes a video requires from RAM?</w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 406.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 203.2px; transform-origin: 407px 203.2px; vertical-align: baseline; "><div style="block-size: 62.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.2px; text-align: left; transform-origin: 384px 31.2px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Several algorithms store compressed images at our computers; types such as FIG, JPG, or PNG help software to identify them. On the other hand, whenever we visualize an image on a display screen, it must be decompressed to its total size: displaying a compressed image is utterly incomprehensible to humans. Your task is to compute this total size.</span></span></div><div style="block-size: 62.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.2px; text-align: left; transform-origin: 384px 31.2px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">An image total size in bits is calculated with the following formula: </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="81.5" height="17.5" style="width: 81.5px; height: 17.5px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">, in which </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">w</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> is its width, </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">h</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> is its height, </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">δ</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> is its pixel depth, the number of bits used to store color intensity. Usually, image dimensions are easily obtained from any software, but its pixel depth is not always available. Nevertheless, it is easy to guess the latter since:</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 80px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40px; transform-origin: 404px 40px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">Black-and-white (BW) images </span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); text-decoration: none; text-decoration-color: rgb(170, 4, 249); ">have 1-bit pixel depth.</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">Grayscale (L) images </span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); text-decoration: none; text-decoration-color: rgb(170, 4, 249); ">have 8-bit pixel depth.</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">RGB (colored) images </span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); text-decoration: none; text-decoration-color: rgb(170, 4, 249); ">have 24-bit pixel depth.</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">RGBA (transparency) images </span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); text-decoration: none; text-decoration-color: rgb(170, 4, 249); ">has 32-bit pixel depth.</span></span></div></div><div style="block-size: 83.2px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 41.6px; text-align: left; transform-origin: 384px 41.6px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="font-weight: 700; ">Compute how many bytes an image requires from RAM, given its w, h, and a string informing the type of the image: BW, L, RGB, or RGBA. </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Moreover, make the results more human-readable by showing them with units: bytes (</span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="15.5" height="18.5" style="width: 15.5px; height: 18.5px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">), KB (</span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="20.5" height="18.5" style="width: 20.5px; height: 18.5px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">), MB (</span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="20.5" height="18.5" style="width: 20.5px; height: 18.5px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">), GB (</span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="20.5" height="18.5" style="width: 20.5px; height: 18.5px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">) rounded to 2 decimal places. There must be at least a non-zero integer value to display it in some units, you should always use the greatest unit possible, and data cannot be stored in less than 1 byte (8 bits).</span></span></div><div style="block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="font-style: italic; font-weight: 700; ">Next:</span></span></div><div style="block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/46973-how-many-bytes-an-audio-requires-from-ram"><span style=""><span style="">How many bytes an audio requires from RAM? Problem 46973</span></span></a></div><div style="block-size: 20.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="font-style: italic; ">How many bytes a video requires from RAM?</span></span></div></div></div>

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Brendan on 7 Dec 2022

NIce!

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Problem 46913. How many bytes an image requires from RAM?

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Problem 46913. How many bytes an image requires from RAM?

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