Problem 51565. Convert a number from base 10 to factorial notation

Created by ChrisR

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:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/51560-convert-a-number-from-factorial-notation-to-base-10\"><w:r><w:t>Cody Problem 51560</w:t></w:r></w:hyperlink><w:r><w:t> asks you to convert a number from factorial notation to base 10. This problem is the companion: Write a function to convert a number from base 10 to factorial notation with a tolerance </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>p</w:t></w:r><w:r><w:t> that defaults to </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"10^{-4}\"/></w:customXmlPr><w:r><w:t>10^{-4}</w:t></w:r></w:customXml><w:r><w:t> if not specified. </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>Given 463, your function should return the character string ‘34101’, and given 23/24 (and the default tolerance), your function should return ‘0.123’. As in the previous problem, use A, B, C, etc. for digits greater than 9, and take the first place after the decimal point to be the 1/2! place.</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: 20.4333px; 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: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 114px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 57px; transform-origin: 407px 57px; vertical-align: baseline; "><div style="block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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/51560-convert-a-number-from-factorial-notation-to-base-10"><span style=""><span style="">Cody Problem 51560</span></span></a><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: 318.25px 7.91667px; transform-origin: 318.25px 7.91667px; unicode-bidi: normal; "><span style=""> asks you to convert a number from factorial notation to base 10. This problem is the companion: Write a function to convert a number from base 10 to factorial notation with a tolerance </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: 3.85px 7.91667px; transform-origin: 3.85px 7.91667px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; ">p</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: 49.775px 7.91667px; transform-origin: 49.775px 7.91667px; unicode-bidi: normal; "><span style=""> that defaults to </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" alt="10^{-4}" style="width: 30px; height: 19.5px;" width="30" height="19.5"></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: 50.5583px 7.91667px; transform-origin: 50.5583px 7.91667px; unicode-bidi: normal; "><span style=""> if not specified. </span></span></div><div style="block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 361.758px 7.91667px; transform-origin: 361.758px 7.91667px; unicode-bidi: normal; "><span style="">Given 463, your function should return the character string ‘34101’, and given 23/24 (and the default tolerance), your function should return ‘0.123’. As in the previous problem, use A, B, C, etc. for digits greater than 9, and take the first place after the decimal point to be the 1/2! place.</span></span></div></div></div>

Solve

Solution Stats

51 Solutions
6 Solvers

Last Solution submitted on May 10, 2022

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Nikolaos Nikolaou on 26 Apr 2021

is it me or there are issues with the tolerance?

ChrisR on 26 Apr 2021

Nikolaos, what problems did you encounter?

goc3 on 10 May 2022

This, and its companion problem, are a great challenge. Well done.

Problem Recent Solvers6

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 51565. Convert a number from base 10 to factorial notation

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers6

Suggested Problems

More from this Author190

Problem Tags

Community Treasure Hunt

Problem 51565. Convert a number from base 10 to factorial notation

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers6

Suggested Problems

More from this Author190

Problem Tags

Community Treasure Hunt

Players