{"id":51,"date":"2021-09-14T02:59:38","date_gmt":"2021-09-14T02:59:38","guid":{"rendered":"http:\/\/thorshov.net\/?p=51"},"modified":"2021-12-10T18:34:33","modified_gmt":"2021-12-10T18:34:33","slug":"recursive-radix-calculations","status":"publish","type":"post","link":"https:\/\/thorshov.net\/index.php\/2021\/09\/14\/recursive-radix-calculations\/","title":{"rendered":"Recursive Radix Calculations"},"content":{"rendered":"\n
My daughter and I share a special number - 823.  We text it to eachother when the clock says 8:23 or leave a little note with it there.  We also share other instances of the number that we come accross. I sent these photos to her recently:<\/pre>\n\n\n\n
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The address is 823<\/figcaption><\/figure><\/div>\n<\/div>\n\n\n\n
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823 in Binary  1100110111<\/figcaption><\/figure><\/div>\n<\/div>\n<\/div>\n\n\n\n
It's a nice way to let each other know that we are thinking about one another.  Lately, I was wondering what 823 looked like in other bases besides decimal(10) and binary(2). So I wrote a recursive javascript function called convert to do the job.  The user can enter a decimal number and new base to see the equivelant value with the new radix.<\/pre>\n\n\n\n
<!DOCTYPE HTML>\n<html>\n<script>\n   function doit(){\n      var decimal = parseInt(document.getElementById('decimal').value);\n      var newBase = parseInt(document.getElementById('newBase').value);\n      var output = document.getElementById('output');\n      if(newBase > 1 && newBase <10)      \n         output.innerHTML = convert(decimal, newBase);\n   }\n   \n   function convert(quotient, base){\n      if(quotient > 0){\n        var remainder = quotient % base;\n        return convert(parseInt(quotient \/ base), base) + remainder.toString();\n      }\n      return '';\n   }\n<\/script>\n<body>\n    Decimal: <input type=\"text\" id=\"decimal\">\n    New Base:   <input type=\"text\" id=\"newBase\">\n    <button type=\"button\" label=\"doit\" onclick=\"doit();\">do it<\/button>\n    <div id=\"output\"><\/div>\n<\/body>\n<\/html><\/code><\/pre>\n\n\n\n
And here is the result.  You can enter a decimal number and a base between 2 and 9 inclusively. <\/pre>\n\n\n\n