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geolocation - How to base64 encode inside of javascript

I am trying to implement a simple script on a site that will return base64 encoded information from google's ajax API. This is what I am playing with so far:

<html>
<head>
<script src="http://www.google.com/jsapi?key=ABQIAAAA0duujonFsEX871htGWZBHRS76H0qhS7Lb-D1Gd0Mnaiuid8Z7BQIyz2kMpojKizoyiCQA4yRkKAKug" type="text/javascript"></script>
<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.3.2/jquery.min.js"></script>
<script type="text/javascript">
  jQuery(document).ready(function() {
    var location = 'Unable to determine your location.';
    if (google.loader.ClientLocation) {
      var loc = google.loader.ClientLocation;
      location = 'Country: <strong>' + loc.address.country + '</strong>, Region: <strong>' + loc.address.region + '</strong>, City: <strong>' +
                 loc.address.city + '</strong>, Lat/Long: <strong>' + loc.latitude + ', ' + loc.longitude + '</strong>';
    }
    jQuery('.geolocation').html(location);
  });
</script>
</head>
<body>
<span class="geolocation"></span>
</body>
</html>

It returns the info I am trying to get properly, but I need to base64 encode the separate parts such as country, region, city, lat and longitude. In php it would be simple, but I cannot figure out how to do it in javascript. Any help would be appreciated.

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Mozilla, WebKit and Opera all have btoa() and atob() functions for base 64 encoding and decoding respectively. Use those where possible because they will almost certainly be massively faster than a JavaScript implementation and fall back to one of the many scripts that turn up when you do a web search.

EDIT 10 SEPTEMBER 2013: atob() and btoa() do not handle Unicode characters outside the ASCII range. MDN has workarounds but I can't vouch for them. Thanks to @larspars for pointing this out.

For example, if you were using the example from amphetamachine's answer, you could do the following:

if (!window.btoa) {
    window.btoa = function(str) {
        return Base64.encode(str);
    }
}

if (!window.atob) {
    window.atob = function(str) {
        return Base64.decode(str);
    }
}

alert( btoa("Some text") );

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