mongos> BinData(0, hexToBase64(pad((5).toString(16), 24, 0)))
BinData(0,"AAAAAAAAAAAAAAAF")

//custom JS function definition begins:

function pad(n, width, z) {
  z = z || '0';
  n = n + '';
  return n.length >= width ? n : new Array(width - n.length + 1).join(z) + n;
}

  function btoa(bin) {
	var tableStr = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
	var table = tableStr.split("");
    for (var i = 0, j = 0, len = bin.length / 3, base64 = []; i < len; ++i) {
      var a = bin.charCodeAt(j++), b = bin.charCodeAt(j++), c = bin.charCodeAt(j++);
      if ((a | b | c) > 255) throw new Error("String contains an invalid character");
      base64[base64.length] = table[a >> 2] + table[((a << 4) & 63) | (b >> 4)] +
                              (isNaN(b) ? "=" : table[((b << 2) & 63) | (c >> 6)]) +
                              (isNaN(b + c) ? "=" : table[c & 63]);
    }
    return base64.join("");
  };

function hexToBase64(str) {
  return btoa(String.fromCharCode.apply(null,
    str.replace(/\r|\n/g, "").replace(/([\da-fA-F]{2}) ?/g, "0x$1 ").replace(/ +$/, "").split(" "))
  );
}