Re: Conversion from UTF32 to UTF8 for review

I used the two tables from this link as the basis for my design:
http://en.wikipedia.org/wiki/UTF-8

I would like this reviewed for algorithm correctness:

void UnicodeEncodingConversion::
toUTF8(std::vector<uint32_t>& UTF32, std::vector<uint8_t>& UTF8) {
uint8_t Byte;
uint32_t CodePoint;
  UTF8.reserve(UTF32.size() * 4); // worst case
  for (uint32_t N = 0; N < UTF32.size(); N++) {
    CodePoint = UTF32[N];

    if (CodePoint <= 0x7F) {
      Byte = CodePoint;
    UTF8.push_back(Byte);
    }
    else if (CodePoint <= 0x7FF) {
      Byte = 0xC0 | (CodePoint >> 6);
      UTF8.push_back(Byte);
      Byte = 0x80 | (CodePoint & 0x3F);
      UTF8.push_back(Byte);
    }
    else if (CodePoint <= 0xFFFF) {
      Byte = 0xE0 | (CodePoint >> 12);
      UTF8.push_back(Byte);
      Byte = 0x80 | ((CodePoint >> 6) & 0x3F);
      UTF8.push_back(Byte);
      Byte = 0x80 | (CodePoint & 0x3F);
      UTF8.push_back(Byte);
    }
    else if (CodePoint <= 0x10FFFF) {
      Byte = 0xF0 | (CodePoint >> 18);
      UTF8.push_back(Byte);
      Byte = 0x80 | ((CodePoint >> 12) & 0x3F);
      UTF8.push_back(Byte);
      Byte = 0x80 | ((CodePoint >> 6) & 0x3F);
      UTF8.push_back(Byte);
      Byte = 0x80 | (CodePoint & 0x3F);
      UTF8.push_back(Byte);
    }
    else
      printf("%d is outside of the Unicode range!\n", CodePoint);
  }
}