There are ways to mask off the don't care bits. Say your example, 0b11xx1111. Then
incomingByte = Serial.read();
incomingByte = incomingByte || 0b00110000; // make 4, 5 high
if (incomingByte === 0b11111111){
// got all 1s, do something
}
else {
// some 0s received, do something else
}