I'm assuming that you're referring to the Elias gamma code. This code is a prefix code, also known as a self-terminating code. This means that you can encode a sequence of numbers by simply concatenating the encodings of the individual numbers. Since the code is self-terminating, the concatenated encoding can be decoded into the encodings of the individual numbers.
A prefix code is a code in which no codeword is a prefix of another codeword. This allows you to decode the list as follows. Read bits until you reach a prefix of the encoding which constitutes a codeword. This encodes the first number. Remove and repeat.
Finally, let me stress that the Elias gamma code is a way of encoding numbers using a string of bits. When you write 0001100, you should think of it as a string of 7 bits. Eventually these bits will be decomposed into 8-bit chunks (knows as bytes) and stored or communicated in this way – as a string of bytes.