.Net BitArray serialization and deserialization example in Unity. A lot of room for improvement, but that's the gist.

BitArrayTest

using UnityEngine;
using System.Collections;

public class BitArrayTest : MonoBehaviour
{
	// Use this for initialization
	void Start ()
	{
		BitArray array = new BitArray( new bool[]{true, false, true, true, false, false} );
		Debug.Log( StrBits(array) );

		string str = Serialize( array );
		Debug.Log( str );

		array = Deserialize( str );
		Debug.Log( StrBits(array) );
	}

	string StrBits( BitArray array )
	{
		string result = "";

		foreach( bool bit in array )
		{
			if( bit )
				result += "1";
			else
				result += "0";
		}

		return result;
	}

	string Serialize( BitArray array )
	{
		byte[] byteArray = new byte[array.Length/8+1];
		array.CopyTo( byteArray, 0 );
		return System.Text.Encoding.UTF8.GetString( byteArray );
	}

	BitArray Deserialize( string str )
	{
		byte[] byteArray = System.Text.Encoding.UTF8.GetBytes( str );
		return new BitArray( byteArray );
	}
}