Final answer:
The bit pattern in the program counter when the machine halts is 03.
Step-by-step explanation:
To determine the bit pattern in the program counter when the machine halts, we need to follow the execution of the program. The machine starts with the program counter containing 00. The contents of address 00 are 2001, which means that the program counter will be set to the next instruction, which is 02. The contents of address 02 are 2103, so the program counter will be set to 03. This process continues until the machine halts.
Following the execution of the program, the final bit pattern in the program counter when the machine halts is 03.