
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The numbers we commonly use are decimal numbers, such as $2639 = 2 \times 10^3 + 6 \times 10^2 + 3 \times 10^1 + 9 \times 10^0$, which means to represent a decimal number, we use 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. In electronic digital computers, binary is used, which only requires two digits: 0 and 1. For example, in binary, $101 = 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0$ equals the decimal number 5, $10111 = 1 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 1 \times 2^0$ equals the decimal number 23. Then, what is the decimal equivalent of the binary number $1101$?

Present the answer in LaTex format: \boxed{Your answer}
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