You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "is_perfect_square", "description": "Checks if a number is a perfect square.", "parameters": {"num": {"description": "The number to check.", "type": "int"}}}, {"name": "numerical_derivative", "description": "Estimates the derivative of a function at a given point using the central difference formula.", "parameters": {"function": {"description": "The function to calculate the derivative of.", "type": "Callable[[float], float]"}, "x": {"description": "The point at which to estimate the derivative.", "type": "float"}}}, {"name": "binary_addition", "description": "Adds two binary numbers and returns the result as a binary string.", "parameters": {"a": {"description": "The first binary number.", "type": "str"}, "b": {"description": "The second binary number.", "type": "str"}}}, {"name": "create_histogram", "description": "Create a histogram based on provided data.", "parameters": {"data": {"description": "The data for which histogram needs to be plotted.", "type": "list", "default": 10}, "bins": {"description": "The number of equal-width bins in the range. Default is 10.", "type": "int", "default": 10}}}, {"name": "independent_samples_t_test", "description": "Conducts a two-sample independent t-test and returns the t-statistic, p-value, and conclusion.", "parameters": {"sample1": {"description": "The first sample of observations.", "type": "List[float]", "default": 0.05}, "sample2": {"description": "The second sample of observations.", "type": "List[float]", "default": 0.05}, "alpha": {"description": "The significance level of the test. Defaults to 0.05.", "type": "float, optional"}}}, {"name": "is_valid_sudoku", "description": "Checks if a 9x9 Sudoku board is valid.", "parameters": {"board": {"description": "The Sudoku board represented as a 2D list of strings.", "type": "List[List[str]]"}}}]
Add the binary numbers 1101 and 1011. Also, create a histogram for the data set [1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 6, 6, 7] with 5 bins.
user
assistant
[{"name": "binary_addition", "arguments": {"a": "1101", "b": "1011"}}, {"name": "create_histogram", "arguments": {"data": [1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 6, 6, 7], "bins": 5}}]