code: def _binary_matrix_from_pws(terms, num_qubits, wire_map=None):
      r"""Get a binary matrix representation from a list of PauliWords where each row corresponds to a
      Pauli term, which is represented by a concatenation of Z and X vectors.
  
      Args:
          terms (Iterable[~.PauliWord]): operators defining the Hamiltonian
          num_qubits (int): number of wires required to define the Hamiltonian
          wire_map (dict): dictionary containing all wire labels used in the Pauli words as keys, and
              unique integer labels as their values
  
      Returns:
          array[int]: binary matrix representation of the Hamiltonian of shape
          :math:`len(terms) * 2*num_qubits`
  
      **Example**
  
      >>> from pennylane.pauli import PauliWord
      >>> wire_map = {'a':0, 'b':1, 'c':2, 'd':3}
      >>> terms = [PauliWord({'a': 'Z', 'b': 'X'}),
      ...          PauliWord({'a': 'Z', 'c': 'Y'}),
      ...          PauliWord({'a': 'X', 'd': 'Y'})]
      >>> _binary_matrix_from_pws(terms, 4, wire_map=wire_map)
      array([[1, 0, 0, 0, 0, 1, 0, 0],
             [1, 0, 1, 0, 0, 0, 1, 0],
             [0, 0, 0, 1, 1, 0, 0, 1]])
      """
      if wire_map is None:
          all_wires = qml.wires.Wires.all_wires(
              [term.wires for term in terms], sort=True
          )
          wire_map = {i: c for c, i in enumerate(all_wires)}
  
      binary_matrix = np.zeros((len(terms), 2 * num_qubits), dtype=int)
      for idx, pw in enumerate(terms):
          for wire, pauli_op in pw.items():
              if pauli_op in ["X", "Y"]:
                  binary_matrix[idx][wire_map[wire] + num_qubits] = 1
              if pauli_op in ["Z", "Y"]:
                  binary_matrix[idx][wire_map[wire]] = 1
  
      return binary_matrix
  
imports: from functools import lru_cache, reduce, singledispatch
  from itertools import product
  from typing import List, Union
  from warnings import warn
  import numpy
  import pennylane
  from pennylane.operation import Tensor
  from pennylane.ops import Hamiltonian, Identity, PauliX, PauliY, PauliZ, Prod, SProd
  from pennylane.tape import OperationRecorder
  from pennylane.wires import Wires
label_desc: Use image node_id 31 for calling a global function with example usage: _binary_matrix_from_pws(terms, num_qubits, wire_map) and returns: binary_matrix