Write a function countDigits(string), which returns the number of digits in the input string

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Write a function countDigits(string), which returns the number of digits in the input string. For instance: countDigits(“1,... red, 2, green;’x?,34, Blue”) -> 4
2. (1/ points) A sequence of numbers is defined by the following recursive formula: (a_n=a_n-1*n/a_n-1-2)
n
Gm = Gna XG
with a₀ = 1. Write a generator myNumbers (max), which will generate subsequent numbers of
the sequence starting from 0" to max - 1. For example:
for num in myNmbers(5):
print(num)
generates values:1, -1.0, 0.666, -1.4999, 1.7142857

4. (29 points) A logic circuit is given composed trom AND, OR, and NOT logic gates
(https://en.wikipedia.org/wiki/Logic gate). Write a function circutResponse(circuit,
inputVector), which computes the circuit response for a given binary vector.

The circuit description ts given as the list of tuples, where the first tuple contains the list of circuit
inputs i.e., numbers of nodes to which bits of the input vector are applied. Each of the remaining
tuples contains the following information about a single gate:
¢ nodes to which inputs of the gate are connected (non-negative integers)
© gate type: {AND, OR, NOT} (string of characters)
e number of node to which the gate output is connected (non-negative integer)
For Instance, the following list [(23, 4, 1, 11, 8), (13, ‘NOT’, 17), (23, 1,
‘OR’, 29), (17, 29, ‘AND’, 2), (2, ‘NOT’, 7), (8, 11, 4, ‘AND’, 13)]
describes the following logic circuit:
fh = ED
2 7
4 29
23
1
Note that you cannot make any assumptions about the node numbering and the gate order on
the list.
Examples:
circuit = [(23, 4, 1, 11, 8), (13, ‘NOT’, 17), (238, 1, ‘OR’, 29), (17,
29, ‘AND’, 2), (2, ‘NOT’, 7), (8, 11, 4, ‘AND’, 13)]
circutResponse(circuit, ‘11010’) -> 0