A circuit outputs a digit in the form of 4 bits. 0 is represented by 0000, 1 by 0001,...9 by 1001. A combinational circuit is to be designed which takes these 4 bits as input and outputs 1 if the digit $\ge$ 5, and 0 otherwise. If only AND, OR and NOT gates may be used, what is the minimum number of gates required?
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