-For the circuit in Figure 4- 1, X = 0 whenever A = 0, regardless of the levels applied to inputs B and C.

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In a typical digital logic circuit, if X is an output that depends on inputs A, B, and C, and the statement says "X = 0 whenever A = 0, regardless of the levels applied to inputs B and C," it implies that A is a controlling input in a configuration such as an AND gate or a similar setup where the output is determined to be 0 if A is 0, no matter the states of B and C. This behavior is characteristic of circuits where the presence of a '0' on a critical input can define the output independently of other inputs.

-For the Circuit in Figure 4- 1, X = 0