A sequential machine's outputs depend on (A) current values of the inputs as well as the present state. (B) current, as well as past, inputs (i.e. the input string to date) (C) present state and present input. (D) all of the above.

A sequential machine is a fascinating concept in the world of automata theory! Its behavior is defined not only by the current inputs but also by the state it finds itself in, highlighting the intricacies of memory in computation. This relationship between present input and state allows sequential machines to make decisions that involve the history of inputs, resulting in outputs that can change over time based on previous states! In real-world applications, sequential machines are akin to the way smartphones process touch commands. When you swipe your finger across the screen, the device remembers the previous swipes and coordinates, allowing it to fluidly interpret your gestures and respond accordingly. This is what makes interactions with technology feel responsive and intuitive; the machine is not just reacting to the present but to a sequence of past actions!