Concept:
Digital circuits are partitioned based on whether they can "remember" previous states or if they process information instantaneously.
• Combinational Logic: Output = $f(\text{Present Inputs})$.
• Sequential Logic: Output = $f(\text{Present Inputs, Past State})$.
Step 1: Understanding Combinational Logic.
In a combinational circuit, the output changes as soon as the inputs change (after a small propagation delay).
There is no feedback loop, so the circuit "forgets" everything once the inputs are removed.
Step 2: Analyzing the other options.
Sequential circuits (A), Registers (C), and Flip-flops (D) all use memory elements.
They require a clock signal to synchronize the transition of stored states.
Step 3: Final Identification.
Since the question specifies "without memory," the answer must be Combinational.