For an automated machine tool or production process, four basic elements are required: input interface, memory, output interface, and which additional core element that performs decision-making?

Introduction / Context:
Every automated system needs to sense, decide, and act. The input interface acquires signals; the output interface drives actuators; memory stores data/parameters. The missing cornerstone is the logic element that evaluates inputs and state to compute outputs in real time.

Given Data / Assumptions:

• Automation includes PLCs, embedded controllers, CNCs, and DCS nodes.
• Logic can be implemented in hardware, firmware, or software.
• We are identifying a category, not a specific tool.

Concept / Approach:
The logic element (controller) executes control laws and sequences: boolean logic, timers, PID, and interlocks. While “software” may implement logic, the essential architectural role is decision-making, not merely the medium. Hence “logic” is the neutral, correct descriptor across implementations.

Step-by-Step Solution:
1) List the three given elements: inputs, memory, outputs. 2) Identify the missing role: compute/decide actions from inputs and state. 3) Name this role “logic,” the controller’s function. 4) Choose “Logic” as the complementary fourth element.

Verification / Alternative check:
Controller block diagrams universally show Input → Logic/CPU → Output with Memory supporting parameters and history, confirming the categorization.

Why Other Options Are Wrong:
Option B: Software is one implementation of logic but not the architectural role itself.
Option C: NC tape is an input medium, not the core decision element.
Option D: A graphics workstation is a design tool, not part of machine control.

Common Pitfalls:
Equating media (software, tape) with functional roles; architecture names the function (logic), independent of realization.

Final Answer:
Logic