Several groups of researchers have begun to explore the feasibility of mechanical computing systems. Furthermore, studies on reversible computing have suggested that mechanical logic systems can theoretically be designed such that the energy dissipation in the system can be arbitrarily small 13, 14 (i.e., the computations consume nearly zero energy). As a result, such devices generate no electromagnetic signature and are highly insensitive to radiation damage. A major advantage of micro-mechanical logic devices 11, 12 is that they utilize energy in a mechanical form and require no electrical power source or electronic components. Logic devices on an even smaller scale have also been proposed and studied, such as molecular logic gates 9 and quantum logic gates 10. Such micro-scale devices include MEMS (micro-electro-mechanical system) logic gates 2, 3 and switches 4, all-optical logic gates 5, microfluidic logic devices based on droplets 6 and bubbles 7, and magnetic bubble logic devices 8. To overcome limitations of semiconductor electronics (e.g., unstable performance and failure in extreme environments 1), researchers have been seeking alternative computational approaches and logic computing devices on small enough scales to perform sufficiently fast calculations in a compact space. A key benefit of the proposed approach is that such systems can be additively fabricated as embedded parts of microarchitected metamaterials that are capable of interacting mechanically with their surrounding environment while processing and storing digital data internally without requiring electric power. The proposed mechanical logic gates (i.e., NOT, AND, OR, NAND, and NOR gates) utilize multi-stable micro-flexures that buckle to perform Boolean computations based purely on mechanical forces and displacements with no electronic components. Here we propose a new digital mechanical computation approach based on additively-manufacturable micro-mechanical logic gates. Although electronic computers became dominant in the past 60 years, recent advancements in three-dimensional micro-additive manufacturing technology provide new fabrication techniques for complex microstructures which have rekindled research interest in mechanical computations. $= \int_\, x(t) x^* (t)\,dt $ then two signals are said to be orthogonal.Early examples of computers were almost exclusively based on mechanical devices. It relates input, output and impulse response of an LTI system as Convolution is a mathematical operation used to express the relation between input and output of an LTI system.
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