Turing Complete unsigned less & signed less

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in unsigned less we are looking into numbers from 0 to 255, note that red in here means "lesser". you may find the idea from here in signed less we are looking into numbers from -128 to 127. 1st we copy the circuit from unsigned less, and change the XNOR gate into XOR gate at the 8th bit, also note that green in here means "lesser". you may find the idea from here

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