Every XOR function has equal numbers of 0 and 1 entries in the truth table and no reducible minterms. This is true for an arbitrary number of inputs. Furthermore, if you hold one of the inputs of a ...

From this truth table, we can see the most-significant digits are both 1, returning a 0, while only one of the least-significant digits is a 1, so the comparison returns a 1.

The XOR returns a 1 when only one of the two digits is a 1, otherwise, it returns a zero for that position. Let’s say the coordinates were 3, 2. Converted to binary we have 0b11 and 0b10.

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