Hello I need help with xy xor z, do I do the logic AND first or the XOR, no parenthesis. Thank You
Boolean expression to logic gates
boolean algebra
Usually, an operator that's written implicitly by just putting the operands next to each other (e.g., $xy$ for $x\land y$ in logic or $x\times y$ in arithmetic) has precedence over binary operators that are written out explicitly (e.g., $\lor$ or $\oplus$ in logic, or $+$ in arithmetic). Indeed, any author who uses a different convention to that needs a good stern talking to.  But note that it is only a convention.So the expression in the question means $(xy)\oplus z$, unless the person who wrote it hates us. This view is reinforced by the fact that logical and is multiplication modulo 2, and xor is addition modulo 2 and we'd expect multiplication to have precedence over addition.