Reduction Operators

Operator Operation Examples

Symbol Performed ain = 5’b10101, bin = 4’b0011

cin = 3’bZ00, din = 3’bX011

& And all bits &ain = 1’b0, &din = 1’b0

~& Nand all bits ~&ain = 1’b1

| Or all bits |ain = 1’b1, |cin = 1’bX

~| Nor all bits ~|ain = 1’b0

^ Xor all bits ^ain = 1’b1

~^ or ^~ Xnor all bits ~^ain = 1’b0

• Reduces a vector to a single bit

• X or Z are considered unkown, but result maybe a known value
  • Example: &din results in 1’b0

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