Given two *binary* signed or unsigned integers (`A`

and `B`

) and their sum
or difference (`sum`

), returns the carry-in which happened at each bit
position during the addition or subtraction. You can use this on any
matching subset of bits of `A`

, `B`

, and `sum`

.

Figuring out the carry-ins has uses for sub-word bit-parallel computations,
such as determining if a vector byte addition overflowed into the adjacent
byte, but the main use is to get the carry-in *into* the most-significant
bit of a sum. Comparing the final carry-in with the final carry-out allows
us to determine if a signed overflow occured, and to compute other
arithmetic predicates (e.g.:
less-than, greater-than-or-equal, etc...)

`default_nettype none module CarryIn_Binary #( parameter WORD_WIDTH = 0 ) ( input wire [WORD_WIDTH-1:0] A, input wire [WORD_WIDTH-1:0] B, input wire [WORD_WIDTH-1:0] sum, output reg [WORD_WIDTH-1:0] carryin ); initial begin carryin = 1'b0; end

Re-add the two integers without carries, which is merely XOR, then compare
that carry-less sum with the input `sum`

(this is also an XOR). If the sums
differ, then a carry-in was present at that bit position during the input
`sum`

.

always @(*) begin carryin = A ^ B ^ sum; end endmodule