I'm new to Verilog. Here's what I have done so far and the 4-bit CLA works. However, the 16-bit (using instances of 4-bit CLA) doesn't. The problem is definitely in setting the Cout_itermed
(intermediate carries) values from block propagate (BP
) and block generate (BG
). I've created a module carries
to deal with this.
In Xilinx ISE, the output waveform shows up as this (no wave shown):
module CLA_4bit(
output [3:0] S,
output Cout, PG, GG,
input [3:0] A, B,
input Cin
);
wire [3:0] G,P,C;
assign G = A & B; //Generate
assign P = A ^ B; //Propagate
assign C[0] = Cin;
assign C[1] = G[0] | (P[0] & C[0]);
assign C[2] = G[1] | (P[1] & G[0]) | (P[1] & P[0] & C[0]);
assign C[3] = G[2] | (P[2] & G[1]) | (P[2] & P[1] & G[0]) | (P[2] & P[1] & P[0] & C[0]);
assign Cout = G[3] | (P[3] & G[2]) | (P[3] & P[2] & G[1]) | (P[3] & P[2] & P[1] & G[0]) |(P[3] & P[2] & P[1] & P[0] & C[0]);
assign S = P ^ C;
assign PG = P[3] & P[2] & P[1] & P[0]; // block generate
assign GG = G[3] | (P[3] & G[2]) | (P[3] & P[2] & G[1]) | (P[3] & P[2] & P[1] & G[0]); // block propagate
endmodule
module CLA_16bit(
output reg [15:0] S,
output reg Cout,
input [15:0] A, B,
input Cin
);
reg [3:0] BP, BG;
reg [3:0] Cout_itermed;
carries my_carries(BP, GP, Cin, Cout_itermed, Cout);
CLA_4bit cla0(S[3:0], Cout_itermed[0], BP[0], BG[0], A[3:0], B[3:0], Cin);
CLA_4bit cla1(S[7:4], Cout_itermed[1], BP[1], BG[1], A[7:4], B[7:4], Cout_itermed[0]);
CLA_4bit cla2(S[11:8], Cout_itermed[2], BP[2], BG[2], A[11:8], B[11:8], Cout_itermed[1]);
CLA_4bit cla3(S[15:12], Cout_itermed[3], BP[3], BG[3], A[15:12], B[15:12], Cout_itermed[2]);
Cout = Cout_itermed[3];
endmodule
module carries (
input [3:0] BP,
input [3:0] BG,
input Cin,
output reg [3:0] Cout_itermed,
output reg Cout
);
assign Cout_itermed[0] = BG[0] | (BP[0] & Cin);
assign Cout_itermed[1] = BG[1] | (BP[1] & Cout_itermed[0]);
assign Cout_itermed[2] = BG[2] | (BP[2] & Cout_itermed[1]);
assign Cout = Cout_itermed[3];
endmodule
The waveform does show up (and correctly) when I run a test bench of the 4 bit CLA. Could anyone explain where the problem lies in the carries
or the CLA_16bit
module?
Cout_itermed
has two drivers - the first being the Cout
outputs of a CLA_4bit
, and the second being the Cout_itermed
output of the carries
module.
The same applies to Cout
in CLA_16bit
(though it's two drivers end up being the same signal, Cout_itermed[3]
, in CLA_16bit
and carries
).
Remember that in Verilog you're describing physical circuitry, and you should never have two sources (drivers) connected to the same wire - that's how we get short circuits!
The following is based on https://en.wikipedia.org/wiki/Lookahead_carry_unit#16-bit_adder.
What you'll want to do is define remove the Cout_itermed[x]
from the Cout
port in the CLA_16bit
s (you can just leave the port hanging). You should move the logic to determine Cout_itermed[3]
(i.e. BG[3] | (BP[3]&Cout_itermed[2])
) to the carries
module.