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// 4-bit arithmetic logic unit
// Notes:
//
// - can be used with active-high or active-low data convention (see datasheet);
// for many of the Select inputs, the data convention used affects the operation performed;
// however, the following operations are consistent and unaffected by active-high or active-low:
// Select == 1001 (Add)
// Select == 0110 (Subtract)
// Select == 1100 (A PLUS A or Shift Left)
// Select == 0011 (MINUS 1)
//
// - Mode == 0 is for arithmetic (carry is included in calculations);
// Mode == 1 is for logic (carry is irrelevant)
//
// - C_in, C_out carry signals are inverted compared to A, B and F signals;
// for example, with active-high data, A_bar == 0 means zero, C_in == 1 means no carry in
//
// - CP_bar output is carry propagate to another unit (for carry lookahead across multiple units);
// CG_bar output is carry generate to another unit ( " " )
//
// - Equal flag output is a valid comparator output only in a specific configuration:
// the operation must be Select == 0110 (Subtract) with C_in == 1;
// also in this configuration, Equal and C_out can be used together to indicate B < A or B > A
//
// * refer to test bench file 74181-tb.v that comes with your 74181 device for notes
// and functional specs, before you attempt to create a fully working circuit
module ttl_74181 #(parameter WIDTH = 4, DELAY_RISE = 0, DELAY_FALL = 0)
(
input [3:0] Select,
input Mode,
input C_in,
input [WIDTH-1:0] A_bar,
input [WIDTH-1:0] B_bar,
output CP_bar,
output CG_bar,
output Equal,
output C_out,
output [WIDTH-1:0] F_bar
);
//------------------------------------------------//
reg CP_computed;
reg CG_computed;
wire Equal_computed;
reg C_computed;
reg [WIDTH-1:0] F_computed;
wire [WIDTH-1:0] P_internal;
wire [WIDTH-1:0] G_internal;
wire [WIDTH-1:0] C_internal;
wire [WIDTH-1:0] CG_internal;
// structural declaration using gates and wires (see datasheet for the schematic):
generate
genvar i;
for (i = 0; i < WIDTH; i = i + 1)
begin: gen_internals
wire [WIDTH-1:0] C_and_P_term;
wire [WIDTH-1:0] P_and_G_term;
wire [WIDTH-1:0] G_term;
// first layer: internal propagate and generate signals from each A, B bit pair
// used for all further computations (function output F, carry output C,
// carry lookahead outputs CP and CG)
//
assign P_internal[i] = ~(A_bar[i] & ~B_bar[i] & Select[2] | A_bar[i] & B_bar[i] & Select[3]);
assign G_internal[i] = ~(A_bar[i] | B_bar[i] & Select[0] | ~B_bar[i] & Select[1]);
// second layer: internal carry signals from the carry in and propagate and generate signals,
// used for computation of F bits (these are for arithmetic functions only;
// for logic functions the Mode signal inhibits all C_internal outputs)
//
// the generated code has this structure:
// C_internal[0] = ~(C_in);
// C_internal[1] = ~(C_in & P_internal[0] |
// G_internal[0]);
// C_internal[2] = ~(C_in & P_internal[0] & P_internal[1] |
// P_internal[1] & G_internal[0] |
// G_internal[1]);
// C_internal[3] = ~(C_in & P_internal[0] & P_internal[1] & P_internal[2] |
// P_internal[1] & P_internal[2] & G_internal[0] |
// P_internal[2] & G_internal[1] |
// G_internal[2]);
//
if (i == 0)
begin
assign C_and_P_term[i] = C_in & !Mode;
end
else
begin
localparam i_minus_1 = i - 1;
assign C_and_P_term[i] = C_in & (&P_internal[i_minus_1:0]) & !Mode;
assign G_term[i] = G_internal[i_minus_1] & !Mode;
if (i > 1)
begin
genvar j;
for (j = 0; j < i_minus_1; j = j + 1)
begin: gen_P_and_G_term
localparam j_plus_one = j + 1;
// these terms will be joined by | below:
assign P_and_G_term[j] = (&P_internal[i_minus_1:j_plus_one]) & G_internal[j] & !Mode;
end
end
end
// internal carry signals aggregated from the above terms
if (i == 0)
begin
assign C_internal[i] = ~C_and_P_term[i];
end
else if (i == 1)
begin
assign C_internal[i] = ~(C_and_P_term[i] | G_term[i]);
end
else
begin
assign C_internal[i] = ~(C_and_P_term[i] | (|P_and_G_term[(i - 2):0]) | G_term[i]);
end
// second layer, separate section: internal carry generate signals from the
// propagate and generate signals, used for computation of:
// carry output C, carry lookahead output CG
//
// the generated code has this structure (terms are then joined by |):
// CG_internal[0] = P_internal[1] & P_internal[2] & P_internal[3] & G_internal[0];
// CG_internal[1] = P_internal[2] & P_internal[3] & G_internal[1];
// CG_internal[2] = P_internal[3] & G_internal[2];
// CG_internal[3] = G_internal[3];
//
if (i < WIDTH - 1)
begin
assign CG_internal[i] = (&P_internal[(WIDTH - 1):(i + 1)]) & G_internal[i];
end
else
begin
assign CG_internal[i] = G_internal[i];
end
end
endgenerate
always @(*)
begin
// third layer: carry lookahead bits aggregated from the above terms
CP_computed = ~(&P_internal);
CG_computed = ~(|CG_internal);
// third layer: carry bit
C_computed = C_in & (&P_internal) | (|CG_internal);
// third layer: F bits
F_computed = P_internal ^ G_internal ^ C_internal;
end
// output
assign Equal_computed = &F_computed;
//------------------------------------------------//
assign #(DELAY_RISE, DELAY_FALL) CP_bar = CP_computed;
assign #(DELAY_RISE, DELAY_FALL) CG_bar = CG_computed;
assign #(DELAY_RISE, DELAY_FALL) Equal = Equal_computed;
assign #(DELAY_RISE, DELAY_FALL) C_out = C_computed;
assign #(DELAY_RISE, DELAY_FALL) F_bar = F_computed;
endmodule