Alu code

[11/09, 06:26] Harish Exinc: How nice if Harush had opened p4 laptop and shown abacus next and said it was more human? In 2000 with Janani

[11/09, 07:22] Harish Exinc: Till now I was talking about a project in mind but this was unknown project in Brother sister relation.. to make computers human

[11/09, 07:23] Harish Exinc:

We have to make a chip and then connect to microcontroller or microprocessor and then

AbacusAluandAi

Abacus alu and ai nodes for partial increased economic performance

I dont have assembly circuit for asm but have fpga and arduino

https://amzn.in/d/00tVq2HX

We need to make abacus asm to make robots do anything but dances

Robots and humanoids will be more profitable with a standalone abacus alu or area in full processor or ai chip or ai code using 10% abacalu

Import from abacuschip *

For i in range (10):

Print(a*b)

print(a abacus mult b)

An abacus (specifically the modern 1:4 Soroban) calculates in bi-quinary decimal:

• Upper deck (Heaven bead): 1 bead representing a weight of 5 (0 or 1 active).

• Lower deck (Earth beads): 4 beads representing weights of 1 each (0 to 4 active).

A digital chip implementation models each rod using bi-quinary registers: a 1-bit upper bead (upper) and a 3-bit count for lower beads (lower, range 0–4), forming a base-10 digit rod with the value:

Below is a complete, synthesizable Verilog HDL module for an Abacus-based ALU (supporting Addition, Subtraction, and Inversion/9's Complement) along with carry/borrow propagation.

Verilog HDL: Bi-Quinary Abacus ALU (abacus_alu.v)

`timescale 1ns / 1ps

module abacus_alu (

input wire clk,

input wire rst_n,

// Control Opcode:

// 2'b00: ADD (A + B + Cin)

// 2'b01: SUB (A - B - Bin)

// 2'b10: 9's Complement of A

// 2'b11: Clear/Zero

input wire [1:0] alu_op,

// Operands in Abacus Rod Format:

// upper: 1-bit (0 = inactive, 1 = bead down / value 5)

// lower: 3-bit (0 to 4 beads pushed toward beam)

input wire op_a_upper,

input wire [2:0] op_a_lower,

input wire cin_bin, // Carry-in (ADD) or Borrow-in (SUB)

input wire op_b_upper,

input wire [2:0] op_b_lower,

// Results in Abacus Rod Format:

output reg res_upper,

output reg [2:0] res_lower,

output reg cout_bout, // Carry-out or Borrow-out to adjacent rod

output reg invalid_input // Flag if an input rod exceeds 9 or lower > 4

);

// Wire conversions: Abacus rod to integer value (0-9)

wire [3:0] val_a = (op_a_upper ? 4'd5 : 4'd0) + op_a_lower;

wire [3:0] val_b = (op_b_upper ? 4'd5 : 4'd0) + op_b_lower;

// Temporary full-range arithmetic registers

reg signed [5:0] raw_result;

reg [3:0] rod_val;

always @(*) begin

// Validate Soroban structural constraints: lower deck <= 4

if ((op_a_lower > 3'd4) || (op_b_lower > 3'd4)) begin

invalid_input = 1'b1;

end else begin

invalid_input = 1'b0;

end

// ALU Operations executed under standard abacus rules

case (alu_op)

2'b00: begin // ADDITION with carry

raw_result = val_a + val_b + cin_bin;

if (raw_result >= 6'sd10) begin

rod_val = raw_result - 6'sd10;

cout_bout = 1'b1; // Push carry bead to left rod

end else begin

rod_val = raw_result[3:0];

cout_bout = 1'b0;

end

end

2'b01: begin // SUBTRACTION with borrow

raw_result = val_a - val_b - cin_bin;

if (raw_result < 6'sd0) begin

rod_val = raw_result + 6'sd10;

cout_bout = 1'b1; // Borrow bead from left rod

end else begin

rod_val = raw_result[3:0];

cout_bout = 1'b0;

end

end

2'b10: begin // 9's COMPLEMENT (Used in abacus division/subtraction)

rod_val = 4'd9 - val_a;

cout_bout = 1'b0;

end

2'b11: begin // CLEAR (Push all beads away from center beam)

rod_val = 4'd0;

cout_bout = 1'b0;

end

endcase

end

// Sequential output registered on clock edge:

// Encodes final digit into bi-quinary abacus bead positions

always @(posedge clk or negedge rst_n) begin

if (!rst_n) begin

res_upper <= 1'b0;

res_lower <= 3'b000;

end else begin

if (rod_val >= 4'd5) begin

res_upper <= 1'b1; // Lower 5-bead down to center beam

res_lower <= rod_val - 4'd5; // Remaining 1-beads up to center beam

end else begin

res_upper <= 1'b0; // Upper 5-bead pushed away

res_lower <= rod_val[2:0]; // 1-beads pushed toward center beam

end

end

end

endmodule

Verification Testbench (tb_abacus_alu.v)

This testbench demonstrates Soroban addition rules: adding 7 (Upper: 1, Lower: 2) and 6 (Upper: 1, Lower: 1) results in 3 on this rod (Upper: 0, Lower: 3) and a Carry-out = 1 to the next column.

`timescale 1ns / 1ps

module tb_abacus_alu;

reg clk;

reg rst_n;

reg [1:0] alu_op;

reg op_a_upper;

reg [2:0] op_a_lower;

reg cin_bin;

reg op_b_upper;

reg [2:0] op_b_lower;

wire res_upper;

wire [2:0] res_lower;

wire cout_bout;

wire invalid_input;

abacus_alu uut (

.clk(clk),

.rst_n(rst_n),

.alu_op(alu_op),

.op_a_upper(op_a_upper),

.op_a_lower(op_a_lower),

.cin_bin(cin_bin),

.op_b_upper(op_b_upper),

.op_b_lower(op_b_lower),

.res_upper(res_upper),

.res_lower(res_lower),

.cout_bout(cout_bout),

.invalid_input(invalid_input)

);

always #5 clk = ~clk; // 100 MHz clock

initial begin

clk = 0;

rst_n = 0;

alu_op = 2'b00;

op_a_upper = 0; op_a_lower = 0;

op_b_upper = 0; op_b_lower = 0;

cin_bin = 0;

#15 rst_n = 1;

// Test 1: Addition 7 + 6 (Should equal 13 -> Rod Value 3, Carry 1)

// 7 = upper(1) + lower(2)

// 6 = upper(1) + lower(1)

#10;

alu_op = 2'b00;

op_a_upper = 1'b1; op_a_lower = 3'd2;

op_b_upper = 1'b1; op_b_lower = 3'd1;

cin_bin = 1'b0;

// Test 2: Subtraction 4 - 8 (Should borrow 1, rod result 6)

// 4 = upper(0) + lower(4)

// 8 = upper(1) + lower(3)

#10;

alu_op = 2'b01;

op_a_upper = 1'b0; op_a_lower = 3'd4;

op_b_upper = 1'b1; op_b_lower = 3'd3;

cin_bin = 1'b0;

#20 $finish;

end

endmodule

Hardware Mapping Summary

Signal

Physical Abacus Equivalent

Valid Range

op_a_upper

Upper deck bead position on Rod A

0 (Away) or 1 (Active/Touching Beam = 5)

op_a_lower

Lower deck active beads on Rod A

3'd0 to 3'd4 (Count of beads touching beam)

cout_bout

Leftward rod carry/borrow transmission

1 if sum \ge 10 or difference < 0

res_upper / res_lower

Settled position of result beads

Canonical bi-quinary representation (0 \dots 9)

To build a practical abacus ALU on a digital chip, individual rods must be chained together so that a carry or borrow from one column propagates to the next.

This implementation creates a 4-digit (4-rod) Ripple-Carry Abacus ALU. It first defines a single combinational abacus rod, then wires four of them together into a complete clocked processor block.

1. Single Abacus Rod (Combinational)

This module calculates the sum or difference for a single bi-quinary decimal digit, translating the 5-weight "heaven" bead and 1-weight "earth" beads into standard logic.

`timescale 1ns / 1ps

module abacus_rod (

input wire sub_mode, // 0 = ADD, 1 = SUBTRACT

input wire a_up, // Upper bead A (Weight 5)

input wire [2:0] a_low, // Lower beads A (Weight 1)

input wire b_up, // Upper bead B (Weight 5)

input wire [2:0] b_low, // Lower beads B (Weight 1)

input wire c_in, // Carry/Borrow In

output reg r_up, // Upper bead Result

output reg [2:0] r_low, // Lower beads Result

output reg c_out // Carry/Borrow Out to next rod

);

wire [3:0] val_a = (a_up ? 4'd5 : 4'd0) + a_low;

wire [3:0] val_b = (b_up ? 4'd5 : 4'd0) + b_low;

reg signed [5:0] raw_calc;

reg [3:0] rod_val;

always @(*) begin

if (!sub_mode) begin

// Addition logic

raw_calc = val_a + val_b + c_in;

if (raw_calc >= 6'sd10) begin

rod_val = raw_calc - 6'sd10;

c_out = 1'b1;

end else begin

rod_val = raw_calc[3:0];

c_out = 1'b0;

end

end else begin

// Subtraction logic

raw_calc = val_a - val_b - c_in;

if (raw_calc < 6'sd0) begin

rod_val = raw_calc + 6'sd10;

c_out = 1'b1;

end else begin

rod_val = raw_calc[3:0];

c_out = 1'b0;

end

end

// Translate integer result back to bi-quinary bead positions

if (rod_val >= 4'd5) begin

r_up = 1'b1;

r_low = rod_val - 4'd5;

end else begin

r_up = 1'b0;

r_low = rod_val[2:0];

end

end

endmodule

2. Multi-Digit Abacus ALU (Sequential)

This top-level module instantiates four rods, creating a 4-digit decimal calculator (capable of representing 0000 to 9999) with registered outputs for synchronous chip operation.

module abacus_4digit_alu (

input wire clk,

input wire rst_n,

input wire alu_sub, // 0 = A+B, 1 = A-B

// 4-Digit Operand A [Upper(1 bit) : Lower(3 bits) per digit]

input wire [15:0] op_a,

// 4-Digit Operand B

input wire [15:0] op_b,

// 4-Digit Result

output reg [15:0] result,

output reg overflow

);

wire [15:0] res_wire;

wire c_out_0, c_out_1, c_out_2, c_out_3;

// Rod 0 (Units / 10^0)

abacus_rod rod0 (

.sub_mode(alu_sub),

.a_up(op_a[3]), .a_low(op_a[2:0]),

.b_up(op_b[3]), .b_low(op_b[2:0]),

.c_in(1'b0),

.r_up(res_wire[3]), .r_low(res_wire[2:0]),

.c_out(c_out_0)

);

// Rod 1 (Tens / 10^1)

abacus_rod rod1 (

.sub_mode(alu_sub),

.a_up(op_a[7]), .a_low(op_a[6:4]),

.b_up(op_b[7]), .b_low(op_b[6:4]),

.c_in(c_out_0),

.r_up(res_wire[7]), .r_low(res_wire[6:4]),

.c_out(c_out_1)

);

// Rod 2 (Hundreds / 10^2)

abacus_rod rod2 (

.sub_mode(alu_sub),

.a_up(op_a[11]), .a_low(op_a[10:8]),

.b_up(op_b[11]), .b_low(op_b[10:8]),

.c_in(c_out_1),

.r_up(res_wire[11]), .r_low(res_wire[10:8]),

.c_out(c_out_2)

);

// Rod 3 (Thousands / 10^3)

abacus_rod rod3 (

.sub_mode(alu_sub),

.a_up(op_a[15]), .a_low(op_a[14:12]),

.b_up(op_b[15]), .b_low(op_b[14:12]),

.c_in(c_out_2),

.r_up(res_wire[15]), .r_low(res_wire[14:12]),

.c_out(c_out_3)

);

// Synchronous Output Register

always @(posedge clk or negedge rst_n) begin

if (!rst_n) begin

result <= 16'd0;

overflow <= 1'b0;

end else begin

result <= res_wire;

overflow <= c_out_3;

end

end

endmodule