Serial Adder Moore Model Verilog

Verilog

The serial adder is a digital circuit in which bits are added a pair at a time.

Moore
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  3. Fig: State table for the Mealy type serial adder FSM Fig: State-assigned table for the Mealy type serial adder FSM Fig: Circuit for Mealy type serial adder FSM. The flip-flop can be cleared by the Reset signal at the start of the addition operation. Moore type FSM for serial adder: In a Moore type FSM, output depends only on the present state.

Let A and B be two unsigned numbers to be added to produce Sum = A + B. In this we are using three shift registers which are used to hold A, B and Sum. Now in each clock cycle, a pair of bits is added by the adder FSM and at the end of the cycle, the resulting sum is shifted into the Sum register.

Four Bit Adder Verilog

Mealy type FSM for serial adder:

Verilog code for serial Adder. Block Diagram: `resetall. `timescale 1ns/1ns. //shift register to store the two inputs a and b to be added. Module shift (y,d,clk); input 3:0 d; input clk; output 3:0 y. 4 Bit Serial Adder Verilog Code For Full DOWNLOAD a1e5b628f3 4 Bit Ripple Carry Adder in Verilog. A,B); endmodule Structural Model: Full Adder module fulladder. I need 16-bit ripple carry adder testbench verilog code.4-bit Full Adder using Two 2-bit Full Adders. Unorthodox but I'm curious to know as I am new to Verilog.

Let G and H denote the states where the carry-in-values are 0 and 1. Output value s depends on both the state and the present value of inputs a and b.

In state G and H:

Input valuationOutput (s)State
000FSM will remain in same state G
01,101FSM will remain in same state G
110FSM moves to state H
01,100FSM will remain in same state H
111FSM will remain in same state H
001FSM moves to state G
Adder

A single Flip-Flop is needed to represent the two states. The next state and output equations are:

Serial Adder Moore Model Verilog

Y = ab + ay + by

s = a ⊕ b ⊕ y

The flip-flop can be cleared by the Reset signal at the start of the addition operation.

Moore type FSM for serial adder:

In a Moore type FSM, output depends only on the present state. Since in both states, G and H, it is possible to produce two different outputs depending on the valuations of the inputs a and b, a Moore type FSM will need more than two states. Therefore we will four states namely: G0, G1, H0 and H1.

The next state and output equations are:

Y1 = a ⊕ b ⊕ y2

Serial Adder Moore Model Verilog

N Bit Adder Verilog

Y2 = ab + by2 + by2

s = y1

The only difference between circuits of Mealy and Moore type FSM for serial adder is that in Moore type FSM circuit, output signal s is passed through an extra flip-flop and thus delayed by one clock cycle with respect to the Mealy type FSM circuit.

References: Fundamentals of Digital Logic with VHDL Design