Verilog Code for (7,4) Systematic Hamming Encoder

Hamming code is useful in Error Correction in Linear Block Code. This code will encode four bits of data and generate seven bits of code by adding three bits as parity bits. It was introduced by Richard W. Hamming. This algorithm can detect one and two bit error and can correct one bit error. Given below code will generate (7,4) Systematic Hamming Encoder. This encoder will use Least Significant 4 bits as data inputs and Most 3 significant bits as a parity bits.

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Design a Constant Divider using VHDL Coding.

Constant Divider circuit accepts an input of 8 bit wide and divides it by constant value 53. The divider circuit will generate two output values as remainder and quotient. As we know that the division operator is not synthesizable, so division is done by repetitive subtraction method. As an example of input is 108, the remainder is 2 and quotient is 2 while if input is 20, remainder is 20 and quotient is 0. In this design Inp is input with 8 bit long, Remi and Quo are two output signals with 6-bit and 3-bit long respectively. Here bit lengths of Remi and Quo are decided as per getting maximum value. Divider is constant which is 8 bit long and value is "00110101". Binary value of 53 is "00110101".

Design 4-bit Linear Feedback Shift Register (LFSR) using VHDL Coding and Verify with Test Bench

Linear Feedback Shift Register is a sequential shift register with combinational feedback logic around it that causes it to pseudo randomly cycle through a sequence of binary values. Feedback around LFSR's shift register comes from a selection of points in the register chain and constitute either XORing or XNORing these points to provide point back into the register. The LFSR basically loops through repetitive sequences of pseudo random values. The maximum length of sequence is (2^n) - 1. It is used for State Encoding. It is also used to generate random numbers. Find out Verilog code here.

Excitation and Characteristic Table of SR Flip Flop

The basic SR Flip-Flop is shown below. The inputs, labeled S and R are used to SET and RESET the device, respectively. The outputs Q and Q’ are complementary. Because the Flip-Flop is unclocked, any change to the inputs will produce a change at the outputs. An invalid state occurs when both inputs are low; thus, the inputs should be kept high except when the Flip-Flop is to be set or cleared. Note that there are other implementations for a latch. Here we are showing a NAND implementation.

Design 8 bit Ripple Carry Adder using VHDL Coding and Verify using Test Bench

Given below code will generate 8 bit output as sum and 1 bit carry as cout.  it also takes two 8 bit inputs as a and b, and one input carry as cin. This code is implemented in VHDL by structural style. Predefined full adder code is mapped into this ripple carry adder. Full Adder code can be found here. Carry is generated by adding each bit of two inputs and propagated to next bit of inputs. If carry is generated by adding seventh bits and previous carry, then cout bit goes high.