Hamming Image Simulator

1. Upload Image

Select an image (PNG or JPEG)

No image loaded yet. Please upload an image to begin.

2. Select Region

After uploading, the image will appear below. Click and drag on the image to select a rectangular region where noise will be added and corrected using Hamming (7,4).

No region selected. Click and drag on the image to select a rectangle.

3. Hamming (7,4) Process Details

This section shows the actual Hamming (7,4) code used on every 4-bit block in the selected region, along with live statistics and an inspector to view any individual codeword.

Run the simulation to see live data from your selected region.

Region Summary (Live)

Total pixels in selected region:
Total 4-bit data blocks:
Total (7,4) codewords:
Total single-bit errors introduced:
Total errors corrected:

Hamming (7,4) Code Definition

The same generator matrix G and parity-check matrix H are used for every 4-bit data block in the selected region.

Generator matrix G = [I | P] (4×7)

Parity-check matrix H = [Pᵀ | I] (3×7)

Inspect a Codeword from the Region

Select any codeword index to see the exact bits before noise, after noise, and after Hamming decoding for that block.

Codeword index (1-based, within selected region)

Pixel (x, y):

Nibble in pixel:

Original 8-bit gray value:

Binary (b7…b0):

Data bits D (4 bits):

Codeword C (7 bits):

Bit flipped (1-based index):

Received r after noise:

Syndrome S = r·Hᵀ (mod 2):

Error position:

Corrected codeword:

Decoded data bits (4 bits):

4. Image Visualization

Compare the original image, the image after noise is added in the selected region, and the image after Hamming (7,4) correction.

Hamming (7,4) Image Simulator