diff --git a/backup_and_restore/archive_with_checksum.sh b/backup_and_restore/archive_with_checksum.sh
new file mode 100644
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+++ b/backup_and_restore/archive_with_checksum.sh
@@ -0,0 +1,54 @@
+#!/bin/bash
+
+# This script creates a .tar.xz archive of a specified source directory, preserving file permissions,
+# and names the archive using the source directory's name followed by the current date in DDMMYYYY format.
+# Additionally, it generates a SHA-256 checksum file for the archive in the specified output directory.
+
+# Usage:
+# 1. Make the script executable: `chmod +x archive_with_checksum`
+# 2. Run the script by providing the path to the source directory as the first argument
+#    and the path to the output directory as the second argument.
+#    Example: `./archive_with_checksum /path/to/source_directory /path/to/output_directory`
+#
+# The script will produce an archive named `source_directory_DDMMYYYY.tar.xz` and a checksum file
+# named `source_directory_DDMMYYYY.tar.xz.sha256` in the specified output directory.
+
+# Check if the correct number of arguments is provided
+if [ "$#" -ne 2 ]; then
+    echo "Usage: $0 source_directory output_directory"
+    exit 1
+fi
+
+# Assign parameters
+source_directory=$1
+output_directory=$2
+
+# Get the base name of the source directory (without the full path)
+source_name=$(basename "$source_directory")
+
+# Get the current date in DDMMYYYY format
+current_date=$(date +%d%m%Y)
+
+# Create the archive name with the date, based on the source directory's name
+archive_name="${source_name}_${current_date}.tar.xz"
+archive_path="${output_directory}/${archive_name}"
+
+# Create the archive with file permissions preserved
+tar -cJpf "$archive_path" "$source_directory"
+
+# Confirm archive creation and create a checksum if successful
+if [ $? -eq 0 ]; then
+    echo "Archive created: $archive_path"
+    
+    # Generate SHA-256 checksum file for the archive in the output directory
+    checksum_file="${archive_path}.sha256"
+    sha256sum "$archive_path" > "$checksum_file"
+    
+    if [ $? -eq 0 ]; then
+        echo "Checksum file created: $checksum_file"
+    else
+        echo "Error creating the checksum file."
+    fi
+else
+    echo "Error creating the archive."
+fi