Added trace operation + test and renamed base2k to backend

backend/.vscode/settings.json

@@ -0,0 +1,11 @@
+{
+    "github.copilot.enable": {
+        "*": false,
+        "plaintext": false,
+        "markdown": false,
+        "scminput": false
+    },
+    "files.associations": {
+        "random": "c"
+    }
+}