diff --git a/zk/Signed_magnitude_representation.md b/zk/Signed_magnitude_representation.md
new file mode 100644
index 0000000..597410f
--- /dev/null
+++ b/zk/Signed_magnitude_representation.md
@@ -0,0 +1,16 @@
+---
+id: 3wsh
+title: Signed_magnitude_representation
+tags: []
+created: Wednesday, March 20, 2024
+---
+
+# Signed magnitude representation
+
+## Summary
+
+## Detail
+
+## Applications
+
+## Related notes
diff --git a/zk/Twos_complement.md b/zk/Twos_complement.md
index 8c40e2f..a4eb0e4 100644
--- a/zk/Twos_complement.md
+++ b/zk/Twos_complement.md
@@ -66,7 +66,13 @@ $$
   1011 + 0101 = 0000
 $$
 
-## Applications
+### Advantages
+
+- The circuit implementation of arithmetic involving positive and negative
+  integers is the same as the implementation of positive integers. There is no
+  need for additional harware or special handling of the values.
+- This can be contrasted with the alternative approaches to signing numbers such
+  as
 
 ## Related notes