diff --git a/apparmor.d/tunables/multiarch.d/system b/apparmor.d/tunables/multiarch.d/system
index 9684cba18..c6b22f9e0 100644
--- a/apparmor.d/tunables/multiarch.d/system
+++ b/apparmor.d/tunables/multiarch.d/system
@@ -14,6 +14,13 @@
 # Integer up to 10 digits (0-9999999999)
 @{int}=[0-9]{[0-9],}{[0-9],}{[0-9],}{[0-9],}{[0-9],}{[0-9],}{[0-9],}{[0-9],}{[0-9],}
 
+# Unsigned integer over 8 bits (0-255)
+#      0 - 99       100 - 199   200 - 249   250 - 255
+@{u8}=[0-9]{[0-9],} 1[0-9][0-9] 2[0-4][0-9] 25[0-5]
+
+# Unsigned integer over 16 bits (0-65535, 5 digits)
+@{u16}=[0-9]{[0-9],}{[0-9],}{[0-9],}{[0-9],}
+
 # hexadecimal, alphanumeric up to 64 characters
 @{hex}=@{h}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}{@{h},}
 @{rand}=@{c}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}{@{c},}