Index: lib/CodeGen/MIRParser/MIParser.cpp
===================================================================
--- lib/CodeGen/MIRParser/MIParser.cpp
+++ lib/CodeGen/MIRParser/MIParser.cpp
@@ -2083,8 +2083,11 @@
     return true;
   StringRef V = S.substr(2);
   APInt A(V.size()*4, V, 16);
-  Result = APInt(A.getActiveBits(),
-                 ArrayRef<uint64_t>(A.getRawData(), A.getNumWords()));
+
+  // If A is 0, then A.getActiveBits() is 0. This isn't a valid bitwidth. Make
+  // sure it isn't the case before constructing result.
+  unsigned NumBits = (A == 0) ? 32 : A.getActiveBits();
+  Result = APInt(NumBits, ArrayRef<uint64_t>(A.getRawData(), A.getNumWords()));
   return false;
 }
 
Index: test/CodeGen/Generic/zero-probability.mir
===================================================================
--- /dev/null
+++ test/CodeGen/Generic/zero-probability.mir
@@ -0,0 +1,39 @@
+# RUN: llc -o /dev/null %s 
+# REQUIRES: asserts
+# Makes sure that having a probability of 0x00000000 to branch to a successor
+# doesn't hit an APInt assert in the MIParser.
+
+--- |
+  define i32 @main() local_unnamed_addr #0 {
+  entry:
+    ret i32 0
+  
+  other:
+    ret i32 0
+  }
+  
+  attributes #0 = { nounwind }
+  
+  !llvm.module.flags = !{!0, !1}
+  !llvm.ident = !{!2}
+  
+  !0 = !{i32 1, !"wchar_size", i32 4}
+  !1 = !{i32 7, !"PIC Level", i32 2}
+  !2 = !{!"clang version 6.0.0"}
+  !3 = !{!"branch_weights", i32 0, i32 -1}
+
+...
+---
+name:            main
+alignment:       2
+exposesReturnsTwice: false
+legalized:       false
+regBankSelected: false
+selected:        false
+tracksRegLiveness: true   
+body:             |
+  bb.0.entry:
+    successors: %bb.1.other(0x00000000)
+  bb.1.other:
+
+...