diff --git a/tests/unit/bitops.tcl b/tests/unit/bitops.tcl
index dade8923..a145199a 100644
--- a/tests/unit/bitops.tcl
+++ b/tests/unit/bitops.tcl
@@ -52,7 +52,7 @@ start_server {tags {"bitops"}} {
         }
     }
 
-    test {BITCOUNT fuzzing} {
+    test {BITCOUNT fuzzing without start/end} {
         for {set j 0} {$j < 100} {incr j} {
             set str [randstring 0 3000]
             r set str $str
@@ -60,6 +60,20 @@ start_server {tags {"bitops"}} {
         }
     }
 
+    test {BITCOUNT fuzzing with start/end} {
+        for {set j 0} {$j < 100} {incr j} {
+            set str [randstring 0 3000]
+            r set str $str
+            set l [string length $str]
+            set start [randomInt $l]
+            set end [randomInt $l]
+            if {$start > $end} {
+                lassign [list $end $start] start end
+            }
+            assert {[r bitcount str $start $end] == [count_bits [string range $str $start $end]]}
+        }
+    }
+
     test {BITCOUNT with start, end} {
         r set s "foobar"
         assert_equal [r bitcount s 0 -1] [count_bits "foobar"]