diff --git a/llvm/lib/Support/KnownBits.cpp b/llvm/lib/Support/KnownBits.cpp
--- a/llvm/lib/Support/KnownBits.cpp
+++ b/llvm/lib/Support/KnownBits.cpp
@@ -399,7 +399,14 @@
 
   // Absolute value preserves trailing zero count.
   KnownBits KnownAbs(getBitWidth());
-  KnownAbs.Zero.setLowBits(countMinTrailingZeros());
+
+  unsigned Max = countMaxTrailingZeros();
+  unsigned Min = countMinTrailingZeros();
+
+  KnownAbs.Zero.setLowBits(Min);
+  // If we know the lowest set 1, then preserve it.
+  if (Max == Min && Max < getBitWidth())
+    KnownAbs.One.setBit(Max);
 
   // We only know that the absolute values's MSB will be zero if INT_MIN is
   // poison, or there is a set bit that isn't the sign bit (otherwise it could
@@ -407,8 +414,19 @@
   if (IntMinIsPoison || (!One.isZero() && !One.isMinSignedValue()))
     KnownAbs.Zero.setSignBit();
 
-  // FIXME: Handle known negative input?
-  // FIXME: Calculate the negated Known bits and combine them?
+  // If the input is negative, then abs(x) == -x.
+  if (isNegative()) {
+    KnownBits Zero(getBitWidth());
+    Zero.setAllZero();
+
+    KnownBits KnownNeg = computeForAddSub(
+        /*Add*/ false, /*NSW*/ false, Zero, *this);
+
+    // NB: KnownAbs is not always a subset of KnownNeg so we want to get input
+    // from both.
+    KnownAbs.One |= KnownNeg.One;
+    KnownAbs.Zero |= KnownNeg.Zero;
+  }
   return KnownAbs;
 }
 
diff --git a/llvm/test/Analysis/ValueTracking/knownbits-abs.ll b/llvm/test/Analysis/ValueTracking/knownbits-abs.ll
--- a/llvm/test/Analysis/ValueTracking/knownbits-abs.ll
+++ b/llvm/test/Analysis/ValueTracking/knownbits-abs.ll
@@ -4,12 +4,7 @@
 
 define i1 @abs_low_bit_set(i8 %x) {
 ; CHECK-LABEL: @abs_low_bit_set(
-; CHECK-NEXT:    [[XX:%.*]] = and i8 [[X:%.*]], -16
-; CHECK-NEXT:    [[V:%.*]] = or i8 [[XX]], 4
-; CHECK-NEXT:    [[ABS:%.*]] = call i8 @llvm.abs.i8(i8 [[V]], i1 true)
-; CHECK-NEXT:    [[AND:%.*]] = and i8 [[ABS]], 4
-; CHECK-NEXT:    [[R:%.*]] = icmp eq i8 [[AND]], 0
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    ret i1 false
 ;
   %xx = and i8 %x, 240
   %v = or i8 %xx, 4
@@ -36,12 +31,7 @@
 
 define i1 @abs_negative(i8 %x) {
 ; CHECK-LABEL: @abs_negative(
-; CHECK-NEXT:    [[XX:%.*]] = and i8 [[X:%.*]], -16
-; CHECK-NEXT:    [[V:%.*]] = or i8 [[XX]], -124
-; CHECK-NEXT:    [[ABS:%.*]] = call i8 @llvm.abs.i8(i8 [[V]], i1 true)
-; CHECK-NEXT:    [[AND:%.*]] = and i8 [[ABS]], 8
-; CHECK-NEXT:    [[R:%.*]] = icmp eq i8 [[AND]], 0
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    ret i1 false
 ;
   %xx = and i8 %x, 240
   %v = or i8 %xx, 132
@@ -53,11 +43,7 @@
 
 define i1 @abs_negative2(i8 %x) {
 ; CHECK-LABEL: @abs_negative2(
-; CHECK-NEXT:    [[V:%.*]] = or i8 [[X:%.*]], -125
-; CHECK-NEXT:    [[ABS:%.*]] = call i8 @llvm.abs.i8(i8 [[V]], i1 true)
-; CHECK-NEXT:    [[AND:%.*]] = and i8 [[ABS]], 2
-; CHECK-NEXT:    [[R:%.*]] = icmp eq i8 [[AND]], 2
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    ret i1 false
 ;
   %v = or i8 %x, 131
   %abs = call i8 @llvm.abs.i8(i8 %v, i1 true)