diff --git a/src/math/all_test.go b/src/math/all_test.go
index a145c5e60b..1ac8ce886c 100644
--- a/src/math/all_test.go
+++ b/src/math/all_test.go
@@ -1967,6 +1967,8 @@ var vfldexpBC = []fi{
 	{-1, -1075},
 	{1, 1024},
 	{-1, 1024},
+	{1.0000000000000002, -1075},
+	{1, -1075},
 }
 var ldexpBC = []float64{
 	SmallestNonzeroFloat64,
@@ -1977,6 +1979,8 @@ var ldexpBC = []float64{
 	Copysign(0, -1),
 	Inf(1),
 	Inf(-1),
+	SmallestNonzeroFloat64,
+	0,
 }
 
 var logbBC = []float64{
diff --git a/src/math/ldexp.go b/src/math/ldexp.go
index b5d2a5e7e8..aa50a49ade 100644
--- a/src/math/ldexp.go
+++ b/src/math/ldexp.go
@@ -25,7 +25,7 @@ func ldexp(frac float64, exp int) float64 {
 	exp += e
 	x := Float64bits(frac)
 	exp += int(x>>shift)&mask - bias
-	if exp < -1074 {
+	if exp < -1075 {
 		return Copysign(0, frac) // underflow
 	}
 	if exp > 1023 { // overflow
@@ -36,8 +36,8 @@ func ldexp(frac float64, exp int) float64 {
 	}
 	var m float64 = 1
 	if exp < -1022 { // denormal
-		exp += 52
-		m = 1.0 / (1 << 52) // 2**-52
+		exp += 53
+		m = 1.0 / (1 << 53) // 2**-53
 	}
 	x &^= mask << shift
 	x |= uint64(exp+bias) << shift