diff --git a/newlib/libm/math/e_exp.c b/newlib/libm/math/e_exp.c
index 81ea64dfb..d23b1162b 100644
--- a/newlib/libm/math/e_exp.c
+++ b/newlib/libm/math/e_exp.c
@@ -142,7 +142,7 @@ P5   =  4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
 	    }
 	    x  = hi - lo;
 	} 
-	else if(hx < 0x3e300000)  {	/* when |x|<2**-28 */
+	else if(hx < 0x3df00000)  {	/* when |x|<2**-32 */
 	    if(huge+x>one) return one+x;/* trigger inexact */
 	}
 
diff --git a/newlib/libm/math/ef_exp.c b/newlib/libm/math/ef_exp.c
index e817370ac..fb3e2ffe6 100644
--- a/newlib/libm/math/ef_exp.c
+++ b/newlib/libm/math/ef_exp.c
@@ -77,7 +77,7 @@ P5   =  4.1381369442e-08; /* 0x3331bb4c */
 	    }
 	    x  = hi - lo;
 	} 
-	else if(hx < 0x31800000)  {	/* when |x|<2**-28 */
+	else if(hx < 0x34000000)  {	/* when |x|<2**-23 */
 	    if(huge+x>one) return one+x;/* trigger inexact */
 	}