diff --git a/lib/decimal.ex b/lib/decimal.ex
index d508db0..afb0e5f 100644
--- a/lib/decimal.ex
+++ b/lib/decimal.ex
@@ -1321,6 +1321,12 @@ defmodule Decimal do
       iex> Decimal.new("3.14")
       Decimal.new("3.14")
 
+      iex> Decimal.new("1.79769313486231581e308")
+      Decimal.new("1.79769313486231581e308")
+
+      iex> Decimal.new("2.22507385850720139e-308")
+      Decimal.new("2.22507385850720139e-308")
+
   """
   @spec new(decimal) :: t
   def new(%Decimal{sign: sign, coef: coef, exp: exp} = num)
@@ -1624,10 +1630,25 @@ defmodule Decimal do
 
       iex> Decimal.to_float(Decimal.new("1.5"))
       1.5
+      iex> Decimal.to_float(Decimal.new("-1.79769313486231581e308"))
+      ** (Decimal.Error) : negative number smaller than DBL_MAX: Decimal.new("-1.79769313486231581E+308")
+
+
+      iex> Decimal.to_float(Decimal.new("-1.79769313486231581e308"))
+      ** (Decimal.Error) : negative number smaller than DBL_MAX: Decimal.new("-1.79769313486231581E+308")
+
+
+      iex> Decimal.to_float(Decimal.new("2.22507385850720139e-308"))
+      ** (Decimal.Error) : number smaller than DBL_MIN: Decimal.new("2.22507385850720139E-308")
+
+
+      iex> Decimal.to_float(Decimal.new("-2.22507385850720139e-308"))
+      ** (Decimal.Error): negative number bigger than DBL_MIN: Decimal.new(\"-2.22507385850720139E-308\")
 
   """
   @spec to_float(t) :: float
-  def to_float(%Decimal{sign: sign, coef: coef, exp: exp}) when is_integer(coef) do
+  def to_float(%Decimal{coef: coef} = decimal) when is_integer(coef) do
+    %Decimal{sign: sign, coef: coef, exp: exp} = check_dbl_min_max(decimal)
     # Convert back to float without loss
     # http://www.exploringbinary.com/correct-decimal-to-floating-point-using-big-integers/
     {num, den} = ratio(coef, exp)
@@ -2078,6 +2099,38 @@ defmodule Decimal do
 
   defp fix_float_exp([], result), do: :lists.reverse(result)
 
+  defp check_dbl_min_max(%Decimal{coef: :inf} = infinity), do: infinity
+
+  defp check_dbl_min_max(%Decimal{sign: 1} = num) do
+    cond do
+      Decimal.gt?(num, dbl_max(1)) ->
+        raise Error, reason: "number bigger than DBL_MAX: #{inspect(num)}"
+
+      Decimal.gt?(num, zero(1)) and Decimal.lt?(num, dbl_min(1)) ->
+        raise Error, reason: "number smaller than DBL_MIN: #{inspect(num)}"
+
+      true ->
+        num
+    end
+  end
+
+  defp check_dbl_min_max(num) do
+    cond do
+      Decimal.lt?(num, dbl_max(-1)) ->
+        raise Error, reason: "negative number smaller than DBL_MAX: #{inspect(num)}"
+
+      Decimal.lt?(num, zero(-1)) and Decimal.gt?(num, dbl_min(-1)) ->
+        raise Error, reason: "negative number bigger than DBL_MIN: #{inspect(num)}"
+
+      true ->
+        num
+    end
+  end
+
+  defp dbl_min(sign), do: %Decimal{sign: sign, coef: 22_250_738_585_072_014, exp: -324}
+  defp zero(sign), do: %Decimal{sign: sign, coef: 0, exp: 0}
+  defp dbl_max(sign), do: %Decimal{sign: sign, coef: 17_976_931_348_623_158, exp: 292}
+
   if Version.compare(System.version(), "1.3.0") == :lt do
     defp integer_to_charlist(string), do: Integer.to_char_list(string)
   else
diff --git a/test/decimal_test.exs b/test/decimal_test.exs
index 5acc93e..8a2ecb6 100644
--- a/test/decimal_test.exs
+++ b/test/decimal_test.exs
@@ -937,6 +937,52 @@ defmodule DecimalTest do
     end
   end
 
+  test "test max_min_dbl in to_float" do
+    assert Decimal.to_float(dbl_max(1)) == 1.7976931348623158e308
+    assert Decimal.to_float(dbl_max(-1)) == -1.7976931348623158e308
+
+    assert_raise Decimal.Error,
+                 ": number bigger than DBL_MAX: Decimal.new(\"1.79769313486231581E+308\")",
+                 fn -> Decimal.to_float(Decimal.new("1.79769313486231581e308")) end
+
+    assert_raise Decimal.Error,
+                 ": negative number smaller than DBL_MAX: Decimal.new(\"-1.79769313486231581E+308\")",
+                 fn -> Decimal.to_float(Decimal.new("-1.79769313486231581e308")) end
+
+    assert Decimal.to_float(dbl_max(1)) == 1.79769313486231579e308
+
+    assert Decimal.to_float(dbl_max(-1)) ==
+             -1.79769313486231579e+308
+
+    assert Decimal.to_float(dbl_min(1)) == 2.2250738585072014e-308
+    assert Decimal.to_float(dbl_min(-1)) == -2.2250738585072014e-308
+
+    assert_raise Decimal.Error,
+                 ": number smaller than DBL_MIN: Decimal.new(\"2.22507385850720139E-308\")",
+                 fn -> Decimal.to_float(Decimal.new("2.22507385850720139e-308")) end
+
+    assert_raise Decimal.Error,
+                 ": negative number bigger than DBL_MIN: Decimal.new(\"-2.22507385850720139E-308\")",
+                 fn -> Decimal.to_float(Decimal.new("-2.22507385850720139e-308")) end
+
+    assert Decimal.to_float(Decimal.new("2.22507385850720141e-308")) == 2.22507385850720141e-308
+
+    assert Decimal.to_float(Decimal.new("-2.22507385850720141e-308")) ==
+             -2.22507385850720141e-308
+
+    assert_raise Decimal.Error,
+                 ": number bigger than DBL_MAX: Decimal.new(\"9.999999999999999999E+1000000000000000000000017\")",
+                 fn ->
+                   Decimal.to_float(Decimal.new("9999999999999999999e999999999999999999999999"))
+                 end
+
+    assert_raise Decimal.Error,
+                 ": number smaller than DBL_MIN: Decimal.new(\"9.9999999999999E-999999999999999999999986\")",
+                 fn ->
+                   Decimal.to_float(Decimal.new("99999999999999e-999999999999999999999999"))
+                 end
+  end
+
   if Version.match?(System.version(), ">= 1.18.0-rc") do
     test "JSON.Encoder implementation" do
       assert JSON.encode!(%{x: Decimal.new("1.0")}) == "{\"x\":\"1.0\"}"
diff --git a/test/test_helper.exs b/test/test_helper.exs
index b215dcb..0cad62b 100644
--- a/test/test_helper.exs
+++ b/test/test_helper.exs
@@ -12,4 +12,22 @@ defmodule TestMacros do
       Decimal.new(unquote(str))
     end
   end
+
+  defmacro dbl_min(sign) do
+    quote do
+      %Decimal{sign: unquote(sign), coef: 22_250_738_585_072_014, exp: -324}
+    end
+  end
+
+  defmacro zero(sign) do
+    quote do
+      %Decimal{sign: unquote(sign), coef: 0, exp: 0}
+    end
+  end
+
+  defmacro dbl_max(sign) do
+    quote do
+      %Decimal{sign: unquote(sign), coef: 17_976_931_348_623_158, exp: 292}
+    end
+  end
 end