diff --git a/sycl/include/syclcompat/math.hpp b/sycl/include/syclcompat/math.hpp
index b0b8a93d6697c..b7842a8fd99e4 100644
--- a/sycl/include/syclcompat/math.hpp
+++ b/sycl/include/syclcompat/math.hpp
@@ -118,6 +118,37 @@ class vectorized_binary {
   }
 };
 
+// Vectorized_binary for logical operations
+template <typename VecT, class BinaryOperation>
+class vectorized_binary<
+    VecT, BinaryOperation,
+    std::enable_if_t<std::is_same_v<
+        bool, decltype(std::declval<BinaryOperation>()(
+                  std::declval<typename VecT::element_type>(),
+                  std::declval<typename VecT::element_type>()))>>> {
+public:
+  inline VecT operator()(VecT a, VecT b, const BinaryOperation binary_op) {
+    unsigned result = 0;
+    constexpr size_t elem_size = 8 * sizeof(typename VecT::element_type);
+    static_assert(elem_size < 32,
+                  "Vector element size must be less than 4 bytes");
+    constexpr unsigned bool_mask = (1U << elem_size) - 1;
+
+    for (size_t i = 0; i < a.size(); ++i) {
+      bool comp_result = binary_op(a[i], b[i]);
+      result |= (comp_result ? bool_mask : 0U) << (i * elem_size);
+    }
+
+    VecT v4;
+    for (size_t i = 0; i < v4.size(); ++i) {
+      v4[i] = static_cast<typename VecT::element_type>(
+          (result >> (i * elem_size)) & bool_mask);
+    }
+
+    return v4;
+  }
+};
+
 /// Extend the 'val' to 'bit' size, zero extend for unsigned int and signed
 /// extend for signed int. Returns a signed integer type.
 template <typename ValueT>
@@ -1040,7 +1071,7 @@ struct average {
 
 } // namespace detail
 
-/// Compute vectorized binary operation value for two values, with each value
+/// Compute vectorized binary operation value for two/four values, with each
 /// treated as a vector type \p VecT.
 /// \tparam [in] VecT The type of the vector
 /// \tparam [in] BinaryOperation The binary operation class
@@ -1052,14 +1083,19 @@ struct average {
 template <typename VecT, class BinaryOperation>
 inline unsigned vectorized_binary(unsigned a, unsigned b,
                                   const BinaryOperation binary_op,
-                                  bool need_relu = false) {
+                                  [[maybe_unused]] bool need_relu = false) {
   sycl::vec<unsigned, 1> v0{a}, v1{b};
   auto v2 = v0.as<VecT>();
   auto v3 = v1.as<VecT>();
   auto v4 =
       detail::vectorized_binary<VecT, BinaryOperation>()(v2, v3, binary_op);
-  if (need_relu)
-    v4 = relu(v4);
+  if constexpr (!std::is_same_v<
+                    bool, decltype(std::declval<BinaryOperation>()(
+                              std::declval<typename VecT::element_type>(),
+                              std::declval<typename VecT::element_type>()))>) {
+    if (need_relu)
+      v4 = relu(v4);
+  }
   v0 = v4.template as<sycl::vec<unsigned, 1>>();
   return v0;
 }
diff --git a/sycl/test-e2e/syclcompat/math/math_vectorized.cpp b/sycl/test-e2e/syclcompat/math/math_vectorized.cpp
index 9c57c88ce445b..630d4b9c9f154 100644
--- a/sycl/test-e2e/syclcompat/math/math_vectorized.cpp
+++ b/sycl/test-e2e/syclcompat/math/math_vectorized.cpp
@@ -48,6 +48,18 @@ void test_vectorized_binary(unsigned op1, unsigned op2, unsigned expected,
           op1, op2, expected, need_relu);
 }
 
+template <typename BinaryOp, typename ValueT>
+void test_vectorized_binary_logical(unsigned op1, unsigned op2,
+                                    unsigned expected) {
+  std::cout << __PRETTY_FUNCTION__ << std::endl;
+  constexpr syclcompat::dim3 grid{1};
+  constexpr syclcompat::dim3 threads{1};
+
+  BinaryOpTestLauncher<unsigned, unsigned, unsigned>(grid, threads)
+      .template launch_test<vectorized_binary_kernel<BinaryOp, ValueT>>(
+          op1, op2, expected, false);
+}
+
 template <typename UnaryOp, typename ValueT>
 void vectorized_unary_kernel(unsigned *a, unsigned *r) {
   *r = syclcompat::vectorized_unary<ValueT>(*a, UnaryOp());
@@ -203,5 +215,67 @@ int main() {
   test_vectorized_binary_with_pred<syclcompat::minimum, sycl::ushort2>(
       0x80010002, 0x00040002, 0x00040002, false, true);
 
+  // Logical Binary Operators v2
+  test_vectorized_binary_logical<std::equal_to<>, sycl::short2>(
+      0xFFF00002, 0xFFF00001, 0xFFFF0000);
+  test_vectorized_binary_logical<std::equal_to<>, sycl::short2>(
+      0x0001F00F, 0x0003F00F, 0x0000FFFF);
+
+  test_vectorized_binary_logical<std::not_equal_to<>, sycl::short2>(
+      0xFFF00002, 0xFFF00001, 0x0000FFFF);
+  test_vectorized_binary_logical<std::not_equal_to<>, sycl::short2>(
+      0x0001F00F, 0x0003F00F, 0xFFFF0000);
+
+  test_vectorized_binary_logical<std::greater_equal<>, sycl::short2>(
+      0xFFF00002, 0xFFF00001, 0xFFFFFFFF);
+  test_vectorized_binary_logical<std::greater_equal<>, sycl::short2>(
+      0x0001F00F, 0x0003F001, 0x0000FFFF);
+
+  test_vectorized_binary_logical<std::greater<>, sycl::short2>(
+      0xFFF00002, 0xFFF00001, 0x0000FFFF);
+  test_vectorized_binary_logical<std::greater<>, sycl::short2>(
+      0x0003F00F, 0x0001F00F, 0xFFFF0000);
+
+  test_vectorized_binary_logical<std::less_equal<>, sycl::short2>(
+      0xFFF00001, 0xF0F00002, 0x0000FFFF);
+  test_vectorized_binary_logical<std::less_equal<>, sycl::short2>(
+      0x0001FF0F, 0x0003F00F, 0xFFFF0000);
+
+  test_vectorized_binary_logical<std::less<>, sycl::short2>(
+      0xFFF00001, 0xFFF00002, 0x0000FFFF);
+  test_vectorized_binary_logical<std::less<>, sycl::short2>(
+      0x0001F00F, 0x0003F00F, 0xFFFF0000);
+
+  // Logical Binary Operators v4
+  test_vectorized_binary_logical<std::equal_to<>, sycl::uchar4>(
+      0x0001F00F, 0x0003F00F, 0xFF00FFFF);
+  test_vectorized_binary_logical<std::equal_to<>, sycl::uchar4>(
+      0x0102F0F0, 0x0202F0FF, 0x00FFFF00);
+
+  test_vectorized_binary_logical<std::not_equal_to<>, sycl::uchar4>(
+      0x0001F00F, 0xFF01F10F, 0xFF00FF00);
+  test_vectorized_binary_logical<std::not_equal_to<>, sycl::uchar4>(
+      0x0201F0F0, 0x0202F0FF, 0x00FF00FF);
+
+  test_vectorized_binary_logical<std::greater_equal<>, sycl::uchar4>(
+      0xFFF00002, 0xFFF10101, 0xFF0000FF);
+  test_vectorized_binary_logical<std::greater_equal<>, sycl::uchar4>(
+      0x0001F1F0, 0x0103F001, 0x0000FFFF);
+
+  test_vectorized_binary_logical<std::greater<>, sycl::uchar4>(
+      0xFFF00002, 0xF0F00001, 0xFF0000FF);
+  test_vectorized_binary_logical<std::greater<>, sycl::uchar4>(
+      0x0103F0F1, 0x0102F0F0, 0x00FF00FF);
+
+  test_vectorized_binary_logical<std::less_equal<>, sycl::uchar4>(
+      0xFFF10001, 0xFFF00100, 0xFF00FF00);
+  test_vectorized_binary_logical<std::less_equal<>, sycl::uchar4>(
+      0x0101F1F0, 0x0003F0F1, 0x00FF00FF);
+
+  test_vectorized_binary_logical<std::less<>, sycl::uchar4>(
+      0xFFF10001, 0xFFF20100, 0x00FFFF00);
+  test_vectorized_binary_logical<std::less<>, sycl::uchar4>(
+      0x0101F1F0, 0x0102F1F1, 0x00FF00FF);
+
   return 0;
 }