diff --git a/sycl/include/sycl/ext/oneapi/matrix/matrix-tensorcore.hpp b/sycl/include/sycl/ext/oneapi/matrix/matrix-tensorcore.hpp
index cf53bec8f943..b16e902c3f2e 100644
--- a/sycl/include/sycl/ext/oneapi/matrix/matrix-tensorcore.hpp
+++ b/sycl/include/sycl/ext/oneapi/matrix/matrix-tensorcore.hpp
@@ -22,6 +22,7 @@ enum class matrix_layout { row_major, col_major, packed_a, packed_b };
 
 namespace precision {
 class tf32 {};
+class b1 {};
 } // namespace precision
 
 template <typename T, matrix_use Use, size_t Rows = sycl::dynamic_extent,
@@ -113,6 +114,9 @@ __SYCL_JOINT_MATRIX_OVERLOAD_ARR(double, a, 8, 4, 1)
 __SYCL_JOINT_MATRIX_OVERLOAD_ARR(double, b, 4, 8, 1)
 __SYCL_JOINT_MATRIX_OVERLOAD_ARR(double, accumulator, 8, 8, 2)
 
+// single-bit accumulator
+__SYCL_JOINT_MATRIX_OVERLOAD_ARR(int32_t, accumulator, 8, 8, 2)
+
 #undef __SYCL_JOINT_MATRIX_OVERLOAD_ARR
 
 #define __SYCL_JOINT_MATRIX_OVERLOAD_ARR_PRECISION(precision, use, M, N, type, \
@@ -153,6 +157,32 @@ __SYCL_JOINT_MATRIX_OVERLOAD(uint16_t, b, 16, 8, int32_t, 2)
 __SYCL_JOINT_MATRIX_OVERLOAD(uint16_t, a, 16, 16, int32_t, 4)
 __SYCL_JOINT_MATRIX_OVERLOAD(uint16_t, b, 16, 16, int32_t, 4)
 
+// single-bit
+template <matrix_layout Layout>
+struct joint_matrix<
+    precision::b1, matrix_use::a, 8, 128, Layout, sycl::sub_group,
+    typename std::enable_if_t<Layout == matrix_layout::row_major ||
+                              Layout == matrix_layout::col_major>> {
+  joint_matrix() {
+    static_assert((Layout == matrix_layout::row_major),
+                  "For the matrix_use::a case, matrix_layout::row_major must "
+                  "be used for Bitwise MAD");
+  };
+  int32_t data;
+};
+
+template <matrix_layout Layout>
+struct joint_matrix<
+    precision::b1, matrix_use::b, 128, 8, Layout, sycl::sub_group,
+    typename std::enable_if_t<Layout == matrix_layout::row_major ||
+                              Layout == matrix_layout::col_major>> {
+  joint_matrix() {
+    static_assert((Layout == matrix_layout::col_major),
+                  "For the matrix_use::b case, matrix_layout::col_major must "
+                  "be used for Bitwise MAD");
+  };
+  int32_t data;
+};
 #undef __SYCL_JOINT_MATRIX_OVERLOAD
 
 template <typename Group, typename T, matrix_use Use, size_t NumRows,
@@ -342,6 +372,9 @@ struct joint_matrix_load_impl<
       } else if constexpr (NumRows == 32 && NumCols == 8) {
         __imma_m32n8k16_ld_c(destptr, src.get(), stride,
                              get_layout_id<Layout>());
+      } else if constexpr (NumRows == 8 && NumCols == 8) {
+        __bmma_m8n8k128_ld_c(destptr, src.get(), stride,
+                             get_layout_id<Layout>());
       }
     } else if constexpr (std::is_same<T, float>::value) {
       if constexpr (std::is_same<S, float>::value) {
@@ -381,6 +414,16 @@ struct joint_matrix_load_impl<
                                       matrix_use::accumulator) {
         __dmma_m8n8k4_ld_c(dstptr, src.get(), stride, get_layout_id<Layout>());
       }
+    } else if constexpr (std::is_same<S, sycl::ext::oneapi::experimental::
+                                             matrix::precision::b1>::value) {
+      int32_t *tileptr = reinterpret_cast<int32_t *>(src.get());
+      if constexpr (NumRows == 8 && NumCols == 128) {
+        __bmma_m8n8k128_ld_a_b1(&res.data, tileptr, stride,
+                                get_layout_id<Layout>());
+      } else if constexpr (NumRows == 128 && NumCols == 8) {
+        __bmma_m8n8k128_ld_b_b1(&res.data, tileptr, stride,
+                                get_layout_id<Layout>());
+      }
     }
   }
 };
@@ -458,6 +501,10 @@ struct joint_matrix_store_impl<
       __dmma_m8n8k4_st_c_f64(dst.get(),
                              reinterpret_cast<double *>(&src.wi_marray), stride,
                              get_layout_id<Layout>());
+    } else if constexpr (std::is_same<T, int32_t>::value) {
+      __bmma_m8n8k128_st_c_i32(dst.get(),
+                               reinterpret_cast<int32_t *>(&src.wi_marray),
+                               stride, get_layout_id<Layout>());
     }
   }
 };
@@ -486,6 +533,33 @@ struct joint_matrix_mad_impl {
           C);
 };
 
+template <std::size_t M, std::size_t K, std::size_t N,
+          sycl::ext::oneapi::experimental::matrix::matrix_layout LayoutC,
+          class BinaryOperation, typename Cond = void>
+struct joint_matrix_bmad_impl {
+  sycl::ext::oneapi::experimental::matrix::joint_matrix<
+      int32_t, sycl::ext::oneapi::experimental::matrix::matrix_use::accumulator,
+      M, N, LayoutC, sycl::sub_group>
+  bmad(sycl::ext::oneapi::experimental::matrix::joint_matrix<
+           sycl::ext::oneapi::experimental::matrix::precision::b1,
+           sycl::ext::oneapi::experimental::matrix::matrix_use::a, M, K,
+           sycl::ext::oneapi::experimental::matrix::matrix_layout::row_major,
+           sycl::sub_group>
+           A,
+       sycl::ext::oneapi::experimental::matrix::joint_matrix<
+           sycl::ext::oneapi::experimental::matrix::precision::b1,
+           sycl::ext::oneapi::experimental::matrix::matrix_use::b, K, N,
+           sycl::ext::oneapi::experimental::matrix::matrix_layout::col_major,
+           sycl::sub_group>
+           B,
+       sycl::ext::oneapi::experimental::matrix::joint_matrix<
+           int32_t,
+           sycl::ext::oneapi::experimental::matrix::matrix_use::accumulator, M,
+           N, LayoutC, sycl::sub_group>
+           C,
+       BinaryOperation Op);
+};
+
 template <sycl::ext::oneapi::experimental::matrix::matrix_layout LayoutA,
           sycl::ext::oneapi::experimental::matrix::matrix_layout LayoutB>
 constexpr int get_layout_pair_id();
@@ -686,6 +760,63 @@ struct joint_matrix_mad_impl<
 };
 #endif // __cplusplus >= 201703L
 
+#if __cplusplus >= 201703L // if constexpr usage
+template <std::size_t M, std::size_t K, std::size_t N,
+          sycl::ext::oneapi::experimental::matrix::matrix_layout LayoutC,
+          class BinaryOperation>
+struct joint_matrix_bmad_impl<
+    M, K, N, LayoutC, BinaryOperation,
+    typename std::enable_if_t<(
+        LayoutC ==
+            sycl::ext::oneapi::experimental::matrix::matrix_layout::row_major ||
+        LayoutC == sycl::ext::oneapi::experimental::matrix::matrix_layout::
+                       col_major)>> {
+  sycl::ext::oneapi::experimental::matrix::joint_matrix<
+      int32_t, sycl::ext::oneapi::experimental::matrix::matrix_use::accumulator,
+      M, N, LayoutC, sycl::sub_group>
+  bmad(sycl::ext::oneapi::experimental::matrix::joint_matrix<
+           sycl::ext::oneapi::experimental::matrix::precision::b1,
+           sycl::ext::oneapi::experimental::matrix::matrix_use::a, M, K,
+           sycl::ext::oneapi::experimental::matrix::matrix_layout::row_major,
+           sycl::sub_group>
+           A,
+       sycl::ext::oneapi::experimental::matrix::joint_matrix<
+           sycl::ext::oneapi::experimental::matrix::precision::b1,
+           sycl::ext::oneapi::experimental::matrix::matrix_use::b, K, N,
+           sycl::ext::oneapi::experimental::matrix::matrix_layout::col_major,
+           sycl::sub_group>
+           B,
+       sycl::ext::oneapi::experimental::matrix::joint_matrix<
+           int32_t,
+           sycl::ext::oneapi::experimental::matrix::matrix_use::accumulator, M,
+           N, LayoutC, sycl::sub_group>
+           C,
+       BinaryOperation Op) {
+    sycl::ext::oneapi::experimental::matrix::joint_matrix<
+        int32_t,
+        sycl::ext::oneapi::experimental::matrix::matrix_use::accumulator, M, N,
+        LayoutC, sycl::sub_group>
+        D;
+
+    if constexpr (std::is_same<
+                      BinaryOperation,
+                      sycl::bit_and<sycl::ext::oneapi::experimental::matrix::
+                                        precision::b1>>::value) {
+      __bmma_m8n8k128_mma_and_popc_b1(
+          reinterpret_cast<int32_t *>(&D.wi_marray), &A.data, &B.data,
+          reinterpret_cast<int32_t *>(&C.wi_marray), 1);
+    } else if constexpr (std::is_same<
+                             BinaryOperation,
+                             sycl::bit_xor<sycl::ext::oneapi::experimental::
+                                               matrix::precision::b1>>::value) {
+      __bmma_m8n8k128_mma_xor_popc_b1(
+          reinterpret_cast<int32_t *>(&D.wi_marray), &A.data, &B.data,
+          reinterpret_cast<int32_t *>(&C.wi_marray), 1);
+    }
+    return D;
+  }
+};
+#endif // __cplusplus >= 201703L
 } // namespace detail
 
 namespace experimental {
@@ -696,7 +827,9 @@ template <typename Group, typename S, typename T, matrix_use Use,
           access::address_space Space,
           std::enable_if_t<std::is_same<S, T>::value ||
                                (std::is_same<S, precision::tf32>::value &&
-                                std::is_same<T, float>::value),
+                                std::is_same<T, float>::value) ||
+                               (std::is_same<S, precision::b1>::value &&
+                                std::is_same<T, uint32_t>::value),
                            bool> = true>
 void joint_matrix_load(
     Group sg, joint_matrix<S, Use, NumRows, NumCols, Layout, Group> &res,
@@ -777,6 +910,35 @@ float round_to_tf32(float a) {
 #endif // defined(__SYCL_DEVICE_ONLY__) && defined(__NVPTX__)
 }
 
+template <typename Group, std::size_t M, std::size_t K, std::size_t N,
+          matrix_layout LayoutC, class BinaryOperation>
+joint_matrix<int32_t, matrix_use::accumulator, M, N, LayoutC, Group>
+joint_matrix_bmad(
+    Group sg,
+    joint_matrix<precision::b1, matrix_use::a, M, K, matrix_layout::row_major,
+                 Group>
+        A,
+    joint_matrix<precision::b1, matrix_use::b, K, N, matrix_layout::col_major,
+                 Group>
+        B,
+    joint_matrix<int32_t, matrix_use::accumulator, M, N, LayoutC, Group> C,
+    BinaryOperation Op) {
+#if defined(__SYCL_DEVICE_ONLY__) && defined(__NVPTX__)
+  return sycl::ext::oneapi::detail::joint_matrix_bmad_impl<M, K, N, LayoutC,
+                                                           BinaryOperation>{}
+      .bmad(A, B, C, Op);
+#else
+  std::ignore = sg;
+  std::ignore = A;
+  std::ignore = B;
+  std::ignore = C;
+  std::ignore = Op;
+  throw runtime_error("joint_matrix_bmad is "
+                      "only supported by CUDA devices",
+                      PI_ERROR_INVALID_DEVICE);
+#endif // defined(__SYCL_DEVICE_ONLY__) && defined(__NVPTX__)
+}
+
 } // namespace matrix
 } // namespace experimental
 } // namespace oneapi
diff --git a/sycl/test/check_device_code/matrix/matrix-nvptx-single-bit-test.cpp b/sycl/test/check_device_code/matrix/matrix-nvptx-single-bit-test.cpp
new file mode 100644
index 000000000000..627971124b57
--- /dev/null
+++ b/sycl/test/check_device_code/matrix/matrix-nvptx-single-bit-test.cpp
@@ -0,0 +1,78 @@
+// REQUIRES: cuda
+
+// RUN: %clangxx -fsycl-device-only -fsycl-targets=nvptx64-nvidia-cuda -Xsycl-target-backend --cuda-gpu-arch=sm_80 -DSYCL_EXT_ONEAPI_MATRIX=3 -S -Xclang -emit-llvm %s -o -| FileCheck %s
+
+#include <sycl/sycl.hpp>
+
+using namespace sycl;
+using namespace sycl::ext::oneapi::experimental::matrix;
+
+// M, N, (K * 32) define the sizes of dimensions of the three matrix types (a,
+// b, accumulator) used per subgroup operation.
+constexpr int M = 8;   // number of rows of accumulator,
+                       // number of cols of b.
+constexpr int N = 8;   // number of cols of accumulator,
+                       // number of rows of a.
+constexpr int K = 128; // number of cols of a/number of rows of b divided by 32
+
+// Each bit of each uint32_t A/B array element is an element of a single-bit
+// matrix. joint_matrix_bmad performs Binary Dot Products on these matrices (see
+// M. Rastegari et al. Computer Vision – ECCV 2016, 525-542 and A. Li et al.
+// IEEE Transactions on Parallel and Distributed Systems, 32(7):1878-1891,
+// 2021))
+uint32_t A[M * (K / 32)];
+uint32_t B[(K / 32) * N];
+int32_t C[M * N];
+int32_t D[M * N];
+
+int main() {
+
+  buffer<uint32_t, 1> bufA(A, range<1>(M * (K / 32)));
+  buffer<uint32_t, 1> bufB(B, range<1>((K / 32) * N));
+  buffer<int32_t, 1> bufC(C, range<1>(M * N));
+  buffer<int32_t, 1> bufD(D, range<1>(M * N));
+
+  queue q;
+
+  q.submit([&](handler &cgh) {
+    auto accC = bufC.get_access<access::mode::read_write>(cgh);
+    auto accA = bufA.get_access<access::mode::read_write>(cgh);
+    auto accB = bufB.get_access<access::mode::read_write>(cgh);
+    auto accD = bufD.get_access<access::mode::read_write>(cgh);
+
+    cgh.parallel_for<class row_col>(
+        nd_range<2>({1, 32}, {1, 32}),
+        [=](nd_item<2> item) [[sycl::reqd_work_group_size(1, 1, 32)]] {
+          sycl::sub_group sg = item.get_sub_group();
+
+          joint_matrix<int32_t, matrix_use::accumulator, M, N,
+                       matrix_layout::row_major>
+              sub_c;
+
+          joint_matrix<precision::b1, matrix_use::a, M, K,
+                       matrix_layout::row_major>
+              sub_a;
+
+          joint_matrix<precision::b1, matrix_use::b, K, N,
+                       matrix_layout::col_major>
+              sub_b;
+
+          //CHECK: tail call { i32, i32 } @llvm.nvvm.wmma.m8n8k128.load.c.row.stride.s32.p1i32(i32 addrspace(1)* %_arg_accC, i32 8)
+          joint_matrix_load(sg, sub_c, accC.get_pointer(), N);
+          //CHECK: tail call i32 @llvm.nvvm.wmma.m8n8k128.load.a.row.stride.b1.p0i32(i32* %call.ascast.i.i{{.*}}.i, i32 128)
+          joint_matrix_load(sg, sub_a, accA.get_pointer(), K);
+          //CHECK: tail call i32 @llvm.nvvm.wmma.m8n8k128.load.b.col.stride.b1.p0i32(i32* %call.ascast.i.i{{.*}}.i, i32 128)
+          joint_matrix_load(sg, sub_b, accB.get_pointer(), K);
+          //CHECK: tail call { i32, i32 } @llvm.nvvm.wmma.m8n8k128.mma.xor.popc.row.col.b1(i32 %3, i32 %4, i32 %1, i32 %2)
+          sub_c = joint_matrix_bmad(sg, sub_a, sub_b, sub_c,
+                                    sycl::bit_xor<precision::b1>());
+          //CHECK: tail call { i32, i32 } @llvm.nvvm.wmma.m8n8k128.mma.and.popc.row.col.b1(i32 %3, i32 %4, i32 %6, i32 %7)
+          sub_c = joint_matrix_bmad(sg, sub_a, sub_b, sub_c,
+                                    sycl::bit_and<precision::b1>());
+          //CHECK: tail call void @llvm.nvvm.wmma.m8n8k128.store.d.row.stride.s32.p1i32(i32 addrspace(1)* %_arg_accD, i32 %9, i32 %10, i32 8)
+          joint_matrix_store(sg, sub_c, accD.get_pointer(), N);
+        });
+  });
+
+  return 0;
+};