diff --git a/jax_scaled_arithmetics/lax/scaled_ops.py b/jax_scaled_arithmetics/lax/scaled_ops.py
index 5bbd252..1fd6f4d 100644
--- a/jax_scaled_arithmetics/lax/scaled_ops.py
+++ b/jax_scaled_arithmetics/lax/scaled_ops.py
@@ -1,6 +1,7 @@
 # Copyright (c) 2023 Graphcore Ltd. All rights reserved.
 from typing import Any, Optional, Sequence, Tuple
 
+import jax
 import jax.numpy as jnp
 import numpy as np
 from jax import lax
@@ -145,3 +146,52 @@ def scaled_reduce_min(val: ScaledArray, axes: Tuple[int]) -> ScaledArray:
     data = lax.reduce_min_p.bind(val.data, axes=axes)
     # unchanged scaling.
     return ScaledArray(data, val.scale)
+
+
+@core.register_scaled_lax_op
+def scaled_is_finite(val: ScaledArray) -> jax.Array:
+    assert isinstance(val, ScaledArray)
+    if np.issubdtype(val.scale.dtype, np.integer):
+        # Integer scale case => only check the data component.
+        return lax.is_finite(val.data)
+    # Both data & scale need to be finite!
+    return lax.and_p.bind(lax.is_finite(val.data), lax.is_finite(val.scale))
+
+
+def scaled_boolean_binary_op(lhs: ScaledArray, rhs: ScaledArray, prim: jax.core.Primitive) -> jax.Array:
+    """Generic implementation of any boolean binary operation."""
+    assert isinstance(lhs, ScaledArray)
+    assert isinstance(rhs, ScaledArray)
+    # FIXME: fix this absolute horror!
+    # TODO: use max scale + special case for scalars.
+    return prim.bind(lhs.to_array(dtype=np.float32), rhs.to_array(dtype=np.float32))
+
+
+@core.register_scaled_lax_op
+def scaled_eq(lhs: ScaledArray, rhs: ScaledArray) -> jax.Array:
+    return scaled_boolean_binary_op(lhs, rhs, lax.eq_p)
+
+
+@core.register_scaled_lax_op
+def scaled_ne(lhs: ScaledArray, rhs: ScaledArray) -> jax.Array:
+    return scaled_boolean_binary_op(lhs, rhs, lax.ne_p)
+
+
+@core.register_scaled_lax_op
+def scaled_gt(lhs: ScaledArray, rhs: ScaledArray) -> jax.Array:
+    return scaled_boolean_binary_op(lhs, rhs, lax.gt_p)
+
+
+@core.register_scaled_lax_op
+def scaled_ge(lhs: ScaledArray, rhs: ScaledArray) -> jax.Array:
+    return scaled_boolean_binary_op(lhs, rhs, lax.ge_p)
+
+
+@core.register_scaled_lax_op
+def scaled_lt(lhs: ScaledArray, rhs: ScaledArray) -> jax.Array:
+    return scaled_boolean_binary_op(lhs, rhs, lax.lt_p)
+
+
+@core.register_scaled_lax_op
+def scaled_le(lhs: ScaledArray, rhs: ScaledArray) -> jax.Array:
+    return scaled_boolean_binary_op(lhs, rhs, lax.le_p)
diff --git a/tests/lax/test_scaled_ops.py b/tests/lax/test_scaled_ops.py
index 799f545..bb67fdc 100644
--- a/tests/lax/test_scaled_ops.py
+++ b/tests/lax/test_scaled_ops.py
@@ -1,5 +1,6 @@
 # Copyright (c) 2023 Graphcore Ltd. All rights reserved.
 import chex
+import jax
 import numpy as np
 import numpy.testing as npt
 from absl.testing import parameterized
@@ -12,6 +13,7 @@
     scaled_concatenate,
     scaled_convert_element_type,
     scaled_dot_general,
+    scaled_is_finite,
     scaled_mul,
     scaled_slice,
     scaled_sub,
@@ -120,3 +122,23 @@ def test__scaled_reduce__single_axis__proper_scaling(self, reduce_prim, expected
         assert out.dtype == val.dtype
         npt.assert_almost_equal(out.scale, expected_scale)
         npt.assert_array_almost_equal(out, reduce_prim.bind(np.asarray(val), axes=axes))
+
+
+class ScaledTranslationBooleanPrimitivesTests(chex.TestCase):
+    def setUp(self):
+        super().setUp()
+        # Use random state for reproducibility!
+        self.rs = np.random.RandomState(42)
+
+    @parameterized.parameters(
+        {"val": scaled_array([2, 3], 2.0, dtype=np.float32), "expected_out": [True, True]},
+        # Supporting `int` scale as well.
+        {"val": scaled_array([2, np.inf], 2, dtype=np.float32), "expected_out": [True, False]},
+        {"val": scaled_array([2, 3], np.nan, dtype=np.float32), "expected_out": [False, False]},
+        {"val": scaled_array([np.nan, 3], 3.0, dtype=np.float32), "expected_out": [False, True]},
+    )
+    def test__scaled_is_finite__proper_result(self, val, expected_out):
+        out = scaled_is_finite(val)
+        assert isinstance(out, jax.Array)
+        assert out.dtype == np.bool_
+        npt.assert_array_equal(out, expected_out)