diff --git a/include/pisa/linear_quantizer.hpp b/include/pisa/linear_quantizer.hpp
index 5be852ee..9d2faf50 100644
--- a/include/pisa/linear_quantizer.hpp
+++ b/include/pisa/linear_quantizer.hpp
@@ -1,19 +1,23 @@
 #pragma once
-#include "spdlog/spdlog.h"
+
 #include <cmath>
+#include <cstdint>
+
+#include <fmt/format.h>
 #include <gsl/gsl_assert>
 
 namespace pisa {
 
 struct LinearQuantizer {
-    explicit LinearQuantizer(float max, uint8_t bits)
-        : m_max(max), m_scale(static_cast<float>(1U << (bits)) / max) {
+    explicit LinearQuantizer(float max, std::uint8_t bits)
+        : m_max(max), m_scale(static_cast<float>((1U << bits) - 1U) / max) {
         if (bits > 32 or bits == 0) {
             throw std::runtime_error(fmt::format(
                 "Linear quantizer must take a number of bits between 1 and 32 but {} passed", bits
             ));
         }
     }
+
     [[nodiscard]] auto operator()(float value) const -> std::uint32_t {
         Expects(value <= m_max);
         return std::ceil(value * m_scale);
@@ -24,4 +28,4 @@ struct LinearQuantizer {
     float m_scale;
 };
 
-}  // namespace pisa
\ No newline at end of file
+}  // namespace pisa
diff --git a/test/test_linear_quantizer.cpp b/test/test_linear_quantizer.cpp
new file mode 100644
index 00000000..2787e92f
--- /dev/null
+++ b/test/test_linear_quantizer.cpp
@@ -0,0 +1,24 @@
+#define CATCH_CONFIG_MAIN
+#include "catch2/catch.hpp"
+
+#include <limits>
+
+#include "linear_quantizer.hpp"
+
+TEST_CASE("LinearQuantizer", "[scoring][unit]") {
+    SECTION("construct") {
+        WHEN("number of bits is 0 or 33") {
+            std::uint8_t bits = GENERATE(0, 33);
+            THEN("constructor fails") {
+                REQUIRE_THROWS(pisa::LinearQuantizer(10.0, bits));
+            }
+        }
+    }
+    SECTION("scores") {
+        std::uint8_t bits = GENERATE(3, 8, 12, 16, 19, 32);
+        float max = GENERATE(1.0, 100.0, std::numeric_limits<float>::max());
+        pisa::LinearQuantizer quantizer(max, bits);
+        REQUIRE(quantizer(0) == 0);
+        REQUIRE(quantizer(max) == (1 << bits) - 1);
+    }
+}