diff --git a/concrete/numpy/dtypes/__init__.py b/concrete/numpy/dtypes/__init__.py
new file mode 100644
index 000000000..7a019414d
--- /dev/null
+++ b/concrete/numpy/dtypes/__init__.py
@@ -0,0 +1,7 @@
+"""
+Declaration of `concrete.numpy.dtypes` namespace.
+"""
+
+from .base import BaseDataType
+from .float import Float
+from .integer import Integer, SignedInteger, UnsignedInteger
diff --git a/concrete/numpy/dtypes/base.py b/concrete/numpy/dtypes/base.py
new file mode 100644
index 000000000..50521d140
--- /dev/null
+++ b/concrete/numpy/dtypes/base.py
@@ -0,0 +1,17 @@
+"""
+Declaration of `BaseDataType` abstract class.
+"""
+
+from abc import ABC, abstractmethod
+
+
+class BaseDataType(ABC):
+    """BaseDataType abstract class, to form a basis for data types."""
+
+    @abstractmethod
+    def __eq__(self, other: object) -> bool:
+        pass  # pragma: no cover
+
+    @abstractmethod
+    def __str__(self) -> str:
+        pass  # pragma: no cover
diff --git a/concrete/numpy/dtypes/float.py b/concrete/numpy/dtypes/float.py
new file mode 100644
index 000000000..f3e35b15b
--- /dev/null
+++ b/concrete/numpy/dtypes/float.py
@@ -0,0 +1,30 @@
+"""
+Declaration of `Float` class.
+"""
+
+from .base import BaseDataType
+
+
+class Float(BaseDataType):
+    """
+    Float class, to represent floating point numbers.
+    """
+
+    bit_width: int
+
+    def __init__(self, bit_width: int):
+        super().__init__()
+
+        if bit_width not in [16, 32, 64]:
+            raise ValueError(
+                f"Float({repr(bit_width)}) is not supported "
+                f"(bit width must be one of 16, 32 or 64)"
+            )
+
+        self.bit_width = bit_width
+
+    def __eq__(self, other: object) -> bool:
+        return isinstance(other, self.__class__) and self.bit_width == other.bit_width
+
+    def __str__(self) -> str:
+        return f"float{self.bit_width}"
diff --git a/concrete/numpy/dtypes/integer.py b/concrete/numpy/dtypes/integer.py
new file mode 100644
index 000000000..732d86101
--- /dev/null
+++ b/concrete/numpy/dtypes/integer.py
@@ -0,0 +1,152 @@
+"""
+Declaration of `Integer` class.
+"""
+
+from functools import partial
+from typing import Any
+
+import numpy as np
+
+from .base import BaseDataType
+
+
+class Integer(BaseDataType):
+    """
+    Integer class, to represent integers.
+    """
+
+    is_signed: bool
+    bit_width: int
+
+    @staticmethod
+    def that_can_represent(value: Any, force_signed: bool = False) -> "Integer":
+        """
+        Get the minimal `Integer` that can represent `value`.
+
+        Args:
+            value (Any):
+                value that needs to be represented
+
+            force_signed (bool, default = False):
+                whether to force signed integers or not
+
+        Returns:
+            Integer:
+                minimal `Integer` that can represent `value`
+
+        Raises:
+            ValueError:
+                if `value` cannot be represented by `Integer`
+        """
+
+        lower_bound: int
+        upper_bound: int
+
+        if isinstance(value, list):
+            try:
+                value = np.array(value)
+            except Exception:  # pylint: disable=broad-except
+                # here we try our best to convert the list to np.ndarray
+                # if it fails we raise the exception at the else branch below
+                pass
+
+        if isinstance(value, (int, np.integer)):
+            lower_bound = int(value)
+            upper_bound = int(value)
+        elif isinstance(value, np.ndarray) and np.issubdtype(value.dtype, np.integer):
+            lower_bound = int(value.min())
+            upper_bound = int(value.max())
+        else:
+            raise ValueError(f"Integer cannot represent {repr(value)}")
+
+        def bits_to_represent_int(value: int, force_signed: bool) -> int:
+            bits: int
+
+            if value == 0:
+                return 1
+
+            if value < 0:
+                bits = int(np.ceil(np.log2(abs(value)))) + 1
+            else:
+                bits = int(np.ceil(np.log2(value + 1)))
+                if force_signed:
+                    bits += 1
+
+            return bits
+
+        is_signed = force_signed or lower_bound < 0
+        bit_width = (
+            bits_to_represent_int(lower_bound, is_signed)
+            if lower_bound == upper_bound
+            else max(
+                bits_to_represent_int(lower_bound, is_signed),
+                bits_to_represent_int(upper_bound, is_signed),
+            )
+        )
+
+        return Integer(is_signed, bit_width)
+
+    def __init__(self, is_signed: bool, bit_width: int):
+        super().__init__()
+
+        if not isinstance(bit_width, int) or bit_width <= 0:
+            integer_str = "SignedInteger" if is_signed else "UnsignedInteger"
+            raise ValueError(
+                f"{integer_str}({repr(bit_width)}) is not supported "
+                f"(bit width must be a positive integer)"
+            )
+
+        self.is_signed = is_signed
+        self.bit_width = bit_width
+
+    def __eq__(self, other: Any) -> bool:
+        return (
+            isinstance(other, self.__class__)
+            and self.is_signed == other.is_signed
+            and self.bit_width == other.bit_width
+        )
+
+    def __str__(self) -> str:
+        return f"{('int' if self.is_signed else 'uint')}{self.bit_width}"
+
+    def min(self) -> int:
+        """
+        Get the minumum value that can be represented by the `Integer`.
+
+        Returns:
+            int:
+                minumum value that can be represented by the `Integer`
+        """
+
+        return 0 if not self.is_signed else -(2 ** (self.bit_width - 1))
+
+    def max(self) -> int:
+        """
+        Get the maximum value that can be represented by the `Integer`.
+
+        Returns:
+            int:
+                maximum value that can be represented by the `Integer`
+        """
+
+        return (2 ** self.bit_width) - 1 if not self.is_signed else (2 ** (self.bit_width - 1)) - 1
+
+    def can_represent(self, value: int) -> bool:
+        """
+        Get whether `value` can be represented by the `Integer` or not.
+
+        Args:
+            value (int):
+                value to check representability
+
+        Returns:
+            bool:
+                True if `value` is representable by the `integer`, False otherwise
+        """
+
+        return self.min() <= value <= self.max()
+
+
+SignedInteger = partial(Integer, True)
+
+UnsignedInteger = partial(Integer, False)
diff --git a/concrete/numpy/dtypes/utils.py b/concrete/numpy/dtypes/utils.py
new file mode 100644
index 000000000..06f584065
--- /dev/null
+++ b/concrete/numpy/dtypes/utils.py
@@ -0,0 +1,74 @@
+"""
+Declaration of various functions and constants related to data types.
+"""
+
+from typing import List
+
+from ..internal.utils import assert_that
+from .base import BaseDataType
+from .float import Float
+from .integer import Integer, SignedInteger, UnsignedInteger
+
+
+def combine_dtypes(dtypes: List[BaseDataType]) -> BaseDataType:
+    """
+    Get the 'BaseDataType' that can represent a set of 'BaseDataType's.
+
+    Args:
+        dtypes (List[BaseDataType]):
+            dtypes to combine
+
+    Returns:
+        BaseDataType:
+            dtype that can hold all the given dtypes (potentially lossy)
+    """
+
+    assert_that(len(dtypes) != 0)
+    assert_that(all(isinstance(dtype, (Integer, Float)) for dtype in dtypes))
+
+    def combine_2_dtypes(dtype1: BaseDataType, dtype2: BaseDataType) -> BaseDataType:
+        result: BaseDataType = dtype1
+
+        if isinstance(dtype1, Integer) and isinstance(dtype2, Integer):
+            max_bits = max(dtype1.bit_width, dtype2.bit_width)
+
+            if dtype1.is_signed and dtype2.is_signed:
+                result = SignedInteger(max_bits)
+
+            elif not dtype1.is_signed and not dtype2.is_signed:
+                result = UnsignedInteger(max_bits)
+
+            elif dtype1.is_signed and not dtype2.is_signed:
+                # if dtype2 has the bigger bit_width,
+                # we need a signed integer that can hold
+                # it, so add 1 bit of sign to its bit_width
+                if dtype2.bit_width >= dtype1.bit_width:
+                    new_bit_width = dtype2.bit_width + 1
+                    result = SignedInteger(new_bit_width)
+                else:
+                    result = SignedInteger(dtype1.bit_width)
+
+            elif not dtype1.is_signed and dtype2.is_signed:
+                # Same as above, with dtype1 and dtype2 switched around
+                if dtype1.bit_width >= dtype2.bit_width:
+                    new_bit_width = dtype1.bit_width + 1
+                    result = SignedInteger(new_bit_width)
+                else:
+                    result = SignedInteger(dtype2.bit_width)
+
+        elif isinstance(dtype1, Float) and isinstance(dtype2, Float):
+            max_bits = max(dtype1.bit_width, dtype2.bit_width)
+            result = Float(max_bits)
+
+        elif isinstance(dtype1, Float):
+            result = dtype1
+
+        elif isinstance(dtype2, Float):
+            result = dtype2
+
+        return result
+
+    result = dtypes[0]
+    for other in dtypes[1:]:
+        result = combine_2_dtypes(result, other)
+    return result