diff --git a/src/num_sys_class.py b/src/num_sys_class.py
index 7c10838..504e275 100644
--- a/src/num_sys_class.py
+++ b/src/num_sys_class.py
@@ -265,6 +265,120 @@ def real_to_format_tensor(self, tensor):
         return tensor.to(torch.bfloat16)
 
 
+class num_fp8_e4m3(_ieee754):
+    """FP8 E4M3 Number System (4-bit exponent, 3-bit mantissa)
+    
+    Used primarily for weights in transformer inference.
+    Range: [-448, 448], no inf representation (all exponent bits = 1 reserved for NaN)
+    """
+    def __init__(self):
+        super(num_fp8_e4m3, self).__init__(
+            exp_len=4,
+            mant_len=3,
+            bias=7,
+            denorm=True,
+            max_val=448.0,
+            min_val=None
+        )
+        self.has_inf = False
+
+    def real_to_format(self, num):
+        if abs(num) > self.max_val:
+            num = self.max_val if num > 0 else -self.max_val
+        return super().real_to_format(num)
+
+    def format_to_real(self, bit_arr):
+        exp_str = "".join(bit_arr[1:self.exp_len + 1])
+        mant_str = "".join(bit_arr[self.exp_len + 1:])
+        
+        if exp_str == "1" * self.exp_len and mant_str == "1" * self.mant_len:
+            return float('nan')
+        
+        if exp_str == "1" * self.exp_len:
+            sign = pow(-1, int(bit_arr[0]))
+            mant = _number_sys.bin_to_frac(mant_str) + 1
+            exp = int(exp_str, 2) - self.bias
+            return sign * mant * pow(2, exp)
+        
+        return super().format_to_real(bit_arr)
+
+    def real_to_format_tensor(self, tensor):
+        return self._quantize_fp8_e4m3(tensor)
+
+    def _quantize_fp8_e4m3(self, float_arr):
+        sign = torch.sign(float_arr)
+        float_arr = torch.abs(float_arr)
+        
+        float_arr = torch.clamp(float_arr, max=self.max_val)
+        
+        min_normal = 2 ** (-self.bias + 1)
+        min_subnormal = 2 ** (-self.bias - self.mant_len + 1)
+        float_arr[float_arr < min_subnormal] = 0
+        
+        mant, exp = torch.frexp(float_arr)
+        mant = 2 * mant
+        exp = exp - 1
+        
+        n_mant = self.mant_len
+        scale = 2 ** (-n_mant)
+        mant = ((mant / scale).round()) * scale
+        
+        power_exp = torch.exp2(exp.float())
+        
+        return sign * power_exp * mant
+
+
+class num_fp8_e5m2(_ieee754):
+    """FP8 E5M2 Number System (5-bit exponent, 2-bit mantissa)
+    
+    Used primarily for gradients in transformer training.
+    Range: [-57344, 57344], supports inf representation
+    """
+    def __init__(self):
+        super(num_fp8_e5m2, self).__init__(
+            exp_len=5,
+            mant_len=2,
+            bias=15,
+            denorm=True,
+            max_val=57344.0,
+            min_val=None
+        )
+        self.has_inf = True
+
+    def real_to_format(self, num):
+        if abs(num) > self.max_val:
+            return super().real_to_format(float('inf') if num > 0 else float('-inf'))
+        return super().real_to_format(num)
+
+    def real_to_format_tensor(self, tensor):
+        return self._quantize_fp8_e5m2(tensor)
+
+    def _quantize_fp8_e5m2(self, float_arr):
+        sign = torch.sign(float_arr)
+        float_arr = torch.abs(float_arr)
+        
+        inf_mask = float_arr > self.max_val
+        float_arr = torch.clamp(float_arr, max=self.max_val)
+        
+        min_subnormal = 2 ** (-self.bias - self.mant_len + 1)
+        float_arr[float_arr < min_subnormal] = 0
+        
+        mant, exp = torch.frexp(float_arr)
+        mant = 2 * mant
+        exp = exp - 1
+        
+        n_mant = self.mant_len
+        scale = 2 ** (-n_mant)
+        mant = ((mant / scale).round()) * scale
+        
+        power_exp = torch.exp2(exp.float())
+        
+        result = sign * power_exp * mant
+        result[inf_mask] = sign[inf_mask] * float('inf')
+        
+        return result
+
+
 class num_fixed_pt(_number_sys):
     """Fixed Point Number System"""
     # 1 bit for sign + len(integer part) + len(frac part)
diff --git a/src/util.py b/src/util.py
index 2f7cdc0..ae678cf 100644
--- a/src/util.py
+++ b/src/util.py
@@ -616,6 +616,10 @@ def getNumSysName(name, bits=16, radix_up=5, radix_down=10, bias=None):
         return num_fp16(), name
     elif name == "bfloat16":
         return num_bfloat16(), name
+    elif name == "fp8_e4m3":
+        return num_fp8_e4m3(), name
+    elif name == "fp8_e5m2":
+        return num_fp8_e5m2(), name
 
     # generic number systems in PyTorch
     elif name == "fp_n":
diff --git a/val/test_num_sys.py b/val/test_num_sys.py
index f9bf3c3..4afa6bd 100644
--- a/val/test_num_sys.py
+++ b/val/test_num_sys.py
@@ -334,6 +334,139 @@ def test_num_bfloat16():
                                     '0', '0', '1', '1', '0', '1', '0']) == 255)
 
 
+# FP8 E4M3
+def test_num_fp8_e4m3():
+    # bitwidth of 8, 1 sign bit, 4 exponent bits, 3 mantissa bits
+    fp8 = num_fp8_e4m3()
+
+    # basic conversion tests
+    assert(fp8.format_to_real(['0', '0', '1', '1', '1', '1', '0', '0']) == 1.0)
+    assert(fp8.real_to_format(1.0)
+           == ['0', '0', '1', '1', '1', '1', '0', '0'])
+
+    assert(fp8.format_to_real(['1', '0', '1', '1', '1', '1', '0', '0']) == -1.0)
+    assert(fp8.real_to_format(-1.0)
+           == ['1', '0', '1', '1', '1', '1', '0', '0'])
+
+    # larger values
+    assert(fp8.format_to_real(['0', '1', '0', '0', '0', '0', '0', '0']) == 2.0)
+    assert(fp8.real_to_format(2.0)
+           == ['0', '1', '0', '0', '0', '0', '0', '0'])
+
+    # smaller values
+    assert(fp8.format_to_real(['0', '0', '1', '1', '0', '1', '0', '0']) == 0.625)
+    assert(fp8.real_to_format(0.625)
+           == ['0', '0', '1', '1', '0', '1', '0', '0'])
+
+    # zero
+    assert(fp8.format_to_real(['0', '0', '0', '0', '0', '0', '0', '0']) == 0.0)
+    assert(fp8.real_to_format(0.0)
+           == ['0', '0', '0', '0', '0', '0', '0', '0'])
+    assert(fp8.format_to_real(['1', '0', '0', '0', '0', '0', '0', '0']) == 0.0)
+
+    # NaN (all exponent bits = 1, all mantissa bits = 1)
+    assert(math.isnan(fp8.format_to_real(
+           ['0', '1', '1', '1', '1', '1', '1', '1'])))
+    assert(math.isnan(fp8.format_to_real(
+           ['1', '1', '1', '1', '1', '1', '1', '1'])))
+
+    # max value (448)
+    assert(fp8.format_to_real(['0', '1', '1', '1', '1', '1', '1', '0']) == 448.0)
+    assert(fp8.real_to_format(448.0)
+           == ['0', '1', '1', '1', '1', '1', '1', '0'])
+
+    # clamping beyond max
+    result = fp8.real_to_format(500.0)
+    assert(fp8.format_to_real(result) == 448.0)
+
+    # tensor quantization
+    test1 = torch.tensor([[-1.0, 2.0, -0.5, 0.25],
+                          [-1.5, 4.0, 1.0, 0.125],
+                          [0.0, -0.0, -8.0, 16.0],
+                          [-0.25, 0.5, 0.75, -2.0]])
+
+    output1 = fp8.real_to_format_tensor(test1)
+    assert(output1.shape == test1.shape)
+    assert(output1[0][0].item() == -1.0)
+    assert(output1[0][1].item() == 2.0)
+    assert(output1[2][2].item() == -8.0)
+    assert(output1[2][3].item() == 16.0)
+
+    # bit flip tests
+    assert(fp8.single_bit_flip_in_format(1.0, 0) == 1.125)
+    assert(fp8.single_bit_flip_in_format(1.0, 7) == -1.0)
+
+    # convert_numsys_flip
+    assert(fp8.convert_numsys_flip(1.0, 0) == 1.0)
+    assert(fp8.convert_numsys_flip(1.0, 0, True) == 1.125)
+
+
+# FP8 E5M2
+def test_num_fp8_e5m2():
+    # bitwidth of 8, 1 sign bit, 5 exponent bits, 2 mantissa bits
+    fp8 = num_fp8_e5m2()
+
+    # basic conversion tests
+    assert(fp8.format_to_real(['0', '0', '1', '1', '1', '1', '0', '0']) == 1.0)
+    assert(fp8.real_to_format(1.0)
+           == ['0', '0', '1', '1', '1', '1', '0', '0'])
+
+    assert(fp8.format_to_real(['1', '0', '1', '1', '1', '1', '0', '0']) == -1.0)
+    assert(fp8.real_to_format(-1.0)
+           == ['1', '0', '1', '1', '1', '1', '0', '0'])
+
+    # larger values
+    assert(fp8.format_to_real(['0', '1', '0', '0', '0', '0', '0', '0']) == 2.0)
+    assert(fp8.real_to_format(2.0)
+           == ['0', '1', '0', '0', '0', '0', '0', '0'])
+
+    # smaller values (0.5)
+    assert(fp8.format_to_real(['0', '0', '1', '1', '1', '0', '0', '0']) == 0.5)
+    assert(fp8.real_to_format(0.5)
+           == ['0', '0', '1', '1', '1', '0', '0', '0'])
+
+    # zero
+    assert(fp8.format_to_real(['0', '0', '0', '0', '0', '0', '0', '0']) == 0.0)
+    assert(fp8.real_to_format(0.0)
+           == ['0', '0', '0', '0', '0', '0', '0', '0'])
+    assert(fp8.format_to_real(['1', '0', '0', '0', '0', '0', '0', '0']) == 0.0)
+
+    # infinity
+    assert(fp8.format_to_real(['0', '1', '1', '1', '1', '1', '0', '0'])
+           == float('inf'))
+    assert(fp8.format_to_real(['1', '1', '1', '1', '1', '1', '0', '0'])
+           == float('-inf'))
+
+    # NaN
+    assert(math.isnan(fp8.format_to_real(
+           ['0', '1', '1', '1', '1', '1', '0', '1'])))
+    assert(math.isnan(fp8.format_to_real(
+           ['1', '1', '1', '1', '1', '1', '1', '0'])))
+    assert(math.isnan(fp8.format_to_real(
+           ['0', '1', '1', '1', '1', '1', '1', '1'])))
+
+    # tensor quantization
+    test1 = torch.tensor([[-1.0, 2.0, -0.5, 0.25],
+                          [-1.5, 4.0, 1.0, 0.125],
+                          [0.0, -0.0, -8.0, 16.0],
+                          [-0.25, 0.5, 0.75, -2.0]])
+
+    output1 = fp8.real_to_format_tensor(test1)
+    assert(output1.shape == test1.shape)
+    assert(output1[0][0].item() == -1.0)
+    assert(output1[0][1].item() == 2.0)
+    assert(output1[2][2].item() == -8.0)
+    assert(output1[2][3].item() == 16.0)
+
+    # bit flip tests
+    assert(fp8.single_bit_flip_in_format(1.0, 0) == 1.25)
+    assert(fp8.single_bit_flip_in_format(1.0, 7) == -1.0)
+
+    # convert_numsys_flip
+    assert(fp8.convert_numsys_flip(1.0, 0) == 1.0)
+    assert(fp8.convert_numsys_flip(1.0, 0, True) == 1.25)
+
+
 # Fixed Point
 def test_fixed():
     # bitwidth of 6, 1 sign bit, 2 integer bits, 3 fraction bits