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--- tanszek:oktatas:techcomm:floating-point_representation [2024/10/06 17:27] – created knehez
+++ tanszek:oktatas:techcomm:floating-point_representation [2024/10/06 17:35] (current) – [The IEEE 754 Standard] knehez
@@ Line 13: / Line 13: @@
 The formula:
-$$ \text{Value} = (-1)^S \times 1.M \times 2^{(E - \text{Bias})} $$
+$$ \text{value} = (-1)^S \times 1.M \times 2^{(E - \text{Bias})} $$
 where **Bias** is 127 for single-precision (32-bit).
@@ Line 36: / Line 36: @@
   * **Step 4**: Combine them
 $$ 0 | 10000010 | 01001000000000000000000 $$
+==== Special Values in Floating-Point Representation ====
+In the IEEE 754 floating-point standard, certain special values are reserved for //edge cases// such as **zero**, **infinity**, and **undefined operations**. These values help systems represent situations that can’t be expressed as regular floating-point numbers.
+=== Special Values Overview ===
+  * **Zero**: Represents positive or negative zero
+  * **Infinity**: Represents positive or negative infinity, resulting from overflow or division by zero.
+  * **NaN (Not a Number)**: Represents undefined results, such as **0/0** or **sqrt(-1)**
+^ Value ^ Sign Bit (S) ^ Exponent (E) ^ Mantissa (M) ^ Description ^
+| +Zero | 0 | 00000000 | 00000000000000000000000 | Represents positive zero |
+| -Zero | 1 | 00000000 | 00000000000000000000000 | Represents negative zero |
+| +Infinity| 0 | 11111111 | 00000000000000000000000 | Represents positive infinity |
+| -Infinity| 1 | 11111111 | 00000000000000000000000 | Represents negative infinity |
+| NaN | 0 or 1 | 11111111 | Non-zero value | Represents "Not a Number", used for undefined operations |
+Try them out here: https://www.h-schmidt.net/FloatConverter/IEEE754.html