feat: Add other binary topics

apmaros · Sep 2, 2024 · 9cf5023 · 9cf5023
1 parent 88a3933
commit 9cf5023
Showing 1 changed file with 28 additions and 11 deletions.
diff --git a/_web/2024-09-01-data-types.md b/_web/2024-09-01-data-types.md
@@ -7,18 +7,35 @@ categories: types
 
 # Java Types
 
-| Type    | Bit Width | Description                                                       |
-|---------|-----------|-------------------------------------------------------------------|
-| byte    | 8         | An 8-bit signed two's complement integer - -127 - 127 (inclusive) |
-| short   | 16        |                                                                   |
-| int     | 32        |                                                                   |
-| long    | 64        |                                                                   |
-| float   | 32        |                                                                   |
-| double  | 64        |                                                                   |
-| boolean | n/a       |                                                                   |
-| char    | 16        |                                                                   |
+Java numbers have signed two's complements representation. Exception is int and long as they both also support unsigned integers (since Java SE 2).  
+
+| Type    | Bits |
+|:--------|:-----|
+| byte    | 8    |
+| short   | 16   |
+| int     | 32   |
+| long    | 64   |
+| float   | 32   |
+| double  | 64   |
+| boolean | n/a  |
+| char    | 16   |
+
+
+# Binary Number
+
+A binary number is a number expressed in a base-2 notation. Only `1` and `0` symbols are used to encode the number.
+
+# Two's complement Number Representation
+
+Two complement number representation is achieved by applying **NOT** operation (negating) a binary number. Most systems use Two's complement number representation as it allows to unify addition and subtraction. 
+
+# Signed and Unsigned Numbers
+
+Unsigned binary numbers are positive numbers. For example a 8-Bit unsigned number have range of 0 - 2^8-1 (255). Signed binary numbers require arithmetic sign. The most significant bit represent the sign bit. The rest of the numbers represent the value.
 
 
 # References
 
-- [1] Primitive Data Types (Java) - <https://docs.oracle.com/javase%2Ftutorial%2F/java/nutsandbolts/datatypes.html> - 2024-09-01
+- [1] Primitive Data Types (Java) - <https://docs.oracle.com/javase%2Ftutorial%2F/java/nutsandbolts/datatypes.html> - 2024-09-01
+- [2] Binary Number - <https://en.wikipedia.org/wiki/Binary_number> - 2024-09-02
+- [3] Two's Complement - <https://en.wikipedia.org/wiki/Two's_complement> - 2024-09-02