Autosave: 2024-04-20 15:20:05

zk/Bitwise_operators.md

@@ -23,8 +23,43 @@ operators, e.g. `&` instead of `&&`:
 An example of using the `&` operator:
 
 ```py
-x =5
+x = 5
 y = 3
+a = x & y
+b = x | y
 ```
 
+The value of `a` will be 1. The reason is we are looking at the bit values of
+`x` and `y` and then applying Boolean AND to each bit:
+
+```
+x = 5 = 0101
+y = 3 = 0011
+a = 1 = 0001
+```
+
+Working from right to left for each column:
+
+- true and true = true
+- false and true = false
+- true and false = false
+- false and false = false
+
+This leaves us with 0001 which is equal to 1 in binary and denary.
+
+For the case of bitwise OR we get 7 as the result of `x | y`:
+
+```
+x = 5 = 0101
+y = 3 = 0011
+b = 7 = 0111
+```
+
+- true or true = true
+- false or true = true
+- true or false = true
+- false or false = true
+
+This leaves us with 0111 which is equal to 7 in denary.
+
 ## Related notes