The Three Types of ALU Operations

The Three Types of ALU Operations

1. Arithmetic Operations

Mathematical calculations that produce numerical results:

• Addition (+): 5 + 3 = 8
• Subtraction (−): 10 − 4 = 6
• Multiplication (×): 6 × 7 = 42
• Division (÷): 20 ÷ 4 = 5

Real-world uses: Calculating totals in shopping carts, working out game physics, processing scientific data, rendering 3D graphics

2. Logic Operations

Boolean operations that work with True/False values:

• AND: Both inputs must be TRUE for output to be TRUE (e.g., TRUE AND TRUE = TRUE, TRUE AND FALSE = FALSE)
• OR: At least one input must be TRUE for output to be TRUE (e.g., TRUE OR FALSE = TRUE, FALSE OR FALSE = FALSE)
• NOT: Inverts the input (TRUE becomes FALSE, FALSE becomes TRUE)
• XOR (Exclusive OR): TRUE if inputs are different, FALSE if same

Real-world uses: Checking multiple conditions in IF statements, combining Boolean flags, encrypting data, validating user permissions

3. Comparison Operations

Compare two values and return True or False:

• Equal to (=): Is 5 = 5? TRUE. Is 5 = 3? FALSE
• Not equal to (≠): Is 7 ≠ 3? TRUE
• Greater than (>): Is 10 > 5? TRUE
• Less than (<): Is 3 < 8? TRUE
• Greater than or equal (≥): Is 5 ≥ 5? TRUE
• Less than or equal (≤): Is 4 ≤ 9? TRUE

Real-world uses: Age verification (age >= 18), sorting algorithms, loop conditions (while count < 10), finding minimum/maximum values