At the macro level, a computer integrates all of these layers into a unified architecture. Most modern computers conform to the , which defines four core pillars:
In the mid-19th century, mathematician George Boole developed a system of algebraic logic. Instead of numbers, Boolean algebra deals with truth values: True (1) and False (0). The three core operations are: True only if all inputs are true. OR: True if at least one input is true.
The simplest memory units. A flip-flop can store exactly 1 bit of data (a 0 or a 1). logic gates circuits processors compilers and computers pdf
The mathematical heart of the computer. It executes arithmetic operations like addition and logical operations like AND/OR.
+-------------------------------------------------------+ | PROCESSOR | | | | +------------------------+ +--------------------+ | | | Arithmetic Logic Unit | | Register File | | | | (ALU) | | (R1, R2, PC, etc.) | | | +------------------------+ +--------------------+ | | ^ ^ | | | | | | +-------------------------------------------------+ | | | Control Unit | | | +-------------------------------------------------+ | +-------------------------------------------------------+ Key Components of a CPU At the macro level, a computer integrates all
Computers are used in a wide range of applications, from simple calculations to complex simulations.
These gates are the Lego bricks of computing: The three core operations are: True only if
Flips the input. A 1 becomes a 0 , and a 0 becomes a 1 . AND: Outputs 1 only if all inputs are 1 . OR: Outputs 1 if at least one input is 1 . The Universal Gates NAND (Not-AND): Outputs 0 only if all inputs are 1 . NOR (Not-OR): Outputs 1 only if all inputs are 0 .
Think of a MUX as a digital traffic cop. It takes multiple input signals and uses a control line to select which single input signal passes through to the output.
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