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6.1910 Computation Structures
   
Architecture of digital systems, builds from NAND gates to CPUs
   
Full Adder

Using basic AND, OR, and XOR gates, we can create the logic for one-bit addtion.

Comparator

Similarly, we can build a comparator. This one is a four-bit greater-than structure.


Arithmetic Logic Unit

Combining an adder, comparator, and a bit shifter, you can create an Arithmetic Logic Unit (ALU). ALU's are a core component of CPU's, as they can perform arbitrary addition, subtraction, and logic operations. This is a 32 bit ALU.


CPU

We can create a simple RISC-V CPU that consists of 5 stages: Instruction Fetch (IF), Instruction Decode (ID), Execute (EX), Memory Access (MEM), and Write Back (WB). The execute stage uses the ALU from above. This basic single-cycle CPU- it does not have pipelining or optimization. Later in the semester, we optimized our CPUs for throughput with pipelining, branch prediction, and other techniques.

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