| Gate | Symbol | Boolean Expression | Truth Table (A,B → Output) | |------|--------|--------------------|----------------------------| | AND | • | A · B | 00→0, 01→0, 10→0, 11→1 | | OR | + | A + B | 00→0, 01→1, 10→1, 11→1 | | NOT | ¬ | Ā | 0→1, 1→0 | | NAND | ↑ | ¬(A·B) | 00→1, 01→1, 10→1, 11→0 | | NOR | ↓ | ¬(A+B) | 00→1, 01→0, 10→0, 11→0 | | XOR | ⊕ | A·¬B + ¬A·B | 00→0, 01→1, 10→1, 11→0 |
Verification note: A verified PDF on this topic will show that NAND and NOR are functionally complete—meaning you can build any other gate or any digital circuit using only NAND gates (or only NOR gates). This is a critical verification checkpoint. | Gate | Symbol | Boolean Expression |
In combinational circuits, the output is determined solely by the present input. There is no memory of past inputs. Verification note : A verified PDF on this
Verified PDF: "Computer Architecture: A Quantitative Approach" (Patterson & Hennessy, 6th edition) – verified PDF available in the ACM Digital Library and via Morgan Kaufmann’s institutional access. In combinational circuits, the output is determined solely
A computer is an integrated system that combines hardware components (like processors, memory, and input/output devices) with software (including compilers, operating systems, and applications) to process information. Computers range from small embedded devices to large servers and supercomputers, all of which rely on the fundamental building blocks discussed.