Decoder Based ROM Implementation
Read-only memory (ROM) forms the foundational lookup tables for microcode, bootloaders, and constant storage in digital systems. At the gate level, a ROM is simply an address decoder driving a programmable logic matrix.
Implement an 8-word by 5-bit ROM that stores the first eight prime numbers. The 3-bit input addr acts as the index. The 5-bit output data provides the corresponding hardwired prime number.
| addr | data (Decimal) | data (Binary) | |--------|------------------|-----------------| | 0 | 2 | 00010 | | 1 | 3 | 00011 | | 2 | 5 | 00101 | | 3 | 7 | 00111 | | 4 | 11 | 01011 | | 5 | 13 | 01101 | | 6 | 17 | 10001 | | 7 | 19 | 10011 |
Constraints
- Construct the 3-to-8 address decoder from basic logic gates.
- Implement the memory array using only OR gates.
- Combinational logic only.
Topics
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