Google

The memory update process using a First-In, First-Out (FIFO) function can be defined mathematically. By treating the update function, $$\mathrm{Update}(\cdot)$$, as a FIFO operation, the new memory state, $$\mathrm{Mem}$$, is calculated by adding the current key-value segment, $$S_{\mathrm{kv}}$$, into the memory and removing the oldest key-value segment from the previous memory state, $$\mathrm{Mem}_{\mathrm{pre}}$$. This is given by the formula: $$\mathrm{Mem} = \mathrm{FIFO}(S_{\mathrm{kv}}, \mathrm{Mem}_{\mathrm{pre}})$$

Formula for FIFO Memory Update

A memory system with a fixed size of 4 elements operates based on the update rule `Mem = FIFO(S_kv, Mem_pre)`. If the memory's initial state is `Mem_pre = ['A', 'B', 'C', 'D']`, what will be the final state of the memory after two sequential updates with new segments `S_kv1 = 'E'` and then `S_kv2 = 'F'`? Explain the state of the memory after each update.

Sequential FIFO Memory Updates

A system updates its memory using the formula $$Mem = \text{FIFO}(S_{kv}, Mem_{pre})$$. Match each component of the formula to its correct description in this process.

A system maintains a fixed-size memory buffer of three items, which is updated by adding the most recent data segment to the end and simultaneously removing the oldest segment from the beginning. Given a previous memory state, `Mem_pre = [A, B, C]`, and a new incoming data segment, `S_kv = D`, what is the new memory state, `Mem`, after the update operation is applied?

Learn Before

Related