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What is the benefit of using half-cycle-path?

Until now, we focus on the timing of one-cycle-path or full-cycle-path. Sometimes, there may exist half-cycle-path in design. One example will be the launch flop is negedge triggered, while the capture flop is still posedge triggered.

We discussed the clock skew and how it affects STA in previous post. Equivalently, half-cycle-path can be modeled as one-cycle-path with clock skew δ = +T/2. It is obvious that hold time closure is easier while setup time closure is harder for half-cycle-path.

You may wonder what is the benefit of using half-cycle-path in the design.

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How to design a memory controller with in-order read responses?

Interviewers often ask how to design a memory controller in technical interviews. We show one example below.

The memory controller takes incoming requests along with address and request ID as inputs. It is expected to provide read responses along with response ID as outputs. Internally, it can access memory to fetch the read data.

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Why is there no possible performance improvement with cache upsizing?

Usually, with cache upsizing, we expect to see system performance improvement. However, this is not always the case. There could be several reasons:

  1. The “compulsory”, instead of “capacity”, prevents the performance improvement from cache upsizing. This means the temporal locality and spatial locality offered by cache are not utilized. For example, the program keeps to access new data and there is no data reuse, which can happen in streaming applications; if context switch happens often, then cache flush may happen often and more “compulsory” will occur

  2. In cache-coherent system, there may be 2 caches competing for one copy of data, i.e., “coherence” miss. This can happen when 2 CPUs want to gain the lock or semaphore simultaneously. Increasing cache size will not help performance in this case
  3. Assuming the cache upsizing is achieved by cache line upsizing, then the loading time of a cache line will increase. This in turn increases the cache miss penalty and average memory access time
  4. Assuming the cache upsizing is achieved by increasing associativity, then the hit latency as well as average memory access time may increase. This is because physical implementation of high associativity cache can be hard

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How to implement w = 3/2 x + 1/4 y + z?

Obviously, w = 3/2 x + 1/4 y + z = x + (x >> 1) + (y >> 2) + z. But, this is not the end of the story.

All variables here need to be interpreted as fixed point number, with lower 2 digits representing 0.5 and 0.25.

Let’s say x, y and z are within the range between 0 and 3, inclusive. Then w is within the range between 0 and 8.25, inclusive. w’s integer part has 4 bits, and w has 6 bits in total.

‘d8.25 can be represented as ‘b1000.01

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Design a circuit that detects if one input is a delayed version of the other

Assuming 1b input A is generated by a random sequence, 1b input B is a delayed version of A. The delay value varies, and can be [1, 10] (inclusive).

Design a circuit, that takes A and B as inputs, and Y as output. If B is guaranteed to have 1s, then Y should be 1.

Continue reading → Design a circuit that detects if one input is a delayed version of the other