A processor can support a maximum memory of $$4$$ $$GB,$$ where the memory is word-addressable (a word consists of two bytes). The size of the address bus of the processor is at least ___________ bits.

The size of the data count register of a $$DMA$$ controller is $$16$$ bits. The processor needs to transfer a file of $$29,154$$ kilobytes from disk to main memory. The memory is byte addressable. The minimum number of times the $$DMA$$ controller needs to get the control of the system bus from the processor to transfer the file from the disk to main memory is ___________.

The stage delays in a $$4$$-stage pipeline are $$800, 500, 400$$ and $$300$$ picoseconds. The first stage (with delay $$800$$ picoseconds) is replaced with a functionally equivalent design involving two stages with respective delays $$600$$ and $$350$$ picoseconds. The throughput increase of the pipeline is percent.

Consider the following directed graph:

The number of different topological orderings of the vertices of the graph is ________________.