Host A (on TCP/IPv4 network A) sends an IP datagram D to host B (also on TCP/IPv4 network B). Assume that no error occurred during the transmission of D. When D reaches B, which of the following IP header field(s) may be different from that of the original datagram D?

(i) TTL
(ii) Checksum
(iii) Fragment Offset

Every host in an IPv4 network has a 1-second resolution real-time clock with battery backup. Each host needs to generate up to 1000 unique identifiers per second. Assume that each host has a globally unique IPv4 address. Design a 50-bit globally unique ID for this purpose. After what period (in seconds) will the identifiers generated by a host wrap around?

The memory access time is $$1$$ nanosecond for a read operation with a hit in cache, $$5$$ nanoseconds for a read operation with a miss in cache, $$2$$ nanoseconds for a write operation with a hit in cache and $$10$$ nanoseconds for a write operation with a miss in cache. Execution of a sequence of instructions involves $$100$$ instruction fetch operations, $$60$$ memory operand read operations and $$40$$ memory operand write operations. The cache hit-ratio is $$0.9.$$ The average memory access time (in nanoseconds) in executing the sequence of instructions is___________________.

An instruction pipeline has five stages, namely, instruction fetch $$(IF),$$ instruction decode and register fetch $$(ID/RF)$$ instruction execution $$(EX),$$ memory access $$(MEM),$$ and register writeback $$(WB)$$ with stage latencies $$1$$ ns, $$2.2$$ $$ns,$$ $$2$$ $$ns,$$ $$1$$ $$ns,$$ and $$0.75$$ $$ns,$$ respectively ($$ns$$ stands for nanoseconds). To gain in terms of frequency, the designers have decided to split the $$ID/RF$$ stage into three stages $$(ID, RF1, RF2)$$ each of latency $$2.2/3$$ $$ns,$$ Also, the $$EX$$ stage is split into two stages $$(EX1, EX2)$$ each of latency $$1$$ ns. The new design has a total of eight pipeline stages. A program has $$20$$% branch instructions which execute in the $$EX$$ stage and produce the next instruction pointer at the end of the $$EX$$ stage in the old design and at the end of the $$EX2$$ stage in the new design. The IF stage stalls after fetching a branch instruction until the next instruction pointer is computed. All instructions other than the branch instruction have an average $$CPI$$ of one in both the designs. The execution times of this program on the old and the new design are $$P$$ and $$Q$$ nanoseconds, respectively. The value of $$P/Q$$ is _____________.