The data transfer rate for DMA is calculated by the amount of data transferred per unit of time.
Given: CPU clock frequency = 4 MHz = 4×106 cycles/second.
One CPU cycle time = 1/(4×106) seconds = 0.25×10−6 seconds = 0.25 µsec.
DMA uses 1% of processor cycles. So, in 100 cycles, 1 cycle is used by DMA.
Time for 1 DMA cycle = 0.25 µsec.
In this 1 DMA cycle, 8 bytes are transferred.
8 bytes = 8×8=64 bits.
So, 64 bits are transferred in 0.25 µsec.
Data transfer rate = 0.25 \musec64 bits=0.25×10−6 seconds64 bits.
Data transfer rate = 0.2564×106 bits/second=256×106 bits/second=256,000,000 bits/second.
Wait, let's recheck the calculation of 256×106.
Data transfer rate = 0.2564 bits/\musec=256 bits/\musec.
To convert to bits/second: 256 bits/\musec=256×106 bits/second.
The options are given in numbers like 2,56,000. Let's check the units.
256×106 bits/second = 256,000,000 bits/second. This does not match option C (2,56,000).
Let's look at the solution provided. It says "64 bits / 25 µsec" for the rate.
If 1% of processor cycles are used for DMA, it means 1 DMA cycle occurs for every 100 CPU cycles.
So, 8 bytes (64 bits) are transferred every 100 CPU cycles.
Time for 100 CPU cycles = 100×0.25 \musec=25 \musec.
So, 64 bits are transferred in 25 µsec.
Data transfer rate = 25 \musec64 bits=2564×106 bits/second.
2564=2.56.
Data transfer rate = 2.56×106 bits/second=2,560,000 bits/second.
This matches option (C) 2,56,000 (if the comma notation represents million, i.e., 2.56 million).
The given solution in the PDF uses 25 µsec, which is indeed 100 CPU cycles (1% usage).
So, 64 bits in 25 µs means 64/(25×10−6) bits/sec = 2.56×106 bits/sec = 2,560,000 bits/sec.
This matches option (C) if it is interpreted as 2,560,000. Option C in the question is 25,60,000, which is 2.56×106.