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Official PYQ · 1998

GATE CS 1998 Q1.16 — Concept of Layering: OSI and TCP/IP Protocol Stacks

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In serial communication employing 88 data bits, a parity bit and 22 stop bits, the minimum band rate required to sustain a transfer rate of 300300 characters per second is

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Answer: C

In asynchronous serial communication, each character frame consists of the following bits:

  • Start bit: 11 bit (implicitly required to initiate transmission)
  • Data bits: 88 bits
  • Parity bit: 11 bit
  • Stop bits: 22 bits

Calculating the total number of bits per character:

Total bits per character=1 (start)+8 (data)+1 (parity)+2 (stop)=12 bits\text{Total bits per character} = 1 \text{ (start)} + 8 \text{ (data)} + 1 \text{ (parity)} + 2 \text{ (stop)} = 12 \text{ bits}

To sustain a transfer rate of 300300 characters per second, the minimum required bit rate is:

Required Bit Rate=300 characters/sec×12 bits/character=3600 bps\text{Required Bit Rate} = 300 \text{ characters/sec} \times 12 \text{ bits/character} = 3600 \text{ bps}

Note: Even if we do not consider the start bit, the required rate would be 300×11=3300 bps300 \times 11 = 3300\text{ bps}.

Since serial communication channels operate at standard discrete baud rates (such as 12001200, 24002400, 48004800, 96009600, etc.), we must select the minimum standard baud rate that is greater than or equal to the required transmission rate of 3600 bps3600\text{ bps} (assuming 11 bit per baud):

  • 2400 baud<3600 bps2400\text{ baud} < 3600\text{ bps} (Insufficient)
  • 4800 baud≥3600 bps4800\text{ baud} \ge 3600\text{ bps} (Sufficient and minimum)

Thus, the minimum baud rate required to sustain the transfer is 48004800 baud.

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