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Data Link Layer

GATE CSE 2017 Set 1 · Q45

NAT2 marksMedium

Time

The values of parameters for the Stop-and-Wait ARQ protocol are as given below: Bit rate of the transmission channel = 1 Mbps. Propagation delay from sender to receiver = 0.75 ms. Time to process a frame = 0.25 ms. Number of bytes in the information frame = 1980. Number of bytes in the acknowledge frame = 20. Number of overhead bytes in the information frame = 20. Assume that there are no transmission errors. Then, the transmission efficiency (expressed in percentage) of the Stop-and-Wait ARQ protocol for the above parameters is __________ (correct to 2 decimal places).

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Official answer: 88.34 (±1.5) (±1.5)

Data Link Layer

Given parameters:

  • Channel bandwidth (BB) = 1 Mbps=106 bps1\text{ Mbps} = 10^6\text{ bps}

  • Information frame size (LfL_f) = 1980 bytes=1980×8 bits=15840 bits1980\text{ bytes} = 1980 \times 8\text{ bits} = 15840\text{ bits}

  • Overhead bytes = 20 bytes  ⟹  20\text{ bytes} \implies Useful data size (LdL_d) = 1980−20=1960 bytes=15680 bits1980 - 20 = 1960\text{ bytes} = 15680\text{ bits}

  • Acknowledgment frame size (LackL_{\text{ack}}) = 20 bytes=20×8 bits=160 bits20\text{ bytes} = 20 \times 8\text{ bits} = 160\text{ bits}

  • One-way propagation delay (TpT_p) = 0.75 ms0.75\text{ ms}

  • Processing time (TprocT_{\text{proc}}) = 0.25 ms0.25\text{ ms}

### Step 1: Calculate transmission times

  • Transmission time for information frame (TtT_{t}):

    Tt=15840 bits106 bps=15.84 msT_t = \frac{15840\text{ bits}}{10^6\text{ bps}} = 15.84\text{ ms}
  • Transmission time for ACK frame (TackT_{\text{ack}}):

    Tack=160 bits106 bps=0.16 msT_{\text{ack}} = \frac{160\text{ bits}}{10^6\text{ bps}} = 0.16\text{ ms}

### Step 2: Calculate total cycle time (TtotalT_{\text{total}})

Ttotal=Tt+Tp+Tproc+Tack+TpT_{\text{total}} = T_t + T_p + T_{\text{proc}} + T_{\text{ack}} + T_p
Ttotal=15.84+0.75+0.25+0.16+0.75=17.75 msT_{\text{total}} = 15.84 + 0.75 + 0.25 + 0.16 + 0.75 = 17.75\text{ ms}

### Step 3: Calculate transmission efficiency (η\eta) Using useful data transmission time:

Tuseful=15680 bits106 bps=15.68 msT_{\text{useful}} = \frac{15680\text{ bits}}{10^6\text{ bps}} = 15.68\text{ ms}
η=TusefulTtotal×100=15.6817.75×100≈88.34%\eta = \frac{T_{\text{useful}}}{T_{\text{total}}} \times 100 = \frac{15.68}{17.75} \times 100 \approx 88.34\%

*(Alternatively, if considering useful time as the entire information frame transmission time: η=15.8417.75×100≈89.24%\eta = \frac{15.84}{17.75} \times 100 \approx 89.24\%)*.

Both values lie within the official answer key range of 86.5 to 89.5.

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This Data Link Layer previous year question is Q45 of the GATE CSE 2017 Set 1 paper. Find more GATE CSE PYQs on Data Link Layer in Computer Networks, or browse all GATE CSE PYQs.

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Data Link Layer in GATE CSE

Data Link Layer has 27 GATE CSE PYQs across 17 papers from 2013 to 2026. 12 of them are 2-mark NAT questions like this one, and GATE CSE 2017 Set 1 has 2.

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The values of parameters for the Stop-and-Wait ARQ protocol are as given below: Bit rate of the transmission channel = 1 Mbps. Propagation delay from sender to receiver = 0.75 ms. Time to process a frame = 0.25 ms. Number of bytes in the information frame = 1980. Number of bytes in the acknowledge frame = 20. Number of overhead bytes in the information frame = 20. Assume that there are no transmission errors. Then, the transmission efficiency (expressed in percentage) of the Stop-and-Wait ARQ protocol for the above parameters is … (correct to 2 decimal places).

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