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What is the maximum number of characters per second that can be transmitted over a 100 Mbps connection?

Computer Science

ScanSolve AI Answer

Answer

12,500,000\text{12,500,000}

Step-by-step solution

3 steps
  1. Convert the modem speed from Mbps to bits per second (bps).

    The modem speed is given as 100 Mbps.

    1 Mbps=1,000,000 bits per second1 \text{ Mbps} = 1,000,000 \text{ bits per second} Speed=100 Mbps=100×1,000,000 bps=100,000,000 bps\text{Speed} = 100 \text{ Mbps} = 100 \times 1,000,000 \text{ bps} = 100,000,000 \text{ bps}
  2. Determine the number of bits per character.

    Each character consists of 8 bits.

  3. Calculate the maximum number of characters that can be sent per second.

    To find the number of characters per second, divide the total bits per second by the number of bits per character.

    Characters per second=Total bits per secondBits per character\text{Characters per second} = \frac{\text{Total bits per second}}{\text{Bits per character}} Characters per second=100,000,000 bits/second8 bits/character\text{Characters per second} = \frac{100,000,000 \text{ bits/second}}{8 \text{ bits/character}} Characters per second=12,500,000 characters/second\text{Characters per second} = 12,500,000 \text{ characters/second}

    The maximum number of characters that can be sent per second is 12,500,000\boxed{\text{12,500,000}}.

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