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Exercises · Q9

Q.18 Gbps is equal to how many Bits per second?

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Convert 18 Gbps to bits per second using this chapter's own binary convention (1 Gbps=2301 \text{ Gbps} = 2^{30} bps), yielding 18×23018 \times 2^{30} bps = 19,327,352,832 bps.

Understanding Data Rate Units

Data transfer rates measure how much information moves through a network or storage medium per unit time. The fundamental unit is bits per second (bps), and larger rates use metric prefixes.

The prefix "G" stands for Giga. This chapter (Section 11.3.2) explicitly defines the higher data-rate units using powers of 2, not powers of 10.

Important

This chapter's own conversions for data rate are:

  • 1 Kbps = 2102^{10} bps = 1024 bps
  • 1 Mbps = 2202^{20} bps = 1024 Kbps
  • 1 Gbps = 2302^{30} bps = 1024 Mbps
  • 1 Tbps = 2402^{40} bps = 1024 Gbps

The Conversion

To convert 18 Gbps to bits per second using this convention:

Data rate in bps=18×230 bps=18×1,073,741,824 bps\text{Data rate in bps} = 18 \times 2^{30} \text{ bps} = 18 \times 1{,}073{,}741{,}824 \text{ bps}

Writing this out in full:

18 Gbps=19,327,352,832 bps18 \text{ Gbps} = 19{,}327{,}352{,}832 \text{ bps} …

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