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Data are transmitted over a particular Ethernet network in blocks of $1500$ octets (blocks of $8$ bits). How many blocks are required to transmit the following amounts of data over this Ethernet network? (Note that a byte is a synonym for an octet, a kilobyte is $1000$ bytes, and a megabyte is $1,000,000$ bytes.)

  1. $150$ $\text{kilobytes}$ of data
  2. $384$ $\text{kilobytes}$ of data
  3. $1.544$ $\text{megabytes}$ of data
  4. $45.3$ $\text{megabytes of}$ data

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Pooja Khatri asked Apr 11, 2019
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Suppose that $f$ is a function from $A$ to $B$, where $A$ and $B$ are finite sets with $|A|=|B|$. Show that $f$ is one-to-one if and only if it is onto.