A 2 km long broadcast LAN has 10⁷ bps bandwidth and uses CSMA/CD. The signal travels along the wire at 2 × 10⁸ m/s. What is the minimum packet size that can be used on this network?

For a pipelined $$CPU$$ with a single $$ALU$$, consider the following situations
$$1.\,\,\,\,\,$$ The $$j+1$$ instruction uses the result of the $$j$$-$$th$$ instruction as an operand
$$2.\,\,\,\,\,$$ The execution of a conditional jump instruction
$$3.\,\,\,\,\,$$ The $$j$$-$$th$$ and $$j+1$$ instruction require the $$ALU$$ at the same time

Which of the above can cause a hazard?

The following is a scheme for floating point number representation using $$16$$ bits.

Let $$s, e,$$ and $$m$$ be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is

$$\left\{ {\matrix{ {{{\left( { - 1} \right)}^s}\left( {1 + m \times {2^{ - 9}}} \right){2^{e - 31}},} & {if\,the\,{\mathop{\rm exponent}\nolimits} \, \ne \,111111} \cr {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0} & {otherwise\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \cr } } \right.$$

What is the maximum difference between two successive real numbers representable in this system?

Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree. The binary search tree uses the usual ordering on natural numbers. What is the in-order traversal sequence of the resultant tree?