Question: 1(a) Convert the floating point number -25.16 into its binary representation with a 12 bit mantissa and a 4 bit exponent, with the hidden

1(a) Convert the floating point number -25.16 into its binary representation with a 12 bit mantissa and a 4 bit exponent, with the hidden bit in the mantissa and a bias of 7 in the exponent. (b) (i) (ii) (5 marks) Provide the mathematical expression (in infix form) represented by the following postfix string 7 16 52 * 4 3 + / + Trace through the stack-based algorithm step by step in the evaluation of the above postfix string. (c) (d) State a data structure that is suitable for storing (i) (ii) the words in a dictionary to facilitate searching. the set of folders you have in your computer. Explain your choices. (6 marks) (5 marks) A cubic curve P(t) = B31 + Bt + Bt + Bo is defined by the following end conditions: P(0) Po, P(0.5) = Pm, P(1) = P1 and P'(1) = P1', where Po, Pm, P1 and P1' are known values. Derive the equation of the curve in terms of these values. What is the condition for two such curves to be C continuous? (7 marks)

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