1(a) Convert the floating point number-25.16 ?nto 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 (5 marks) Provide the mathematical expression (in infix form) represented by the the exponent. (b following postfix string 7 16 5 24 3 + (ii) Trace through the stack-based algorithm step by step in the evaluation of the above postfix string. (6 marks) (c) 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 c hoices (5 marks) ??? + B2P + Bri + Bo is defined by the following end conditions: -Pm, P(1) -Pi and P'(1) P1', where Po, Pm, Pi and P1' are (d) A cubic curve P(t) P(0) - Po, P(0.5) 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)