(1) (a) Evaluate the
following.

[3 marks]

(b)Convert the answer in
part (a) to binary.

[2
marks]

(2) A computer stores the floating
number in 32 bit where 1 bit for the sign, 8 bits for the exponent having a
biased or (+127) and mantissa has a hidden bit. Show how the floating-point
value of -14.3125 would be represented in that computer.

[6
marks]

(3) Perform the following calculation in
BCD8421. Convert your answer to denary.

3428 - 1089

(Note:
Perform the subtraction by using 10’s complement)

[5 marks]

(4) A
= 5.6 is corrected to 1 decimal place and B
= 2.65 is corrected to 3 significant figures. Calculate the absolute error and
percentage relative error for A2
- 3B.

Note:
Correct your answer to 4 decimal places.

[9 marks]

(5) A group
of five applicants for a pair of identical jobs consists of three men and two
women. The employer is to select two of the five applicants for the jobs. Let S denote the set of all possible
outcomes for the employer’s selection, A
denote the subset of outcomes corresponding to the selection of two men and B denote the subset corresponding to the
selection of at least one woman.

Note: Denote the different men and
women by M1, M2 & M3 and W1
& W2 respectively.

List
the outcomes in

(a) S,
A & B

[4 marks]

(b)

[1 mark]

(c)

[2 marks]

(d)

[1 mark]

(6) A sample space contains 5 elements E1, E2, E3,
E4 and E5.

(a) If

[4 marks]

(b) If

[4 marks]

(7) A bag contains 2 white balls, 3 black balls and 4 red balls.
In how many ways can 3 balls be drawn from the bag, if at least one black ball
is to be included in the draw?

[4 marks]

(8) 20 buses are running between places Kuala Lumpur and
Seremban. In how many ways can a person go from Kuala Lumpur to Seremban and
return by a different bus?

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