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.
computer science
Description
(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?
