DIPLOMA IN COMPUTER STUDIES PROGRESS TEST

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DIPLOM IN COMPUTER STUDIES PROGRESS TEST UNIT CODE: TIME: RM104 2 HOURS 10 MINUTES (including 10 minutes reading time) CENTRE CODE: UNIT CLSS CODE: TEST DTE: STUDENT-ID: STUDENT NME: LECTURER:

1 DIPLOM IN COMPUTER STUDIES PROGRESS TEST UNIT CODE: TIME: RM104 2 HOURS 10 MINUTES (including 10 minutes reading time) CENTRE CODE: UNIT CLSS CODE: TEST DTE: STUDENT-ID: STUDENT NME: LECTURER: INSTRUCTIONS 1. Section is compulsory. 2. Section B choose any 2 questions out of the 3 questions. 3. Please start every question in a new page. 4. nswers will not be marked if it is illegible. 5. Enter the question number (in the order you have attempted) in the boxes provided below: Question Number Score Total DCS/RM104/S03/TEST/T101/QP 1

2 SECTION [40 marks] nswer LL questions in this section. 1. a) Convert the following : i) 2F Hexadecimal to Binary [1] ii) Binary to Octal [1] iii) 23 Denary to Binary [1] b) Evaluate [2] 2. specialist clock-maker constructs a 24-hour clock for computer programmers which displays all it numbers in binary. For example the time 1:05 pm (i.e.13.05) would display as 1101:101. (a) What time is it when the clock reads 1110:10000? [ 1 ] (b) What time is it when the clock reads 10111:111010? [ 1 ] (c) What would the clock read if the time were 10:30 in the morning? [ 2 ] (d) What would the clock read 25 minutes after it read 1101:101111? [ 2 ] 3. 4 bit register is used to add binary integers held in 2's complement. Show the contents when the following calculations are performed: a) [2] b) 6 + (-2) [2] c) (-8) + 3 [2] d) (-5) + (-4) [2] DCS/RM104/S03/TEST/T101/QP 2

3 4. a) State two ways to store exponent. [ 2 ] b) State two ways to store mantissa. [ 2 ] c) 16-bit representation uses the first bit for the sign of the mantissa, the next 5 bits for the exponent in excess form, and the rest for the normalised mantissa. Show how this representation would store the number [5] 5. State which of the following statement is TRUE/FLSE? a) Inherent error exists by itself in the measurement scale. b) Overflow error occurs if the least significant value is dropout when storing a value. c) Induced error is brought in from outside by external factors. d) The difference between the true value and the reported value is known as relative error. e) Error of propagation is the spread of errors as a result of arithmetic operations on values which already have errors. f) The difference between the minimum and maximum possible reported value is known as Error Bound. [6] 6. By drawing a truth table verify that [6] (+B). (+C) = + (B.C) DCS/RM104/S03/TEST/T101/QP 3

4 B1. SECTION B nswer TWO questions ONLY. [60 marks] a) Distinguish between inherent and induced errors, and illustrate each one with an example [ 6 ] b) Explain how to calculate : (i) absolute error [ 4 ] (ii) relative error [ 4 ] c) i) In the Venn Diagram below, shade C B. U B [2] C Given that : = {x : x is a multiple of 3} B = {x : x is a multiple of 5} C = {x : x is a multiple of 7} Where U = {x : 10 x 17 } Draw a Venn Diagram which illustrates this situation. [3] List the elements of the set: ii) B C [2] DCS/RM104/S03/TEST/T101/QP 4

5 iii) ( C) B [2] iv) (B C) [2] d) Queue is currently empty. Show how it would appear after each of the following operations has been performed in the order given: i) push 10 [1] ii) push 7 [1] iii) pop [1] iv) push 2 [1] v) push 8 [1] B2. a) Consider the following circuit diagram B C D Y X State the values of X and Y ( true or false ) when : (i), B, C and D are full false [ 2 ] (ii), B, C and D are all true [ 2 ] (iii) and B are false, C and D are true [ 2 ] b) Consider the following circuit diagram : DCS/RM104/S03/TEST/T101/QP 5

6 B C X (i) Construct an expression in Boolean algebra which describes this circuit. [ 2 ] (ii) Simplify the expression you constructed in part (i) [ 3 ] (iii) Represent your answer to part(ii) as a circuit diagram. [ 3 ] c) Simplify the following expression.b.c +.B.C +.B.C +.B.C +.B.C [6] d) If = 2-1, B = and C = 1-1, perform the following calculations: a) B [2] b) C B [3] c) C [3] d) Pre-multiply by 1 0 [2] 0 1 B3. DCS/RM104/S03/TEST/T101/QP 6

7 a) If 32 people, in all, use (S) preadsheet, (D) atabase and (W) ord-processing packages, 4 use ONLY (S), 2 use ONLY (D), 3 use ONLY (W), 7 use BOTH (S) and (D) but 5 use LL THREE: i) Represent this information in a Venn Diagram; [4] ii) If the same number of people use BOTH (W) and (D) as use BOTH (W) and (S), fill in the remaining numbers in the diagram. [4] iii) How many people, in all, can use BOTH (S) and (W)? [2] iv) What is the probability that any two of the 32, met by chance, would be able to use EITHER (D) or (W) but NOT BOTH? [2] b) The weekly wages of a group of skilled workers are as follows:- Weekly wages,$ Number of workers Find the mean and standard deviation of the data(to 2DP). [12] c) Explain what happens to the mean and SD of a set of numbers if: i) the numbers are all multiplied by 3 [2] ii) the numbers are all added by 4 [2] iii) the numbers are all multiplied by 1 [2] DCS/RM104/S03/TEST/T101/QP 7

DIPLOMA IN COMPUTER STUDIES PROGRESS TEST

DIPLOMA IN COMPUTER STUDIES PROGRESS TEST UNIT CODE: TIME: RM104 2 HOURS 10 MINUTES (including 10 minutes reading time) CENTRE CODE: UNIT CLASS CODE: TEST DATE: STUDENT-ID: STUDENT NAME: LECTURER: INSTRUCTIONS