The problem consists of several sub-problems covering various topics in computer science and information technology, including: i. Identification of hardware technology used in second-generation computers and comparison between second and third generation computers. ii. Listing ways ICT helps in education and characteristics of information. iii. Hexadecimal and octal addition and octal to binary conversion. iv. Logic gate circuit analysis to determine the output. v. Matching computer components to their respective ports. vi. Identification of coding systems used by computers. vii. Completing a pseudocode for determining if a number is even or odd.
Discrete MathematicsNumber SystemsBoolean AlgebraComputer Science FundamentalsBinaryOctalHexadecimalLogic Gates
2025/5/6
1. Problem Description
The problem consists of several sub-problems covering various topics in computer science and information technology, including:
i. Identification of hardware technology used in second-generation computers and comparison between second and third generation computers.
ii. Listing ways ICT helps in education and characteristics of information.
iii. Hexadecimal and octal addition and octal to binary conversion.
iv. Logic gate circuit analysis to determine the output.
v. Matching computer components to their respective ports.
vi. Identification of coding systems used by computers.
vii. Completing a pseudocode for determining if a number is even or odd.
2. Solution Steps
i. a. The major hardware technology used in second-generation computers was the transistor.
b. Two differences between second and third-generation computers are:
1. Second-generation computers used transistors, while third-generation computers used integrated circuits (ICs).
2. Second-generation computers were faster and smaller than first-generation computers but slower and larger than third-generation computers.
ii. a. Four ways ICT helps in the field of education are:
1. Access to online learning resources.
2. Enhanced communication between students and teachers.
3. Interactive learning tools and simulations.
4. Improved research capabilities.
b. Four characteristics of information are:
1. Accuracy
2. Timeliness
3. Relevance
4. Completeness
iii. a.
First, convert both numbers to decimal:
Now add the decimal values:
So,
b. Convert to binary.
Convert each octal digit to its 3-bit binary equivalent:
Combine the binary equivalents:
iv. Analyzing the logic gate circuit:
The circuit consists of two NOT gates, two AND gates, and one OR gate.
Let the inputs be X, Y, and Z.
The outputs of the NOT gates are NOT X and NOT Y.
The inputs to the AND gates are (NOT X, Z) and (NOT Y, Z).
The outputs of the AND gates are (NOT X AND Z) and (NOT Y AND Z).
The inputs to the OR gate are (NOT X AND Z) and (NOT Y AND Z).
The final output F is (NOT X AND Z) OR (NOT Y AND Z).
Using Boolean algebra:
If we assume X = 1, Y = 1, Z =
1. Then NOT X = 0, NOT Y = 0
(NOT X AND Z) = (0 AND 1) = 0
(NOT Y AND Z) = (0 AND 1) = 0
F = (0 OR 0) = 0
If we assume X = 0, Y = 0, Z =
0. Then NOT X = 1, NOT Y = 1
(NOT X AND Z) = (1 AND 0) = 0
(NOT Y AND Z) = (1 AND 0) = 0
F = (0 OR 0) = 0
If we assume X = 1, Y = 0, Z =
1. Then NOT X = 0, NOT Y = 1
(NOT X AND Z) = (0 AND 1) = 0
(NOT Y AND Z) = (1 AND 1) = 1
F = (0 OR 1) = 1
If we assume X = 0, Y = 1, Z =
1. Then NOT X = 1, NOT Y = 0
(NOT X AND Z) = (1 AND 1) = 1
(NOT Y AND Z) = (0 AND 1) = 0
F = (1 OR 0) = 1
If Z = 0, then F = 0 regardless of the values of X and Y. If and or then , otherwise if and .
v. Matching column A with B:
1. Keyboard - B (PS/2 Port). Some keyboards might also connect via USB, but PS/2 is most associated with older keyboards.
2. Printer - C (Parallel Port). Parallel port is used for printers.
3. Router - D (Network Port (RJ 45)). Routers connect to the network.
4. Monitor - A (Video Port). Monitors connect via VGA, HDMI, DVI, or DisplayPort, which are all video ports.
vi. The coding systems used by the computer include:
ASCII (American Standard Code for Information Interchange), Unicode, EBCDIC (Extended Binary Coded Decimal Interchange Code).
vii. Completing the pseudocode:
Begin
Input X
IF X mod 2 = 0 Then
Print "X is even number"
Else
Print "X is odd number"
End
3. Final Answer
i. a. Transistor
b.
1. Second-generation computers used transistors, while third-generation computers used integrated circuits (ICs).
2. Second-generation computers were faster and smaller than first-generation computers but slower and larger than third-generation computers.
ii. a.
1. Access to online learning resources.
2. Enhanced communication between students and teachers.
3. Interactive learning tools and simulations.
4. Improved research capabilities.
b.
1. Accuracy
2. Timeliness
3. Relevance
4. Completeness
iii. a.
b.
iv. (or a truth table showing the output for different inputs to X,Y,Z)
v. 1-B, 2-C, 3-D, 4-A
vi. ASCII, Unicode, EBCDIC
vii.
IF X mod 2 = 0 Then
Print "X is even number"
Else
Print "X is odd number"