The image contains multiple questions related to ICT. I will answer questions (iii), (iv), (v) and (vi). (iii) Identify the ports A, B, C, and D from the given list. (iv) (a) Convert $546_8$ to decimal. (b) Convert $BF9_{16}$ to binary. (v) Write the Boolean expression for the given logic circuit. (vi) Identify the software related to each description A, B, C and D from the list provided.

1. Problem Description

The image contains multiple questions related to ICT. I will answer questions (iii), (iv), (v) and (vi).

(iii) Identify the ports A, B, C, and D from the given list.

(iv) (a) Convert $546_8$ to decimal. (b) Convert $BF9_{16}$ to binary.

(v) Write the Boolean expression for the given logic circuit.

(vi) Identify the software related to each description A, B, C and D from the list provided.

2. Solution Steps

(iii)

A: VGA

B: USB

C: PS2 port

D: HDMI

(iv) (a) Converting $546_8$ to decimal:

$546_8 = (5 \times 8^2) + (4 \times 8^1) + (6 \times 8^0) = (5 \times 64) + (4 \times 8) + (6 \times 1) = 320 + 32 + 6 = 358_{10}$

(b) Converting $BF9_{16}$ to binary:

First, convert each hexadecimal digit to its 4-bit binary equivalent:

B = 1011

F = 1111

9 = 1001

So, $BF9_{16} = 101111111001_2$

(v) Writing the Boolean expression:

Let's analyze the circuit step by step.

1. The first gate is an AND gate with inputs X and Y. Its output is $X \cdot Y$.

2. The second gate is a NOT gate with input Z. Its output is $\overline{Z}$.

3. The third gate is an AND gate with inputs $\overline{Z}$. Its output is $\overline{Z}$.

4. The last gate is an OR gate with inputs $X \cdot Y$ and $\overline{Z}$. Thus the output F is:

$F = (X \cdot Y) + \overline{Z}$

(vi) Identifying the software:

A: An operating system that has Command Line Interface -> DOS

B: It belongs to the category of Utility software -> Anti-Virus Software

C: A Computer Language translating software -> Compiler

D: An Open-Source Operating System software -> Linux

3. Final Answer

(iii)

A: VGA

B: USB

C: PS2 port

D: HDMI

(iv)

(a) $358_{10}$

(b) $101111111001_2$

(v)

$F = (X \cdot Y) + \overline{Z}$

(vi)

A: DOS

B: Anti-Virus Software

C: Compiler

D: Linux