Hexadecimal representation is particularly advantageous when dealing with memory addresses and colour codes. Memory addresses are often represented in hexadecimal because they are large numbers and hexadecimal provides a compact and easily readable format. For example, a 32-bit memory address is a large number, but it can be represented by a single hexadecimal string (e.g., 0x12345678). This makes it easier for programmers to understand and work with memory locations.

Similarly, colour codes in graphics are often represented using hexadecimal. Colour values are typically represented as RGB (Red, Green, Blue) components, each ranging from 0 to 255. Each component is represented by a two-digit hexadecimal value. For example, a pure red colour is represented as #FF0000. This format is concise and easily understood by both humans and computers. The hexadecimal format allows for a wide range of colour values to be represented efficiently.

In addition to memory addresses and colour codes, hexadecimal is also used in data storage and network protocols where compact representation of binary data is required. This reduces the amount of storage space needed and improves data transmission efficiency.

Working:

A = 00001010 (10 in decimal)

B = 00001101 (13 in decimal)

Addition: 00001010 + 00001101 = 00010111

C = 00010111 (23 in decimal)

Expected Output: C = 00010111

To convert 3A₁₆ to decimal, we multiply each digit by the corresponding power of 16 and sum the results.

3A₁₆ = (3 × 16¹) + (A × 16⁰)

Since A represents 10 in decimal, we have:

3A₁₆ = (3 × 16) + (10 × 1)

3A₁₆ = 48 + 10

3A₁₆ = 58₁₀

Therefore, the decimal equivalent of 3A₁₆ is 58.