Octal-to-binary conversion Convert the octal number 76₈ to its binary equivalent.

Introduction / Context:
Converting from octal to binary is performed by replacing each octal digit with its 3-bit binary code and concatenating the results.

Given Data / Assumptions:

• Octal number: 76₈.
• 7 → 111, 6 → 110 in binary.

Concept / Approach:
Write each digit in 3-bit form and place them side by side: 7 (111), 6 (110). This yields the binary string 111110₂.

Step-by-Step Solution:

Verification / Alternative check:
Group 111110 by threes from the right: 111 (7), 110 (6) → 76₈.

Why Other Options Are Wrong:

• 110111₂ / 111100₂ / 100111₂: Do not correspond to 76₈ when regrouped into octal triplets.

Common Pitfalls:
Using four bits per octal digit or reversing digit order.

Final Answer:
111110₂