ITPEC FE Morning October 2021 Question 1

Hexadecimal to Octal Conversion — convert hex to octal via binary regrouping.

Convert 7B5₁₆ to octal:

• •Step 1: Hex → Binary (each hex digit = 4 bits)
• •7 = 0111, B = 1011, 5 = 0101
• •Result: 011110110101

• •Step 2: Regroup into 3-bit chunks (right to left)
• •011 | 110 | 110 | 101

• •Step 3: Read as octal
• •3 6 6 5 → 3665₈

Why not others:
- (a) 735 — far too small; incorrect conversion method
- (c) 7551 — wrong bit grouping
- (d) 7561 — wrong bit grouping

Key rule: Hex ↔ Octal: always go through binary. Hex digit = 4 bits, Octal digit = 3 bits. Regroup and read.

AI-generated — may contain errors