Convert the decimal number 1234 to binary, octal, and hexadecimal. Which of the following options correctly represents these conversions?

Correct Answer (Detailed Explanation is Below)

A. Binary: 10011010010, Octal: 2322, Hexadecimal: 4D2

Detailed Explanation

Convert 1234₁₀ (decimal) to other bases.

1. Binary

Break 1234 using powers of 2:

1234 = 1024 + 128 + 64 + 16 + 2

So the binary representation is:

10011010010₂

2. Octal

Divide by 8 repeatedly:

• 1234 ÷ 8 = 154 remainder 2

• 154 ÷ 8 = 19 remainder 2

• 19 ÷ 8 = 2 remainder 3

• 2 ÷ 8 = 0 remainder 2

Read remainders bottom to top:

2322₈

3. Hexadecimal

Divide by 16:

• 1234 ÷ 16 = 77 remainder 2

• 77 ÷ 16 = 4 remainder 13 (D)

• 4 ÷ 16 = 0 remainder 4

Read bottom to top:

4D2₁₆

✅ Correct Answer: (A)
Binary: 10011010010, Octal: 2322, Hexadecimal: 4D2.