Convert the decimal number 1234 to binary, octal, and hexadecimal. Which of…
2024
Convert the decimal number 1234 to binary, octal, and hexadecimal. Which of the following options correctly represents these conversions?
- A.
Binary: 10011010010, Octal: 2322, Hexadecimal: 4D2
- B.
Binary: 11001110010, Octal: 1712, Hexadecimal: 72A
- C.
Binary: 1100110010, Octal: 1642, Hexadecimal: 3CD
- D.
More than one of the above
- E.
None of the above
Attempted by 876 students.
Show answer & explanation
Correct answer: A
To convert the decimal number 1234 to binary, octal, and hexadecimal, follow these steps: 1. Convert Decimal to Binary: Divide 1234 by 2 repeatedly and record the remainders: 1234 ÷ 2 = 617 remainder 0 617 ÷ 2 = 308 remainder 1 308 ÷ 2 = 154 remainder 0 154 ÷ 2 = 77 remainder 0 77 ÷ 2 = 38 remainder 1 38 ÷ 2 = 19 remainder 0 19 ÷ 2 = 9 remainder 1 9 ÷ 2 = 4 remainder 1 4 ÷ 2 = 2 remainder 0 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Now, write the remainders in reverse order: 10011010010. 2. Convert Binary to Octal: Group the binary digits into sets of 3 from the right: 10 011 010 010. Add leading zeros if needed: 010 011 010 010. Convert each group to octal: 2 3 2 2. So, octal is 2322. 3. Convert Binary to Hexadecimal: Group the binary digits into sets of 4 from the right: 1001 1010 010. Add leading zeros if needed: 0100 1101 0010. Convert each group to hexadecimal: 4 D 2. So, hexadecimal is 4D2.