Which of the following is the base-4 representation of the decimal number 213?
2018
Which of the following is the base-4 representation of the decimal number 213?
- A.
(1111)4
- B.
(3113)4
- C.
(3133)4
- D.
(3111)4
Attempted by 212 students.
Show answer & explanation
Correct answer: D
To convert decimal 213 to base-4, divide by 4 repeatedly. 213 ÷ 4 = 53 remainder 1. 53 ÷ 4 = 13 remainder 1. 13 ÷ 4 = 3 remainder 1. 3 ÷ 4 = 0 remainder 3. Reading remainders bottom-up gives (3111)₄.