Binary equivalent of the Hexadecimal number (7A4)₁₆ is:
2022
Binary equivalent of the Hexadecimal number (7A4)₁₆ is:
- A.
(11110100100)₂
- B.
(10000101111)₂
- C.
(10010001111)₂
- D.
(10000010100)₂
Attempted by 1421 students.
Show answer & explanation
Correct answer: A
First convert hexadecimal 7A4 to decimal: 7×16^2 + A×16^1 + 4×16^0 = 7×256 + 10×16 + 4 = 1792 + 160 + 4 = 1956 (base 10)
Now convert to binary (two methods):
Method 1 — Division: Divide 1956 by 2 repeatedly and read remainders from bottom to top to get 11110100100.
Method 2 — Direct hex-to-binary mapping: Convert each hex digit to 4 bits: 7 → 0111, A → 1010, 4 → 0100. Concatenate: 011110100100. Remove the leading 0 to write the minimal form: 11110100100.
Answer: (11110100100)₂