Gray code representation of (27)₁₀ is ____
2021
Gray code representation of (27)₁₀ is ____
- A.
11011
- B.
11100
- C.
10110
- D.
11010
Attempted by 93 students.
Show answer & explanation
Correct answer: C
First, convert (27)₁₀ to binary:
(27)₁₀ = 110112
Now we convert binary to Gray code using the rule:
The first Gray bit is the same as the first binary bit.
Each subsequent Gray bit is obtained by XORing adjacent binary bits.
B = 11011
G1 = 1
G2 = 1 ⊕ 1 = 0
G3 = 1 ⊕ 0 = 1
G4 = 0 ⊕ 1 = 1
G5 = 1 ⊕ 1 = 0
So, Binary (11011) converts to Gray (10110), so the answer is correct.