11011 in Gray Code Equal to Binary

Answer: C. 10010

11011 in Gray code equal to binary will be 10010.

Solution:

Let, G₄G₃G₂G₁G₀ and b₄b₃b₂b₁b₀ be the 5-bit Gray code and the corresponding binary code respectively. By using the following formulae, we can find the binary code.

b₄=G₄

b₃=b₄⊕G₀

b₂=b₃⊕G₂

b₁=b₂⊕G₁

b₀=b₁⊕G₀

Given, G₄G₃G₂G₁G₀ = 11011.

b₄=1

b₃=1⊕1=0

b₂=0⊕0=0

b₁=0⊕1=1

b₀=1⊕1=0

=> b₄b₃b₂b₁b₀=10010

Therefore, 10010 is the corresponding binary code for the given Gray code 11011. Hence, option (C) is the correct answer. 

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