Binary Number for Gray Code 1011 is

By BYJU'S Exam Prep

Updated on: September 25th, 2023

A. 1011
B. 1110
C. 1101
D. 0010

Choose the right answer to the question from the options given above and also provide a detailed solution.

Table of content

The binary number for Gray code 1011 is 1101.

Let G₄G₃G₂G₁G₀ be the 4-bit Gray code and b₄b₃b₂b₁b₀ be the corresponding binary code. We can find the binary code by using the following formulae.

b₃=G₃

b₂=b₃G₂

b₁=b₂G₁

b₀=b₁G₀

Given, G₄G₃G₂G₁G₀= 1011.

b₃=1

b₂=1⊕0=1

b₁=1⊕1=0

b₀=0⊕1=1

=> b₄b₃b₂b₁b₀=1101

Therefore, 1101 will be the corresponding binary code for the given Gray code 1011. Hence, Option (C) is the correct answer.