Gray encoding of decimal numbers ensures that only one bit changes when the decimal number changes by one unit Let b 1 b 2 b 3 b n represent an ordinary bi nary representation of a decimal number, with b 1 being the most significant bit Let the corresponding Gray code bits be g 1 g 2 g 3 g n Then t...

The binary and Gray encoded numbers are given in the table ...

Gray encoding of decimal numbers ensures that only one bit changes when the decimal number changes by

Question:

Gray encoding of decimal numbers ensures that only one bit changes when the decimal number changes by one unit. Let b₁b₂b₃ ... b_n represent an ordinary bi nary representation of a decimal number, with b₁ being the most significant bit. Let the corresponding Gray code bits be g₁g₂g₃ ... g_n. Then the Gray code representation is obtained by the algorithm

g₁ = b₁

g_n = b_n ⊕ b_n-1

where ⊕ denotes modulo-2 addition (i.e., 0 ⊕ 0 = 0, 0 ⊕ 1 = 1, 1 ⊕ 0 = 1, and 1 ⊕ 1 = 0). Find the Gray code representation for the decimal numbers 0 through 32.

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