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The four-bit Gray code corresponding to the binary code 0011 is
- a)1100
- b)0001
- c)0011
- d)0010
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The four-bit Gray code corresponding to the binary code 0011 isa)1100b...
Explanation:
The Gray code is a binary numeral system where two consecutive values differ in only one bit position. It is often used in digital communication systems and for encoding analog signals. The Gray code is designed in such a way that only one bit changes at a time, which reduces the chance of errors in communication.
To find the Gray code corresponding to a given binary code, we can use the following steps:
Step 1: Write down the given binary code.
The given binary code is 0011.
Step 2: Start with the most significant bit (MSB) and compare it with the next bit.
In this case, the MSB is 0 and the next bit is 0. Since they are the same, the corresponding Gray code bit will also be 0.
Step 3: Move to the next bit and compare it with the previous bit.
In this case, the next bit is 0 and the previous bit is 0. Since they are the same, the corresponding Gray code bit will also be 0.
Step 4: Repeat steps 2 and 3 for the remaining bits.
In this case, the next bit is 1 and the previous bit is 0. Since they are different, the corresponding Gray code bit will be 1.
Step 5: Write down the Gray code corresponding to the binary code.
Based on the comparison in steps 2-4, the Gray code corresponding to the binary code 0011 is 0010.
Therefore, the correct answer is option D: 0010.
The Gray code is a binary numeral system where two consecutive values differ in only one bit position. It is often used in digital communication systems and for encoding analog signals. The Gray code is designed in such a way that only one bit changes at a time, which reduces the chance of errors in communication.
To find the Gray code corresponding to a given binary code, we can use the following steps:
Step 1: Write down the given binary code.
The given binary code is 0011.
Step 2: Start with the most significant bit (MSB) and compare it with the next bit.
In this case, the MSB is 0 and the next bit is 0. Since they are the same, the corresponding Gray code bit will also be 0.
Step 3: Move to the next bit and compare it with the previous bit.
In this case, the next bit is 0 and the previous bit is 0. Since they are the same, the corresponding Gray code bit will also be 0.
Step 4: Repeat steps 2 and 3 for the remaining bits.
In this case, the next bit is 1 and the previous bit is 0. Since they are different, the corresponding Gray code bit will be 1.
Step 5: Write down the Gray code corresponding to the binary code.
Based on the comparison in steps 2-4, the Gray code corresponding to the binary code 0011 is 0010.
Therefore, the correct answer is option D: 0010.
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Community Answer
The four-bit Gray code corresponding to the binary code 0011 isa)1100b...
Concept:
The procedure to convert a gray code to a binary one is as shown:
Given, B3 B2 B1 B0 = 0011
From the above circuit the binary equivalent =
A3 = B3 = 0
A2 = B3 ⊕ B2 = 0 ⊕ 0 = 0
A1 = 0 ⊕ B1 = 0 ⊕ 1 = 1
A0 = 1 ⊕ B0 = 1 ⊕ 1 = 0
So, A3 A2 A1 A0 = 0010
The procedure to convert a gray code to a binary one is as shown:
Given, B3 B2 B1 B0 = 0011
From the above circuit the binary equivalent =
A3 = B3 = 0
A2 = B3 ⊕ B2 = 0 ⊕ 0 = 0
A1 = 0 ⊕ B1 = 0 ⊕ 1 = 1
A0 = 1 ⊕ B0 = 1 ⊕ 1 = 0
So, A3 A2 A1 A0 = 0010
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The four-bit Gray code corresponding to the binary code 0011 isa)1100b)0001c)0011d)0010Correct answer is option 'D'. Can you explain this answer?
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