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Which of the following statement is NOT correct?
  • a)
    Hexadecimal number uses sixteen distinct counting digits 0 through 9 and A through F
  • b)
    The 1’s complement of a binary number is obtained by changing its each 0 into a 1
  • c)
    Octal number has a base of 7
  • d)
    Excess-3 Code is an unweighted code
Correct answer is option 'C'. Can you explain this answer?
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Which of the following statement is NOT correct?a)Hexadecimal number u...
Hexadecimal Number System:
  • It has a base of 16. Hence, it uses sixteen distinct counting digits 0 through 9 and A through F
  • Place value (or weight) for each digit is in ascending powers of 16 for integers and descending powers of 16 for fractions.
  • The chief use of this system is in connection with byte-organized machines.
  • It is used for specifying addresses of different binary numbers stored in computer memory.
Complement of a Number: In digital work, two types of complements of a binary number are used for complemental sub-traction:
1’s complement:
  • The 1’s complement of a binary number is obtained by changing each 0 into a 1 and each 1 into a 0.
  • It is also called radix-minus-one complement.
  • For example, 1’s complement of 1002 is 0112, and 0112 is 00012.
2’s complement:
  • The 2’s complement of a binary number is obtained by adding 1 to its 1’s complement.
  • 2’s complement = 1’s complement + 1
  • It is also known as a true complement.
 
Octal Number System:
  • It has a base of 8 which means that it has eight distinct counting digits: 0, 1, 2, 3, 4, 5, 6, and 7
  • These digits 0 through 7, have precisely the same physical meaning as in the decimal system.
  • For counting beyond 7, 2-digit combinations are formed taking the second digit followed by the first, then the second followed by the second, and so on.
  • Hence, after 7, the next octal number is 10 (second digit followed by first), then 11 (second digit followed by second), and so on.
Excess-3 Code:
  • It is an unweighted code and is a modified form of BCD.
  • It is widely used to represent numerical data in digital equipment.
  • It is abbreviated as XS-3. As its name implies, each coded number in XS-3 is three larger than in the BCD code. 
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Which of the following statement is NOT correct?a)Hexadecimal number u...
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Which of the following statement is NOT correct?a)Hexadecimal number uses sixteen distinct counting digits 0 through 9 and A through Fb)The 1’s complement of a binary number is obtained by changing its each 0 into a 1c)Octal number has a base of 7d)Excess-3 Code is an unweighted codeCorrect answer is option 'C'. Can you explain this answer?
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Which of the following statement is NOT correct?a)Hexadecimal number uses sixteen distinct counting digits 0 through 9 and A through Fb)The 1’s complement of a binary number is obtained by changing its each 0 into a 1c)Octal number has a base of 7d)Excess-3 Code is an unweighted codeCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following statement is NOT correct?a)Hexadecimal number uses sixteen distinct counting digits 0 through 9 and A through Fb)The 1’s complement of a binary number is obtained by changing its each 0 into a 1c)Octal number has a base of 7d)Excess-3 Code is an unweighted codeCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement is NOT correct?a)Hexadecimal number uses sixteen distinct counting digits 0 through 9 and A through Fb)The 1’s complement of a binary number is obtained by changing its each 0 into a 1c)Octal number has a base of 7d)Excess-3 Code is an unweighted codeCorrect answer is option 'C'. Can you explain this answer?.
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