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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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Community Answer
Which of the following statement is NOT correct?a)Hexadecimal number u...
C) The 1s place in a hexadecimal number represents the least significant digit.
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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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