Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Which of the following is incorrect?a)(8)16 =... Start Learning for Free
Which of the following is incorrect?
- a)(8)16 = (8)8
- b)(5)16 = (5)8
- c)(8)2 = (2)10
- d)(2)16 = (2)10
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following is incorrect?a)(8)16 = (8)8b)(5)16 = (5)8c)(8)2...
Since, (8)16=(10) 8 so option (a) is incorrect
and (8) 2 will be not possible so (c) also incorrect
and (8) 2 will be not possible so (c) also incorrect
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Which of the following is incorrect?a)(8)16 = (8)8b)(5)16 = (5)8c)(8)2...
Understanding Number Systems
Number systems are crucial in fields like Electrical Engineering, and understanding how to convert between them is essential. The options in the question involve conversions between different bases: binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16).
Analysis of Each Option
- Option A: (8)16 = (8)8
- In hexadecimal (base 16), the digit "8" represents the value 8 in decimal.
- In octal (base 8), the digit "8" does not exist since octal only uses digits 0-7.
- Therefore, this statement is incorrect.
- Option B: (5)16 = (5)8
- In both bases, the digit "5" represents the same decimal value (5).
- Hence, this statement is correct.
- Option C: (8)2 = (2)10
- The binary representation (8)2 suggests "1000" in binary, which equals 8 in decimal.
- The decimal representation (2)10 is simply 2.
- Since 8 is not equal to 2, this statement is incorrect.
- Option D: (2)16 = (2)10
- The digit "2" in hexadecimal is also 2 in decimal.
- Thus, this statement is correct.
Conclusion
The correct answer is indeed option "A", as it presents a representation that does not hold true. While option C is also incorrect, the question asks for the initially incorrect representation, making A the more prominent choice. Understanding these conversions is key in Electrical Engineering, especially in digital systems and circuit design.
Number systems are crucial in fields like Electrical Engineering, and understanding how to convert between them is essential. The options in the question involve conversions between different bases: binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16).
Analysis of Each Option
- Option A: (8)16 = (8)8
- In hexadecimal (base 16), the digit "8" represents the value 8 in decimal.
- In octal (base 8), the digit "8" does not exist since octal only uses digits 0-7.
- Therefore, this statement is incorrect.
- Option B: (5)16 = (5)8
- In both bases, the digit "5" represents the same decimal value (5).
- Hence, this statement is correct.
- Option C: (8)2 = (2)10
- The binary representation (8)2 suggests "1000" in binary, which equals 8 in decimal.
- The decimal representation (2)10 is simply 2.
- Since 8 is not equal to 2, this statement is incorrect.
- Option D: (2)16 = (2)10
- The digit "2" in hexadecimal is also 2 in decimal.
- Thus, this statement is correct.
Conclusion
The correct answer is indeed option "A", as it presents a representation that does not hold true. While option C is also incorrect, the question asks for the initially incorrect representation, making A the more prominent choice. Understanding these conversions is key in Electrical Engineering, especially in digital systems and circuit design.
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