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What is the difference between the largest four digit number and the smallest four digit number, both written in hexadecimal system?
- a)FFFF
- b)EFFF
- c)EEEE
- d)EFEF
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What is the difference between the largest four digit number and the s...
For hexa, we have 0-9 & A-F,
hence largest 4 digit number is FFFF, smallest 4 digit is 1000, when we substract,
FFFF - 1000 = EFFF
So, I think, the question has a bug and the answer should be b) EFFF
hence largest 4 digit number is FFFF, smallest 4 digit is 1000, when we substract,
FFFF - 1000 = EFFF
So, I think, the question has a bug and the answer should be b) EFFF
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What is the difference between the largest four digit number and the s...
Difference between the largest and smallest four-digit numbers in hexadecimal system
In the hexadecimal system, the base is 16, and the digits range from 0 to F (representing the decimal values from 0 to 15). To find the difference between the largest and smallest four-digit numbers in hexadecimal, we need to consider the maximum and minimum values for each digit.
Maximum and minimum values for each digit:
- The largest digit in hexadecimal is F, which represents the decimal value 15.
- The smallest digit in hexadecimal is 0, which represents the decimal value 0.
Calculating the largest four-digit number:
To find the largest four-digit number in hexadecimal, we need to consider the maximum value for each digit:
- The leftmost digit can take any value from 1 to F, representing the decimal values 1 to 15.
- The other three digits can take any value from 0 to F, representing the decimal values 0 to 15.
Therefore, the largest four-digit number in hexadecimal is FFFF, which represents the decimal value 65535.
Calculating the smallest four-digit number:
To find the smallest four-digit number in hexadecimal, we need to consider the minimum value for each digit:
- All four digits can take the minimum value of 0, representing the decimal value 0.
Therefore, the smallest four-digit number in hexadecimal is 0000, which represents the decimal value 0.
Calculating the difference:
To calculate the difference between the largest and smallest four-digit numbers, we subtract the decimal values represented by the hexadecimal numbers:
65535 - 0 = 65535
Therefore, the difference between the largest and smallest four-digit numbers in hexadecimal is 65535.
Therefore, the correct answer is option 'A'. The difference between the largest and smallest four-digit numbers in the hexadecimal system is FFFF.
In the hexadecimal system, the base is 16, and the digits range from 0 to F (representing the decimal values from 0 to 15). To find the difference between the largest and smallest four-digit numbers in hexadecimal, we need to consider the maximum and minimum values for each digit.
Maximum and minimum values for each digit:
- The largest digit in hexadecimal is F, which represents the decimal value 15.
- The smallest digit in hexadecimal is 0, which represents the decimal value 0.
Calculating the largest four-digit number:
To find the largest four-digit number in hexadecimal, we need to consider the maximum value for each digit:
- The leftmost digit can take any value from 1 to F, representing the decimal values 1 to 15.
- The other three digits can take any value from 0 to F, representing the decimal values 0 to 15.
Therefore, the largest four-digit number in hexadecimal is FFFF, which represents the decimal value 65535.
Calculating the smallest four-digit number:
To find the smallest four-digit number in hexadecimal, we need to consider the minimum value for each digit:
- All four digits can take the minimum value of 0, representing the decimal value 0.
Therefore, the smallest four-digit number in hexadecimal is 0000, which represents the decimal value 0.
Calculating the difference:
To calculate the difference between the largest and smallest four-digit numbers, we subtract the decimal values represented by the hexadecimal numbers:
65535 - 0 = 65535
Therefore, the difference between the largest and smallest four-digit numbers in hexadecimal is 65535.
Therefore, the correct answer is option 'A'. The difference between the largest and smallest four-digit numbers in the hexadecimal system is FFFF.
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What is the difference between the largest four digit number and the smallest four digit number, both written in hexadecimal system?a)FFFFb)EFFFc)EEEEd)EFEFCorrect answer is option 'A'. Can you explain this answer?
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