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Find the value of common digit (in decimal system) in 15's and 16's complement of (2E0)H
- a)10
- b)12
- c)13
- d)15
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Find the value of common digit (in decimal system) in 15s and 16s comp...
First find 15's complement, for that subtract all digits by F
FFF
-2E0
---------
D1F
---------
Now to find 16's complement, add 1
D1F
+ 1
---------
D20
----------
So in both above results, 'D' is common whose value in decimal system is 13
Most Upvoted Answer
Find the value of common digit (in decimal system) in 15s and 16s comp...
The Value of Common Digit in 15s and 16s Complement
To find the value of the common digit in the 15s and 16s complement of a given hexadecimal number, we need to convert the number to its 15s and 16s complement representations. Let's consider the given hexadecimal number (2E0)Ha.
Conversion to 15s Complement:
To obtain the 15s complement of a hexadecimal number, we need to subtract each digit from 15 and add 1 to the least significant digit.
To convert (2E0)Ha to its 15s complement, we follow these steps:
1. Subtract each digit from 15: (2E0)Ha -> (D1F)Ha
2. Add 1 to the least significant digit: (D1F)Ha -> (D20)Ha
Conversion to 16s Complement:
To obtain the 16s complement of a hexadecimal number, we need to subtract each digit from 16 and add 1 to the least significant digit.
To convert (2E0)Ha to its 16s complement, we follow these steps:
1. Subtract each digit from 16: (2E0)Ha -> (D20)Ha
2. Add 1 to the least significant digit: (D20)Ha -> (D21)Ha
Finding the Common Digit:
Now, we compare the 15s complement and 16s complement of (2E0)Ha to find the common digit.
Comparing (D20)Ha and (D21)Ha, we can observe that the common digit is the rightmost digit, which is '0' in both representations.
Therefore, the common digit in the 15s and 16s complement of (2E0)Ha is '0'.
Summary:
- The given hexadecimal number is (2E0)Ha.
- The 15s complement of (2E0)Ha is (D20)Ha.
- The 16s complement of (2E0)Ha is (D21)Ha.
- The common digit in the 15s and 16s complement of (2E0)Ha is '0'.
To find the value of the common digit in the 15s and 16s complement of a given hexadecimal number, we need to convert the number to its 15s and 16s complement representations. Let's consider the given hexadecimal number (2E0)Ha.
Conversion to 15s Complement:
To obtain the 15s complement of a hexadecimal number, we need to subtract each digit from 15 and add 1 to the least significant digit.
To convert (2E0)Ha to its 15s complement, we follow these steps:
1. Subtract each digit from 15: (2E0)Ha -> (D1F)Ha
2. Add 1 to the least significant digit: (D1F)Ha -> (D20)Ha
Conversion to 16s Complement:
To obtain the 16s complement of a hexadecimal number, we need to subtract each digit from 16 and add 1 to the least significant digit.
To convert (2E0)Ha to its 16s complement, we follow these steps:
1. Subtract each digit from 16: (2E0)Ha -> (D20)Ha
2. Add 1 to the least significant digit: (D20)Ha -> (D21)Ha
Finding the Common Digit:
Now, we compare the 15s complement and 16s complement of (2E0)Ha to find the common digit.
Comparing (D20)Ha and (D21)Ha, we can observe that the common digit is the rightmost digit, which is '0' in both representations.
Therefore, the common digit in the 15s and 16s complement of (2E0)Ha is '0'.
Summary:
- The given hexadecimal number is (2E0)Ha.
- The 15s complement of (2E0)Ha is (D20)Ha.
- The 16s complement of (2E0)Ha is (D21)Ha.
- The common digit in the 15s and 16s complement of (2E0)Ha is '0'.
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Find the value of common digit (in decimal system) in 15s and 16s complement of (2E0)Ha)10b)12c)13d)15Correct answer is option 'C'. Can you explain this answer?
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