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Convert 4B from hexadecimal to decimal.
- a)55
- b)61
- c)69
- d)75
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Convert 4B from hexadecimal to decimal.a)55b)61c)69d)75Correct answer ...
4×16 + B = 75.
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Convert 4B from hexadecimal to decimal.a)55b)61c)69d)75Correct answer ...
Converting 4B from hexadecimal to decimal:
Step 1: Write down the hexadecimal number.
4B
Step 2: Assign each digit a weight based on its position. For example, the rightmost digit has a weight of 1, the next digit to the left has a weight of 16, and so on.
4B = 4*16^1 + B*16^0
Step 3: Convert the letters to their corresponding decimal values. In this case, B is equivalent to 11.
4B = 4*16^1 + 11*16^0
Step 4: Simplify the equation by computing the exponential values.
4B = 64 + 11
Step 5: Add the simplified values.
4B = 75
Therefore, the decimal equivalent of 4B in hexadecimal is 75, which is option D.
Step 1: Write down the hexadecimal number.
4B
Step 2: Assign each digit a weight based on its position. For example, the rightmost digit has a weight of 1, the next digit to the left has a weight of 16, and so on.
4B = 4*16^1 + B*16^0
Step 3: Convert the letters to their corresponding decimal values. In this case, B is equivalent to 11.
4B = 4*16^1 + 11*16^0
Step 4: Simplify the equation by computing the exponential values.
4B = 64 + 11
Step 5: Add the simplified values.
4B = 75
Therefore, the decimal equivalent of 4B in hexadecimal is 75, which is option D.
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Convert 4B from hexadecimal to decimal.a)55b)61c)69d)75Correct answer is option 'D'. Can you explain this answer?
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