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Convert 56 from decimal to hexadecimal.
- a)31
- b)38
- c)3A
- d)3D
Correct answer is option 'B'. Can you explain this answer?
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Convert 56 from decimal to hexadecimal.a)31b)38c)3Ad)3DCorrect answer ...
5610 = 1×25 + 1×24 + 1×23 + 0×22 + 0×21 + 0×20 = 1110002 = 0011 10002 = 38H
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Convert 56 from decimal to hexadecimal.a)31b)38c)3Ad)3DCorrect answer ...
Converting decimal to hexadecimal:
To convert a decimal number to hexadecimal, we have to repeatedly divide the decimal number by 16 and write the remainders in reverse order. We can use the following steps:
Step 1: Divide the decimal number by 16.
Step 2: Write down the remainder (in hexadecimal).
Step 3: Divide the quotient by 16 again.
Step 4: Write down the remainder (in hexadecimal).
Step 5: Repeat steps 3 and 4 until the quotient is zero.
Step 6: Write the remainders in reverse order to get the hexadecimal equivalent of the decimal number.
For example, to convert 56 from decimal to hexadecimal:
Step 1: 56 ÷ 16 = 3 remainder 8
Step 2: The remainder is 8, which is equivalent to the hexadecimal digit 8.
Step 3: 3 ÷ 16 = 0 remainder 3
Step 4: The remainder is 3, which is equivalent to the hexadecimal digit 3.
Step 5: The quotient is zero, so we stop.
Step 6: The remainders in reverse order are 38, so the hexadecimal equivalent of 56 is 38.
Therefore, the correct answer is option B (38).
To convert a decimal number to hexadecimal, we have to repeatedly divide the decimal number by 16 and write the remainders in reverse order. We can use the following steps:
Step 1: Divide the decimal number by 16.
Step 2: Write down the remainder (in hexadecimal).
Step 3: Divide the quotient by 16 again.
Step 4: Write down the remainder (in hexadecimal).
Step 5: Repeat steps 3 and 4 until the quotient is zero.
Step 6: Write the remainders in reverse order to get the hexadecimal equivalent of the decimal number.
For example, to convert 56 from decimal to hexadecimal:
Step 1: 56 ÷ 16 = 3 remainder 8
Step 2: The remainder is 8, which is equivalent to the hexadecimal digit 8.
Step 3: 3 ÷ 16 = 0 remainder 3
Step 4: The remainder is 3, which is equivalent to the hexadecimal digit 3.
Step 5: The quotient is zero, so we stop.
Step 6: The remainders in reverse order are 38, so the hexadecimal equivalent of 56 is 38.
Therefore, the correct answer is option B (38).
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Convert 56 from decimal to hexadecimal.a)31b)38c)3Ad)3DCorrect answer is option 'B'. Can you explain this answer?
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