Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > The following hexadecimal number (1E.43)16 is...
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The following hexadecimal number (1E.43)16 is equivalent to
- a)(36.506)8
- b)(36.206)8
- c)(35.506)8
- d)5.506)8
Correct answer is option 'B'. Can you explain this answer?
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The following hexadecimal number (1E.43)16 is equivalent toa)(36.506)8...
Conversion of Hexadecimal to Octal
To convert a hexadecimal number to an octal number, we need to follow the following steps:
Step 1: Write down the hexadecimal number
The given hexadecimal number is (1E.43)16
Step 2: Convert the fractional part to decimal
The fractional part is .43
.43 × 16 = 6.88
The integer part is 6.
Step 3: Convert the integer part to binary
1E = 0001 1110
Step 4: Group the binary digits into sets of three
000 111 0
Step 5: Convert each set of three binary digits to octal
0 7 0
Step 6: Combine the octal digits
The final answer is (36.206)8
To convert a hexadecimal number to an octal number, we need to follow the following steps:
Step 1: Write down the hexadecimal number
The given hexadecimal number is (1E.43)16
Step 2: Convert the fractional part to decimal
The fractional part is .43
.43 × 16 = 6.88
The integer part is 6.
Step 3: Convert the integer part to binary
1E = 0001 1110
Step 4: Group the binary digits into sets of three
000 111 0
Step 5: Convert each set of three binary digits to octal
0 7 0
Step 6: Combine the octal digits
The final answer is (36.206)8
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Community Answer
The following hexadecimal number (1E.43)16 is equivalent toa)(36.506)8...
If you want to convert a hexadecimal number into an octal number, the first thing you need to do is convert a hexadecimal number into binary form by writing the binary equivalent of each digit in the form of 4 bits. Once you write the number into binary form, you need to group the binary equivalent in 3 bits, then for each of the three bits, the respective digit is written.
(1E.43)16 = (0001 1110.0100 0011)2
= (00011110.01000011)2
= (011110.010000110)2
= (011 110.010 000 110)2
= (36.206)8
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The following hexadecimal number (1E.43)16 is equivalent toa)(36.506)8b)(36.206)8c)(35.506)8d)5.506)8Correct answer is option 'B'. Can you explain this answer?
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