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The representation of the value of a 16 - bit unsigned integer X in hexadecimal number system is BC A9. The representation of the value of X in octal number system is
- a)571244
- b)736251
- c)571247
- d)136251
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The representation of the value of a 16 - bit unsigned integer X in he...
Given: ( BCA9)16
1011 1100 1010 1001
....for octal number system...grouping of three- three bits from right to left..
Answer: Option D (1 3 6 2 5 1)8
1011 1100 1010 1001
....for octal number system...grouping of three- three bits from right to left..
Answer: Option D (1 3 6 2 5 1)8
Most Upvoted Answer
The representation of the value of a 16 - bit unsigned integer X in he...
Representation of a 16-bit unsigned integer X in hexadecimal number system is BC A9. We need to find the representation of this value in the octal number system.
To convert a hexadecimal number to an octal number, we can follow these steps:
1. Convert the hexadecimal number to binary.
2. Group the binary digits into groups of three from right to left.
3. Convert each group of three binary digits to its octal equivalent.
4. Combine the octal digits to get the final octal representation.
Let's apply these steps to the given hexadecimal number BC A9:
1. Convert hexadecimal to binary:
BC = 1011 1100
A9 = 1010 1001
2. Group the binary digits into groups of three:
1011 1100 = 101 111 00
1010 1001 = 101 010 01
3. Convert each group of three binary digits to octal:
101 = 5
111 = 7
00 = 0
101 = 5
010 = 2
01 = 1
4. Combine the octal digits:
570251
Therefore, the representation of the value of X in the octal number system is 570251.
Now, let's check the options given:
a) 571244: This is not the correct answer as it does not match the calculated octal representation.
b) 736251: This is not the correct answer as it does not match the calculated octal representation.
c) 571247: This is not the correct answer as it does not match the calculated octal representation.
d) 136251: This is the correct answer as it matches the calculated octal representation.
Hence, the correct answer is option 'D' (136251).
To convert a hexadecimal number to an octal number, we can follow these steps:
1. Convert the hexadecimal number to binary.
2. Group the binary digits into groups of three from right to left.
3. Convert each group of three binary digits to its octal equivalent.
4. Combine the octal digits to get the final octal representation.
Let's apply these steps to the given hexadecimal number BC A9:
1. Convert hexadecimal to binary:
BC = 1011 1100
A9 = 1010 1001
2. Group the binary digits into groups of three:
1011 1100 = 101 111 00
1010 1001 = 101 010 01
3. Convert each group of three binary digits to octal:
101 = 5
111 = 7
00 = 0
101 = 5
010 = 2
01 = 1
4. Combine the octal digits:
570251
Therefore, the representation of the value of X in the octal number system is 570251.
Now, let's check the options given:
a) 571244: This is not the correct answer as it does not match the calculated octal representation.
b) 736251: This is not the correct answer as it does not match the calculated octal representation.
c) 571247: This is not the correct answer as it does not match the calculated octal representation.
d) 136251: This is the correct answer as it matches the calculated octal representation.
Hence, the correct answer is option 'D' (136251).
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The representation of the value of a 16 - bit unsigned integer X in hexadecimal number system is BC A9. The representation of the value of X in octal number system isa)571244b)736251c)571247d)136251Correct answer is option 'D'. Can you explain this answer?
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