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The decimal equivalent of the hexadecimal number (A0F9.0EB)16 is
- a)56423.4321
- b)58657.0625
- c)32641.1249
- d)41209.0572
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The decimal equivalent of the hexadecimal number (A0F9.0EB)16 isa)5642...
On multiplying the given hexadecimal number with the positional weightage, we get: (A0F9.0EB)16
= (10 x 163) + (0 x 162) + (15 x 161) + (9 x 160) + (0 x 16-1) + (14 x 16-2)+(11 x 16-3)
= 40960 + 0 + 240 + 9 + 0 + 0.0546 + 0.0026
= (41209.0572)10
= (10 x 163) + (0 x 162) + (15 x 161) + (9 x 160) + (0 x 16-1) + (14 x 16-2)+(11 x 16-3)
= 40960 + 0 + 240 + 9 + 0 + 0.0546 + 0.0026
= (41209.0572)10
Most Upvoted Answer
The decimal equivalent of the hexadecimal number (A0F9.0EB)16 isa)5642...
Hexadecimal to Decimal Conversion: A0F9.0EB
Hexadecimal to Decimal Conversion:
To convert the given hexadecimal number (A0F9.0EB)16 to decimal, we follow these steps:
1. Separate the integer and fractional parts of the hexadecimal number.
2. Convert the integer part to decimal by multiplying each hexadecimal digit by the corresponding power of 16 and adding the results.
3. Convert the fractional part to decimal by multiplying each hexadecimal digit by the corresponding power of 16 and adding the results.
Conversion of Integer Part:
A0F9 = 10 x 16^3 + 0 x 16^2 + 15 x 16^1 + 9 x 16^0
= 40960 + 0 + 240 + 9
= 41209
Conversion of Fractional Part:
0EB = 0 x 16^-1 + 14 x 16^-2 + 11 x 16^-3
= 0 + (14/256) + (11/4096)
= 0.0546875
Decimal Equivalent:
Therefore, the decimal equivalent of the hexadecimal number (A0F9.0EB)16 is:
41209 + 0.0546875
= 41209.0546875
Answer:
Thus, option 'D' (41209.0572) is the correct answer.
Hexadecimal to Decimal Conversion:
To convert the given hexadecimal number (A0F9.0EB)16 to decimal, we follow these steps:
1. Separate the integer and fractional parts of the hexadecimal number.
2. Convert the integer part to decimal by multiplying each hexadecimal digit by the corresponding power of 16 and adding the results.
3. Convert the fractional part to decimal by multiplying each hexadecimal digit by the corresponding power of 16 and adding the results.
Conversion of Integer Part:
A0F9 = 10 x 16^3 + 0 x 16^2 + 15 x 16^1 + 9 x 16^0
= 40960 + 0 + 240 + 9
= 41209
Conversion of Fractional Part:
0EB = 0 x 16^-1 + 14 x 16^-2 + 11 x 16^-3
= 0 + (14/256) + (11/4096)
= 0.0546875
Decimal Equivalent:
Therefore, the decimal equivalent of the hexadecimal number (A0F9.0EB)16 is:
41209 + 0.0546875
= 41209.0546875
Answer:
Thus, option 'D' (41209.0572) is the correct answer.
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The decimal equivalent of the hexadecimal number (A0F9.0EB)16 isa)56423.4321b)58657.0625c)32641.1249d)41209.0572Correct answer is option 'D'. Can you explain this answer?
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