- #1
tinhnho
- 21
- 0
edited..thanks for your help
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How to convert from hex to dec ?
- Context: High School
- Thread starter tinhnho
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Discussion Overview
The discussion revolves around the conversion of hexadecimal numbers to decimal format. Participants explore the methodology for performing this conversion, including the mathematical principles involved and examples to clarify the process.
Discussion Character
- Technical explanation
- Homework-related
- Mathematical reasoning
Main Points Raised
- One participant explains the positional values of hexadecimal digits, detailing how to convert each digit based on its place value (1, 16, 256, 4096, etc.).
- Another participant attempts to convert the hexadecimal number 30500000 to decimal but expresses confusion about their result, seeking clarification through examples.
- A later reply provides a detailed breakdown of the conversion process for the same hexadecimal number, arriving at a different decimal result and expressing satisfaction with the outcome.
- One participant acknowledges a mistake in their previous calculation and retracts their last post.
- A participant shares a link to an online tool for double-checking conversion results, suggesting it may be helpful for others in the discussion.
Areas of Agreement / Disagreement
There is no consensus on the correct conversion of the hexadecimal number 30500000 to decimal, as participants present differing results and express confusion about the process.
Contextual Notes
Some participants express uncertainty regarding their calculations and seek further examples for clarity. There are indications of missing assumptions in the conversion process, particularly in the interpretation of hexadecimal values.
- #2
chroot
Staff Emeritus
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First, note that hexadecimal has 16 symbols (0-9, followed by 'A,' equal to decimal 10, through 'F,' equal to decimal 15).
The first digit on the right is the one's place. Take whatever number is in that position, and multiply it by one.
The next digit, second from the right, is the sixteen's place. Take whatever numer is that position, and multiply it by 16.
The next digit, thrid from the right, is the 256's place. (256 = 16^2.) Take whatever number is in that position, and multiply it by 16.
The next digit, fourth from the right, is the 4096's place (4096 = 16^3.) Take whatever number is in that position, and multiply it by 4096.
Add the result of all those multiplications, and you have the number in decimal.
- Warren
The first digit on the right is the one's place. Take whatever number is in that position, and multiply it by one.
The next digit, second from the right, is the sixteen's place. Take whatever numer is that position, and multiply it by 16.
The next digit, thrid from the right, is the 256's place. (256 = 16^2.) Take whatever number is in that position, and multiply it by 16.
The next digit, fourth from the right, is the 4096's place (4096 = 16^3.) Take whatever number is in that position, and multiply it by 4096.
Add the result of all those multiplications, and you have the number in decimal.
- Warren
- #3
tinhnho
- 21
- 0
here what i have for Hex 30500000 => Dec = 1052672
(16^3 + 16^5= 1052672)
my result seem doesn't right !
I confuse, would you give a example by number instead by words? Don't need to be exacted those hex number above, any number would fine with me, i will follow from there and try to undestand. Again thanks for your explanation.
(16^3 + 16^5= 1052672)
my result seem doesn't right !
I confuse, would you give a example by number instead by words? Don't need to be exacted those hex number above, any number would fine with me, i will follow from there and try to undestand. Again thanks for your explanation.
- #4
tinhnho
- 21
- 0
nevermind, i think i got it
here what i did 0x1 + 0x16 +0x(16^2) + 0x(16^3) +0x(16^4) +5x(16^5) +0x(16^6) +3x(16^7) =810549248
the result matchs with the calculator. thanks :)
here what i did 0x1 + 0x16 +0x(16^2) + 0x(16^3) +0x(16^4) +5x(16^5) +0x(16^6) +3x(16^7) =810549248
the result matchs with the calculator. thanks :)
Last edited:
- #5
jcsd
Science Advisor
Gold Member
- 2,113
- 13
tinhnho said:here what i have for Hex 30500000 => Dec = 1052672
(16^3 + 16^5= 1052672)
my result seem doesn't right !
I confuse, would you give a example by number instead by words? Don't need to be exacted those hex number above, any number would fine with me, i will follow from there and try to undestand. Again thanks for your explanation.
The answer should be:
0 + 0*162 + 0*163 + 0*164 + 0*165 + 5*166 + 0*167 + 3*168 = 12968787968
- #6
jcsd
Science Advisor
Gold Member
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Oops I lost a digit disregard my last post.
- #7
davitz38
- 2
- 0
Hi guys,
In case you want to double check your results, use this http://www.stringfunction.com/hex-decimal.html"
Hope this can help
David
In case you want to double check your results, use this http://www.stringfunction.com/hex-decimal.html"
Hope this can help
David
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