How to convert binary floating point to decimal scientific notation?
up vote
0
down vote
favorite
Let me be clear, by this I don't just mean convert 1.01 * 2 ^ 010 to "5". I'm talking about the exponent as well. This is the true challenge. The mantissa is fairly easy to convert, just find the trailing bit and then pass it through a basic Binary to BCD converter. That would be it for the mantissa, but I don't want that. I want to convert the exponent as well.
People told me to just pass it through a binary to BCD decoder, but this makes no sense, because if we literally translated 1.01 * 2 ^ 010 to 5 * 2 ^ 2, that would be incorrect. 2 ^ 0 is 8, and 5 * 8 is 40. I am talking about real base conversion here. I want to turn 1.01 * 2 ^ 010 into 5 * 10 ^ 0. But how? I am required to do this in order to replicate the Versuchsmodell 1. Please, I need this. Thank you very much.
Sorry the edit is because I messed up the shifts. I meant to type 010, not 011. That would be 10, sorry
computer-science
asked Nov 17 at 16:18
Konrad Zuse
11
|
show 10 more comments
up vote
0
down vote
favorite
Let me be clear, by this I don't just mean convert 1.01 * 2 ^ 010 to "5". I'm talking about the exponent as well. This is the true challenge. The mantissa is fairly easy to convert, just find the trailing bit and then pass it through a basic Binary to BCD converter. That would be it for the mantissa, but I don't want that. I want to convert the exponent as well.
People told me to just pass it through a binary to BCD decoder, but this makes no sense, because if we literally translated 1.01 * 2 ^ 010 to 5 * 2 ^ 2, that would be incorrect. 2 ^ 0 is 8, and 5 * 8 is 40. I am talking about real base conversion here. I want to turn 1.01 * 2 ^ 010 into 5 * 10 ^ 0. But how? I am required to do this in order to replicate the Versuchsmodell 1. Please, I need this. Thank you very much.
Sorry the edit is because I messed up the shifts. I meant to type 010, not 011. That would be 10, sorry
computer-science
asked Nov 17 at 16:18
Konrad Zuse
11
Could you include MathJax formatting? It makes your question more readable.
– AryanSonwatikar
Nov 17 at 16:24
What do you mean by1.01 * 2 ^ 011if not $(1+0times 1/2+1/4)times 2^3?$ Why do you think it s $5?$
– gammatester
Nov 17 at 16:24
gammatester. 1.01 shifted left 3 times. That is what the exponent means, how many times to shift the number. I only place the 2 because it is the base and it is ignored in the actual machine
– Konrad Zuse
Nov 17 at 16:28
@AryanSonwatikar what is mathjax?
– Konrad Zuse
Nov 17 at 16:28
@gammatester actually sorry lmao I messed up with the shifts. That would be 1010, or 10. I meant to type the exponent to be 10
– Konrad Zuse
Nov 17 at 16:30
|
show 10 more comments
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Let me be clear, by this I don't just mean convert 1.01 * 2 ^ 010 to "5". I'm talking about the exponent as well. This is the true challenge. The mantissa is fairly easy to convert, just find the trailing bit and then pass it through a basic Binary to BCD converter. That would be it for the mantissa, but I don't want that. I want to convert the exponent as well.
People told me to just pass it through a binary to BCD decoder, but this makes no sense, because if we literally translated 1.01 * 2 ^ 010 to 5 * 2 ^ 2, that would be incorrect. 2 ^ 0 is 8, and 5 * 8 is 40. I am talking about real base conversion here. I want to turn 1.01 * 2 ^ 010 into 5 * 10 ^ 0. But how? I am required to do this in order to replicate the Versuchsmodell 1. Please, I need this. Thank you very much.
Sorry the edit is because I messed up the shifts. I meant to type 010, not 011. That would be 10, sorry
computer-science
asked Nov 17 at 16:18
Konrad Zuse
11
Let me be clear, by this I don't just mean convert 1.01 * 2 ^ 010 to "5". I'm talking about the exponent as well. This is the true challenge. The mantissa is fairly easy to convert, just find the trailing bit and then pass it through a basic Binary to BCD converter. That would be it for the mantissa, but I don't want that. I want to convert the exponent as well.
People told me to just pass it through a binary to BCD decoder, but this makes no sense, because if we literally translated 1.01 * 2 ^ 010 to 5 * 2 ^ 2, that would be incorrect. 2 ^ 0 is 8, and 5 * 8 is 40. I am talking about real base conversion here. I want to turn 1.01 * 2 ^ 010 into 5 * 10 ^ 0. But how? I am required to do this in order to replicate the Versuchsmodell 1. Please, I need this. Thank you very much.
Sorry the edit is because I messed up the shifts. I meant to type 010, not 011. That would be 10, sorry
computer-science
computer-science
asked Nov 17 at 16:18
Konrad Zuse
11
asked Nov 17 at 16:18
Konrad Zuse
11
edited Nov 17 at 16:32
asked Nov 17 at 16:18
Konrad Zuse
11
asked Nov 17 at 16:18
Konrad Zuse
11
asked Nov 17 at 16:18
Konrad Zuse
11
11
Could you include MathJax formatting? It makes your question more readable.
– AryanSonwatikar
Nov 17 at 16:24
What do you mean by1.01 * 2 ^ 011if not $(1+0times 1/2+1/4)times 2^3?$ Why do you think it s $5?$
– gammatester
Nov 17 at 16:24
gammatester. 1.01 shifted left 3 times. That is what the exponent means, how many times to shift the number. I only place the 2 because it is the base and it is ignored in the actual machine
– Konrad Zuse
Nov 17 at 16:28
@AryanSonwatikar what is mathjax?
– Konrad Zuse
Nov 17 at 16:28
@gammatester actually sorry lmao I messed up with the shifts. That would be 1010, or 10. I meant to type the exponent to be 10
– Konrad Zuse
Nov 17 at 16:30
|
show 10 more comments
Could you include MathJax formatting? It makes your question more readable.
– AryanSonwatikar
Nov 17 at 16:24
What do you mean by1.01 * 2 ^ 011if not $(1+0times 1/2+1/4)times 2^3?$ Why do you think it s $5?$
– gammatester
Nov 17 at 16:24
gammatester. 1.01 shifted left 3 times. That is what the exponent means, how many times to shift the number. I only place the 2 because it is the base and it is ignored in the actual machine
– Konrad Zuse
Nov 17 at 16:28
@AryanSonwatikar what is mathjax?
– Konrad Zuse
Nov 17 at 16:28
@gammatester actually sorry lmao I messed up with the shifts. That would be 1010, or 10. I meant to type the exponent to be 10
– Konrad Zuse
Nov 17 at 16:30
Could you include MathJax formatting? It makes your question more readable.
– AryanSonwatikar
Nov 17 at 16:24
Could you include MathJax formatting? It makes your question more readable.
– AryanSonwatikar
Nov 17 at 16:24
What do you mean by
1.01 * 2 ^ 011 if not $(1+0times 1/2+1/4)times 2^3?$ Why do you think it s $5?$– gammatester
Nov 17 at 16:24
What do you mean by
1.01 * 2 ^ 011 if not $(1+0times 1/2+1/4)times 2^3?$ Why do you think it s $5?$– gammatester
Nov 17 at 16:24
gammatester. 1.01 shifted left 3 times. That is what the exponent means, how many times to shift the number. I only place the 2 because it is the base and it is ignored in the actual machine
– Konrad Zuse
Nov 17 at 16:28
gammatester. 1.01 shifted left 3 times. That is what the exponent means, how many times to shift the number. I only place the 2 because it is the base and it is ignored in the actual machine
– Konrad Zuse
Nov 17 at 16:28
@AryanSonwatikar what is mathjax?
– Konrad Zuse
Nov 17 at 16:28
@AryanSonwatikar what is mathjax?
– Konrad Zuse
Nov 17 at 16:28
@gammatester actually sorry lmao I messed up with the shifts. That would be 1010, or 10. I meant to type the exponent to be 10
– Konrad Zuse
Nov 17 at 16:30
@gammatester actually sorry lmao I messed up with the shifts. That would be 1010, or 10. I meant to type the exponent to be 10
– Konrad Zuse
Nov 17 at 16:30
|
show 10 more comments
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3002531%2fhow-to-convert-binary-floating-point-to-decimal-scientific-notation%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Could you include MathJax formatting? It makes your question more readable.
– AryanSonwatikar
Nov 17 at 16:24
What do you mean by
1.01 * 2 ^ 011if not $(1+0times 1/2+1/4)times 2^3?$ Why do you think it s $5?$– gammatester
Nov 17 at 16:24
gammatester. 1.01 shifted left 3 times. That is what the exponent means, how many times to shift the number. I only place the 2 because it is the base and it is ignored in the actual machine
– Konrad Zuse
Nov 17 at 16:28
@AryanSonwatikar what is mathjax?
– Konrad Zuse
Nov 17 at 16:28
@gammatester actually sorry lmao I messed up with the shifts. That would be 1010, or 10. I meant to type the exponent to be 10
– Konrad Zuse
Nov 17 at 16:30