Equation for real number to binary conversion

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A real number can be converted into binary as given in the attached figure. How can we represent this process using an equation?

The method of converting a real number to binary

combinatorics combinations binary

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asked Jul 31 at 8:28

cuser

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add a comment | 

up vote
0
down vote

favorite

1

A real number can be converted into binary as given in the attached figure. How can we represent this process using an equation?

The method of converting a real number to binary

combinatorics combinations binary

share|cite|improve this question

asked Jul 31 at 8:28

cuser

52

add a comment | 

up vote
0
down vote

favorite

1

up vote
0
down vote

favorite

1

1

A real number can be converted into binary as given in the attached figure. How can we represent this process using an equation?

The method of converting a real number to binary

combinatorics combinations binary

share|cite|improve this question

asked Jul 31 at 8:28

cuser

52

A real number can be converted into binary as given in the attached figure. How can we represent this process using an equation?

The method of converting a real number to binary

combinatorics combinations binary

share|cite|improve this question

asked Jul 31 at 8:28

cuser

52

share|cite|improve this question

share|cite|improve this question

asked Jul 31 at 8:28

cuser

52

asked Jul 31 at 8:28

cuser

52

asked Jul 31 at 8:28

cuser

52

52

add a comment | 

add a comment | 

1 Answer
1

active

oldest

votes

up vote
0
down vote



accepted

Let $xinmathbbR$ and $p>1$ be an integer. Is this what you are asking for (with $p=2$)
$$x=textsign(x),sum_k=-infty^+infty,Big(leftlfloor p^-k, p^k,?$$

share|cite|improve this answer

edited Jul 31 at 11:58

answered Jul 31 at 8:33

Batominovski

22.8k22776

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Since you took $x$'s sign out front, shouldn't the inner $x$ be $|x|$ ?
  – Jaap Scherphuis
  Jul 31 at 11:57
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Yep, I forgot. Thanks.
  – Batominovski
  Jul 31 at 11:58
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Batominovski Thanks.
  – cuser
  Jul 31 at 12:29
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JaapScherphuis Thanks.
  – cuser
  Jul 31 at 12:29
  
  

  
  
  
  

add a comment | 

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1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
0
down vote



accepted

Let $xinmathbbR$ and $p>1$ be an integer. Is this what you are asking for (with $p=2$)
$$x=textsign(x),sum_k=-infty^+infty,Big(leftlfloor p^-k, p^k,?$$

share|cite|improve this answer

edited Jul 31 at 11:58

answered Jul 31 at 8:33

Batominovski

22.8k22776

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Since you took $x$'s sign out front, shouldn't the inner $x$ be $|x|$ ?
  – Jaap Scherphuis
  Jul 31 at 11:57
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Yep, I forgot. Thanks.
  – Batominovski
  Jul 31 at 11:58
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Batominovski Thanks.
  – cuser
  Jul 31 at 12:29
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JaapScherphuis Thanks.
  – cuser
  Jul 31 at 12:29
  
  

  
  
  
  

add a comment | 

up vote
0
down vote



accepted

Let $xinmathbbR$ and $p>1$ be an integer. Is this what you are asking for (with $p=2$)
$$x=textsign(x),sum_k=-infty^+infty,Big(leftlfloor p^-k, p^k,?$$

share|cite|improve this answer

edited Jul 31 at 11:58

answered Jul 31 at 8:33

Batominovski

22.8k22776

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Since you took $x$'s sign out front, shouldn't the inner $x$ be $|x|$ ?
  – Jaap Scherphuis
  Jul 31 at 11:57
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Yep, I forgot. Thanks.
  – Batominovski
  Jul 31 at 11:58
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Batominovski Thanks.
  – cuser
  Jul 31 at 12:29
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JaapScherphuis Thanks.
  – cuser
  Jul 31 at 12:29
  
  

  
  
  
  

add a comment | 

up vote
0
down vote



accepted

up vote
0
down vote



accepted

Let $xinmathbbR$ and $p>1$ be an integer. Is this what you are asking for (with $p=2$)
$$x=textsign(x),sum_k=-infty^+infty,Big(leftlfloor p^-k, p^k,?$$

share|cite|improve this answer

edited Jul 31 at 11:58

answered Jul 31 at 8:33

Batominovski

22.8k22776

Let $xinmathbbR$ and $p>1$ be an integer. Is this what you are asking for (with $p=2$)
$$x=textsign(x),sum_k=-infty^+infty,Big(leftlfloor p^-k, p^k,?$$

share|cite|improve this answer

edited Jul 31 at 11:58

answered Jul 31 at 8:33

Batominovski

22.8k22776

share|cite|improve this answer

share|cite|improve this answer

edited Jul 31 at 11:58

edited Jul 31 at 11:58

edited Jul 31 at 11:58

answered Jul 31 at 8:33

Batominovski

22.8k22776

answered Jul 31 at 8:33

Batominovski

22.8k22776

answered Jul 31 at 8:33

Batominovski

22.8k22776

22.8k22776

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Since you took $x$'s sign out front, shouldn't the inner $x$ be $|x|$ ?
  – Jaap Scherphuis
  Jul 31 at 11:57
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Yep, I forgot. Thanks.
  – Batominovski
  Jul 31 at 11:58
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Batominovski Thanks.
  – cuser
  Jul 31 at 12:29
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JaapScherphuis Thanks.
  – cuser
  Jul 31 at 12:29
  
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Since you took $x$'s sign out front, shouldn't the inner $x$ be $|x|$ ?
  – Jaap Scherphuis
  Jul 31 at 11:57
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  Yep, I forgot. Thanks.
  – Batominovski
  Jul 31 at 11:58
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Batominovski Thanks.
  – cuser
  Jul 31 at 12:29
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JaapScherphuis Thanks.
  – cuser
  Jul 31 at 12:29
  
  

  
  
  
  

Since you took $x$'s sign out front, shouldn't the inner $x$ be $|x|$ ?
– Jaap Scherphuis
Jul 31 at 11:57

Since you took $x$'s sign out front, shouldn't the inner $x$ be $|x|$ ?
– Jaap Scherphuis
Jul 31 at 11:57

Yep, I forgot. Thanks.
– Batominovski
Jul 31 at 11:58

Yep, I forgot. Thanks.
– Batominovski
Jul 31 at 11:58

@Batominovski Thanks.
– cuser
Jul 31 at 12:29

@Batominovski Thanks.
– cuser
Jul 31 at 12:29

@JaapScherphuis Thanks.
– cuser
Jul 31 at 12:29

@JaapScherphuis Thanks.
– cuser
Jul 31 at 12:29

add a comment | 

 

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