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Questions tagged [binary]

The tag has no usage guidance.

3
votes
1answer
85 views

Something is wrong with the implementation of the ThueMorse function

While trying to answer this Math.SE question, I believe I found several bugs in Mathematica and Alpha relating to the Thue-Morse sequence. As a quick reminder, the $n^{\rm th}$ element of the Thue-...
7
votes
4answers
659 views

BitNot does not flip bits in the way I expected

Can anyone explain why the last result in these statements is not the bit-flipped version of arr? ...
3
votes
0answers
117 views

How to import a binary data generated by Fortran? [closed]

I have a unformatted binary data file generated by gfortran. However, when the binary data is imported by Mathematica, a correct result is not obtained. This is my fortran code: ...
2
votes
2answers
91 views

Listing all monotone increasing binary digits

For $n=5$, I have $32$ binary digits and for this there are $2^{32}$ combinations. Out of this many, the interesting ones (i.e., the ones that have monotone increasing binary digits) are only about "$...
1
vote
2answers
65 views

Number of contiguous ones of an element in a 2d binary array

I have a 2d binary array of 0s and 1s. I select an element and would like to know how many 1s are in the contiguous cluster that includes the selected point. If the selected element is 0, the answer ...
0
votes
1answer
203 views

Using the binary search algorithm in a sorted grid

I want to get a mathematica code for binary search algorithm applied to a sorted grid containing integers. For example, given f[k_,x_]= x^2 + k x + k - 2 where <...
4
votes
1answer
332 views

How to read this dataset with .dat and .r64 files?

I stumbled upon the European Data Incubator project, and wanted to play around with some of their data. I'm trying to open this dataset, which contains a bunch of ...
2
votes
0answers
210 views

Converting hex string to ByteArray

With blockchain support, it should finally become straightforward to convert string hashes to ByteArray, but I still can't figure out the canonical Wolfram way of ...
2
votes
1answer
127 views

Generate a prime number in a range with fixed $n$ most significant bits

I'm new to Mathematica so my question might be trivial. How do I generate a $200-bit$ prime with the condition that the 10 most significant bits in its binary representation are equal to some binary ...
4
votes
4answers
697 views

How to total the amount of zeros in a binary matrix

I have a 150 by 300 binary matrix. I would like to find the total amount of zeros in the matrix. I've been consulting online documentation for support, but am unable to use the "count" function ...
1
vote
0answers
53 views

Efficiently transform sequentially generated integer matrices into boolean matrices

Assume you have a list of 5 numbers, eg L = {14, 7, 11, 14, 0};. Now, what you want to do with this list, is to transform each entry into eg a binary list, using <...
6
votes
1answer
161 views

Is it possible to convert the output of the Encrypt[] function into binary digits?

I use the following code to generate a key and then use it to encrypt a simple string message. The output of the function Encrypt is an encrypted object. But I would rather convert this into binary ...
1
vote
0answers
144 views

The binary of negative integer number

I have a question about the binary of negative integer number in Mathematica. In most implementations, negative signed integers are stored in what is called two's complement. The other major way of ...
2
votes
1answer
65 views

Convert Negative Integers into Signed Binary?

I'm relatively new to Mathematica and have been struggling with this problem for several days. I have a string of integer data, ranging from -2044 to 2044. So this looks something like {-2044,-2040,-...
3
votes
1answer
118 views

Convert characters to binary?

I can get a binary representation of characters as follows: BaseForm[ToCharacterCode["A"], 2] However, that produces a weird binary code object that might be ...
9
votes
8answers
578 views

How to find the sum for each individual row in a binary matrix until the first zero is reached from left to right.

I have a 150 by 300 binary matrix. I would like to sum the 1's for each individual row (from left to right) until the first zero is encountered. For example, if a given row is 1 1 1 1 1 1 0 0 0 1 0 0 ...
10
votes
5answers
883 views

Substitute some 1s with 0s in random list

How is it better to substitute list of random combination of 1 and 0 (binary image) so that only first (or central) instance of 1 left in each group. ...
5
votes
2answers
295 views

Printing binary numbers with extra zeros

I have the numbers $0-64$ in binary and want them all to be displayed with 8 figures. Expected output: $5_{10} = 101_2$ should become 00000101.
1
vote
0answers
35 views

Binary Image Size after import

I have a lot of binary images I would like to import into mathematica. Each of them is 132kB (1024x1024) big. Like the following: As soon as I import it into Mathematica however and call ByteCount[...
1
vote
0answers
49 views

Export 1bit Image

I have a binary image like the following one: How can I export it as an 1bit image instead of an 8bit one? If I export it in tiff it automatically becomes an 8bit one. Best, Max
0
votes
5answers
107 views

How to find all binary numbers with the kth =0 and smaller than 2^n?

I have been stuck in this problem for a long time. I need to find a general code to collect all binary numbers which are at most n digits (<2^(n-1)) with the ...
5
votes
1answer
175 views

Decoding GZIP encoded Body, BodyBytes (ByteArray) and BodyBytesArray from URLRead

When calling the Stack Exchange API v2.2 using the new (Mma11) function URLRead we get a GZIP encoded Body in alternative formats: ...
10
votes
1answer
182 views

Performance-driven approach to using Big Data without killing the hard-drive

Situation A calculation has to be done in which the amount of data is too much to fit into memory. Fortunately, only a part of the overall data set has to be known at a time. The preprocessing is ...
1
vote
1answer
105 views

Generate a list of randomly distributed $1$s and $0$s with fixed proportion of $1$s [duplicate]

I need to simulate a random initial state of an 1D cellular automaton, but with different 'densities' of filled cells. Let's say the size of the list is $N$, then I need to be able to fix a number $P$...
7
votes
3answers
296 views

Reading a file as a ByteArray?

I want to read in large files as byte strings. Import[..., "Byte"] yields a list of Integers that takes up much more space (16 times more) than the file. ...
1
vote
0answers
100 views

How can I import Real16 binary data? BinaryReadList doesn't work [closed]

How can I import Real16 binary data? BinaryReadList doesn't work: ...
-1
votes
1answer
92 views

Turn binary number into string of words [closed]

I don't actually have any code for this, as I have no real idea how to do it. I have a large binary number combination that I know turns into some sort of string. How would I go about translating it?
1
vote
1answer
333 views

How to visualize .data files? [closed]

I am working with simulation models trying to carrying out some predictions in ocean waves and this stuff. (MITgcm) I am able to run the program and generate hundreds of .data and .meta files, but i ...
1
vote
2answers
86 views

How to replace the selected value in matrix with a specific digit?

I want to replace the selected values through "RandomChoice" by 1 and all other values in matrix with 0. I want output in binary form matirx. ...
6
votes
1answer
455 views

How do I directly read the Nth byte from a binary file?

I have a very large binary file (several hundred GB) which I would like to process using Mathematica. I only need to process a few bytes of this file at a time, and I know in advance which bytes I ...
7
votes
2answers
394 views

Infinite base two number to base ten

Suppose I have a base two number that repeats itself every five places (a number $x$ such that $0\le x<1$. For example: $$x=0.101011010110101101011010110101101011010110101...$$ What would be a ...
3
votes
1answer
172 views

Binary decision diagrams (BDD) syntax error

I am new here (and to Mathematica) and would like to rebuild a simple binary decision diagram that I found here https://en.wikipedia.org/wiki/Binary_decision_diagram A code has been provided as part ...
2
votes
1answer
85 views

Interpret hexadecimal sequence as a binary matrix that can be used in AdjacencyGraph

I have a database of hex sequences stored as blob. Each of them is a binary matrix representing the adjacency matrix of a directed graph. I want to use the ...
7
votes
1answer
334 views

HMAC implementation in pure Mathematica

I am trying to implement the HMAC algorithm in Mathematica. The algorithm is a relatively simple way of signing messages with a key. Here is some pseudocode from Wikipedia: My attempt: ...
4
votes
1answer
139 views

Importing binary structured C++ data file

I am trying to import a binary data file. It seems that BinaryReadList would be appropriate? However the data file is composed of c++ structures like this: ...
3
votes
1answer
135 views

updating matrix elements based on a condition

I am (still) fairly new to Mathematica and trying to perform some operation on the matrix elements, say for the matrix ...
0
votes
1answer
38 views

How can I apply a matrix 2*2 to binary digits? [closed]

I want to apply a matrix 2*2 to a binary digits. For example, D and E are two matrices that they apply to a 1 and 0. D --> 1 & E --> 0 binary digits: (1011) --> D.E.D.D
7
votes
2answers
1k views

How to do binary calculation?

For example, $a=0.10101$ in binary representation. Then how to calculate $a^2$ directly in mathematica? Is there any function turning binary into decimal? I only found its inverse...
2
votes
1answer
213 views

BinaryWrite negative numbers [closed]

testList = {1, 2, 3, 4}; file = "test1"; BinaryWrite[file, testList]; BinaryReadList[file] Close[file]; Gives {1, 2, 3, 4} ...
21
votes
1answer
751 views

Faster binary Hamming weight for big integers?

While working on an answer to Count the sequences in an array I found that DigitCount was the bottleneck in my code when used as ...
2
votes
1answer
89 views

Recurrence relation for multivariate polynomials

I am trying to define a function which recursively computes a polynomial associated to every binary string: ComputePoly[s_]:=(** Recurse on the string s**) For ...
0
votes
2answers
99 views

Troubleshooting Program Meant to Swap Elements

I wrote a program that is supposed to take a list (of arbitrary length) of pairs of the digits of binary numbers (e.g. ...
3
votes
1answer
700 views

Binary file gymnastics

I have an unformatted binary file generated by fortran 77 and i want to import it in Mathematica. The file is formed by 5 data arrays with double precission float numbers. The problem is that seems ...
5
votes
0answers
70 views

How to force the writing of buffers onto disk?

Usually, buffering is good; except when you critically need to write data to disk. Is there a way to force the writing of buffers onto disk? (I'm using a binary file) I believe a ...
2
votes
2answers
381 views

Generating b/w bitmaps from a binary sequence

I would like to make a bitmap that visually represents a binary sequence, something like this: Where for example the 1's become a black pixel and the 0's a white one. I have never done something ...
0
votes
1answer
164 views

Built in function to convert list of numbers into list of binary numbers [closed]

Does Mathematica have a build in way to convert a list of numbers into a list of binary numbers? If not how can this be accomplished?
5
votes
5answers
2k views

All binary sequences with length n

I don't know if there is a built-in function for this, but I'm thinking about something like this Outer[List, Table[{0,1},{n}] ] But ...
3
votes
4answers
624 views

Simplify binary expressions

Is it possible for Mathematica to do simplifications for expressions where the variables are binary, such as: a + b = 1 + 2*c => a + b = 1 Here c must be 0 because if it is 1, the RHS is 3 but the ...
4
votes
1answer
627 views

Importing FITS file from HEALPix

I am trying to read FITS file created by HEALPix software. The file contains a spherical map of a scalar field. There is the online support on how to use the file in IDL, but not for Mathematica. I ...
22
votes
2answers
273 views

BitShiftRight produces incorrect results in Version 10

Bug introduced in 10.0.0 and fixed in 10.0.2 With Mathematica 10 for Mac, BitShiftRight works properly on lists of up to 100000 numbers, but appears to give ...