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11
votes
7answers
1k views

Find if there are consecutive 1s in a binary representation of a number

Given a list of numbers in decimal form, what is the most efficient way to determine if there are any consecutive 1s in the binary forms of those numbers? My solution so far: ...
1
vote
1answer
61 views

Construct a binary tree where nodes are labeled according to given rule

I want to plot a binary tree in Mathematica where the nodes are labeled according to a given rule. In fact, whether a node has a left child or a right child or both, will be determined by a rule. And ...
1
vote
1answer
74 views

How to understand and use bit operation for programming

I got the following code using bit operation from here: ...
6
votes
0answers
72 views

Importing a 12 bit array

I have a binary file of 12 bits integers obtained from a camera software. It can produce FITS files from these but the processing time on the large data set I have is excessive. What I have is the ...
1
vote
0answers
44 views

How to recover plaintext from .MX files?

I need a function to deserialize the contents of an MX source file for reading. We can’t simply use Get because I don’t want to load or run the code, but rather to ...
12
votes
0answers
442 views

Why does Mathematica consume so much memory when reading binary data?

There are somewhat similar questions on here, but I didn't find a satisfying answer for this case: I import a 1.7 GB binary data file using the following command: ...
1
vote
1answer
78 views

Why ImportByteArray when generate image from bytes

I was trying to generate an image from a list of bytes so I only had to Import an Image once as I want to store a Base64Encoded ...
3
votes
0answers
41 views

Does NumericArray always maintain data unmodified?

Suppose that we create a NumericArray using a LibraryLink function, then pass this to another one. Is NumericArray guaranteed to maintain the binary data as it was ...
3
votes
1answer
158 views

Read NumericArray from a file

Suppose I have a binary file which consists of a list of integer or real numbers. Let's say signed 8-bit integers; so each byte of the file is a single such integer. How can I read it and turn it into ...
4
votes
1answer
105 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
711 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
182 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
100 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
86 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
371 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
626 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
284 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
148 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
707 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
60 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
206 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
181 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
84 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
177 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
585 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
889 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
330 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
45 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
57 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
116 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
276 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
214 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
172 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 $P$...
8
votes
3answers
376 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
144 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
100 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
388 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
88 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
594 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
401 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
193 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
98 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
372 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
149 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
143 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
41 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
267 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
865 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
97 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 ...

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