Questions tagged [binary]

Binary is the base 2 number system. Use this tag for challenges involving base 2.

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45
votes
26answers
5k views

prOGraMMIng PuZZleS & cOde ____

Input A non-empty encoded string consisting of printable ASCII characters (in the range 32-126), where some missing letters have been replaced with _. Output A ...
16
votes
6answers
932 views

The Binary Fences

Input: An integer n in the range 2 <= n <= 10 A list of positive integers Output: Convert the integers to their binary ...
10
votes
10answers
647 views

Fizzbuzz in any base

Challenge Input: An integer \$b\$ between 2 and 62 (inclusive). Output: Count from \$1\$ to the equivalent of \$5000_{10}\$ in base \$b\$, using any reasonable representation for the digits. ...
20
votes
16answers
2k views

Decrypt xor-encryption

Your task is to take an encrypted string as input, and output the string decrypted, to reveal its hidden message. The strings, both the input and output, will contain characters from this list of 64 ...
14
votes
9answers
3k views

Manchester encode a data stream

Manchester coding is a telecom protocol used in radio communications that guarantees bit transitions at a regular interval so a receiver can recover the clock rate from the data itself. It doubles the ...
59
votes
77answers
6k views

Is the number binary-heavy?

An integer is binary-heavy if its binary representation contains more 1s than 0s while ignoring leading zeroes. For example 1 is ...
10
votes
12answers
2k views

Quine outputs itself in binary

Your task, if you wish to accept it, is to write a program that outputs its own source code in the binary UTF-8 representation. Rules The source must be at least 1 byte long. Your program must not ...
58
votes
27answers
13k views

i love yOu i lOve you i love yOu!

XKCD #99, with the title "Binary Heart" shows a simple image of ones and zeros, with some digits colored red. The red heart is visible to the naked eye, but the message hidden in the binary sequence ...
20
votes
23answers
2k views

Find the BCD difference of a number

BCD difference Given an integer n, convert it to BCD (binary-coded decimal) by replacing each decimal digit with its 4-digit binary representation ...
19
votes
19answers
2k views

Calculate hamming weight with low hamming weight

Create a program that computes the hamming weight of a string. Winner is the program with the lowest hamming weight. Rules: Hamming weight for an ASCII character is defined as the total number of ...
33
votes
50answers
4k views

The first n numbers without consecutive equal binary digits

The sequence contains the decimal representation of the binary numbers of the form: 10101..., where the n-th term has n bits. The sequence is probably easiest to ...
41
votes
11answers
4k views

Find a binary needle in a decimal haystack

The challenge You're given: a non-empty, unsorted list h of positive integers (the haystack) a positive integer n (the needle) Your task is to return the list of all unique decimal concatenations ...
36
votes
14answers
4k views

Incrementing Gray Codes

Introduction A Gray Code is an alternative to binary representation in which a number is incremented by toggling only one bit, rather than a variable amount of bits. Here are some gray codes along ...
6
votes
3answers
483 views

Symmetric boolean functions as Zhegalkin polynomials

Let \$\mathbb{B} = \mathbb{Z}_2 = \{0, 1\}\$ be the set of booleans. A symmetric boolean function in \$n\$ arguments is a function \$f_S : \mathbb{B}^n \to \mathbb{B}\$ that checks if the number of ...
66
votes
11answers
3k views

Only Even Bytes

The scenario Lately you have been noticing some strange behavior with your favorite text editor. At first it seemed that it was ignoring random characters in your code when writing to disk. After a ...
52
votes
71answers
7k views

In how many bits do I fit

For any positive 32-bit integer (1 ≤ n ≤ 0xFFFFFFFF) output the number of bits needed to represent that integer. Test cases ...
1
vote
0answers
104 views

Golf a bit-reversal table [duplicate]

The Premise: You are writing a C driver for a screen for use on an embedded system. The screen uses a tortured version of SPI that requires data to be sent LSb (least-significant-bit) first, but MSB (...
31
votes
15answers
5k views

Let's play Mölkky!

Mölkky Mölkky is a Finnish throwing game. The players use a wooden pin (also called "mölkky") to try to knock over wooden pins of almost similar dimensions with the throwing pin, marked with ...
26
votes
22answers
2k views

Diluted Integer Sums

A positive integer can be diluted by inserting a 0 between two bits in its binary expansion. This means that an n-bit number has ...
31
votes
32answers
4k views

Binary Fibonacci

Challenge You need to generate a program or function that takes in a positive integer N, calculates the first N terms of the Fibonacci sequence in binary, concatenates it into a single binary number, ...
22
votes
19answers
1k views

Calculate the binary split sum of a word

Take a string, s containing printable ASCII-characters as input, and output its "binary split sum". Need an explanation? How do you get the binary split sum? We'...
23
votes
25answers
2k views

Compute the Binary Sierpinski Triangle Sequence

The Binary Sierpinski Triangle sequence is the sequence of numbers whose binary representations give the rows of the Binary Sierpinski Triangle, which is given by starting with a 1 in an infinite row ...
35
votes
24answers
3k views

Complex Binary Numbers

Let's create a simple, surjective mapping from positive integers to Gaussian integers, which are complex numbers where the real and imaginary parts are integers. Given a positive integer, for example ...
3
votes
2answers
331 views

Wanna be an Alchemist

Wanna be an Alchemist I've been watching Full Metal Alchemist these past days and I've been wondering, It is really possible to trans-mutate matter? In the real world, I don't know if it is possible, ...
33
votes
28answers
5k views

Create a binary wall

Given an array of positive integers in base 10, where n > 0, output their representation of a binary wall. How does this work? Convert each number to it's ...
38
votes
32answers
4k views

Output numbers up to 2^n-1, “sorted”

Take a positive integer n as input, and output (some of the) decimal numbers that can be created using n bits, ordered in the following way: First list all the numbers that can be created with only ...
8
votes
3answers
464 views

Compress to Impress

Inspired by both the challenge "Unique is Cheap" by @Laikoni, where the score is based on the challenge itself, as well as the JavaScript (ES6) answer of @ETHproductions for the "...
23
votes
16answers
3k views

Take one to make one

Challenge Given a list of positive integers, find if there exists a permutation where taking up to one bit from each of the integers, a binary number consisting of all ...
24
votes
23answers
3k views

Take a byte out of it!

Your task is to, given an unsigned integer n, find the largest number which can be created by removing a single byte (8 consecutive bits) of data. Example Given ...
18
votes
8answers
1k views

Output the Source, One Bit at a Time

Write a non-empty program or function that when called outputs a single value, 1 or 0, and when called multiple times, the output numbers produce the binary representation of your program's source ...
30
votes
25answers
3k views

Palindromic numbers with a binary twist

Warning : this is NOT a "hey, let's draw a cake in ASCII-art" challenge! Please keep reading ;) Some time ago it was my birthday, I'm 33 now. So there is this awkward social tradition consisting in ...
30
votes
42answers
3k views

Mean bits: an average challenge

Given an integer N >= 1, output the mean number of bits in an integer from 0 to N - 1 Specification The output can be calculated as the sum of the number of bits in the binary representation of each ...
1
vote
28answers
2k views

Binary to Hexadecimal

Convert a binary number (of any size) into a hexadecimal number. Input A POSITIVE binary number with just the 0s and 1s. A ...
17
votes
23answers
1k views

Binary Substrings

Inspired by the fourth problem from BMO2 2009. Given a positive integer n as input or a parameter, return the number of positive integers whose binary representations occur as blocks in the binary ...
10
votes
3answers
965 views

Binary Puzzle Solver

Introduction Rules of the puzzle: The puzzle Binary (also known as Takuzu or Subiku) is very simple to understand, and has only a few rules: Since the name of the game is binary it's pretty obvious, ...
18
votes
16answers
2k views

It's a Bit of a Stretch․․․

Input: We take two inputs: An input b with two distinct values: Left and Right.† And a ...
15
votes
12answers
1k views

Binary Branches

Given a binary number, your task is to create a 'branch' of that number, with a depth of 2. For example, given 0 as input, you should output exactly this: ...
18
votes
7answers
2k views

Hilbert's binary Hotel

In this challenge you will be asked to implement any function (or full program) that fulfills two properties. Those properties are: Your function must be an injective (reversible) function from the ...
12
votes
22answers
1k views

Alternating bit smearing

Introduction This challenge requires you to set the trailing zeros of an integers binary representation to 010101…, this is best explained with an example: Given ...
29
votes
75answers
10k views

Clearing the most significant bit from an integer

Input The input is a single positive integer n Output The output isn with its most significant bit set to ...
23
votes
25answers
1k views

Binary Sequences

Given a binary number A as input with d > 1 digits, output a binary number B with d digits according to the following rules for finding the nth digit of B: The first digit of B is zero if the first ...
2
votes
8answers
6k views

compute number of 1 bits in a binary representation of a number

The goal is to write a program that returns number of 1 bits in a given number. Examples 5 -> 2 1254 -> 6 56465 -> 8 Winner The winning ...
18
votes
7answers
1k views

Longest hypercube path

Challenge You are given two distinct bit strings of the same length. (For example, 000 and 111.) Your goal is to find a path ...
19
votes
14answers
921 views

Binary Prime-Chunks

We are searching for a sequence Take the natural numbers 1,2,3,4,5,6,7,8,9,10,11,12,13,14... Convert to base-2 ...
29
votes
25answers
4k views

Fizz Buzz to Text

Introduction I don't particularly know where the fizz buzz trend came from. It might just be a meme or something, but it is somewhat popular. Challenge Your job today is to convert Fizz Buzz into ...
32
votes
7answers
2k views

Finite tilings in one dimension

The purpose of this challenge is to determine if a collection of one-dimensonal pieces can be tiled to form a finite continuous chunk. A piece is a non-empty, finite sequence of zeros and ones that ...
9
votes
2answers
948 views

Floating point addition, without floats!

Your task is to write a program, in any language, that adds two floating point numbers together WITHOUT using any fractional or floating point maths. Integer maths is allowed. Format The format for ...
19
votes
7answers
1k views

Number of distinct non-empty subsequences of binary expansion

A subsequence is any sequence that you can get from another by deleting any amount of characters. The distinct non-empty subsequences of 100 are ...
20
votes
13answers
1k views

The Binary Square Diagonal Sequence

The binary-square-diagonal-sequence is constructed as follows: Take the sequence of positive natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ... Convert each number to ...
29
votes
27answers
3k views

16-bit binary grid

Given any unsigned 16 bit integer, convert its decimal form (i.e., base-10) number into a 4x4 ASCII grid of its bits, with the most-significant bit (MSB) at the top left, least-significant bit (LSB) ...