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Questions tagged [bitwise]

For challenges involving bitwise commands or manipulation of numbers at the bit level

18 votes
12 answers
2k views

Is it a valid ARM immediate value?

Exposition In this challenge, I am talking about ARM assembly language. ARM is a 32-bit RISC processor; I'll use instruction set up to architecture v6. To load a constant ("immediate") value ...
anatolyg's user avatar
  • 13.7k
17 votes
18 answers
2k views

XOR of independent Bernoulli variables

In probability theory, a Bernoulli variable is a random variable which has a single parameter \$p\$, and is equal to 1 with probability \$p\$, and 0 with probability \$1-p\$. In this challenge, there ...
Command Master's user avatar
1 vote
0 answers
171 views

making a binary string palindrome using xor operations [closed]

Problem You are given a binary string A of length N. You can perform the following type of operation on the string A: Choose two different indices \$i\$ and \$j\$ (\$1 \le i\$, \$j \le N\$) Change \$...
hemanth's user avatar
  • 11
15 votes
3 answers
566 views

Count the number of disjoint 11 blocks

The task is to count the number of disjoint 11 blocks in a 64-bit word, using the minimum number of straight-line instructions. That is, how many nonoverlapping ...
Falk Hüffner's user avatar
2 votes
3 answers
308 views

Shift distance of number [closed]

Given two non-zero 16-bit integers a and b, decide the smallest number of shift operations needed to turn ...
l4m2's user avatar
  • 25k
8 votes
3 answers
386 views

Smallest and largest 100-bit square with maximum Hamming weight

Introduction In the binary representation of a \$k-\$bit \$(k>1)\$ square number \$n^2, \$ not all bits can be \$1\$. The maximum number of \$1\$-bits (Hamming weight, \$B\$ for short) is given in ...
Hugo Pfoertner's user avatar
8 votes
2 answers
609 views

Inverting string-based binary number in one line in Python

I want to read two strings on separate lines, each string the same length and containing only 0's and 1's, and determine if the first is the one's complement of the second. How succinctly can this be ...
Fixee's user avatar
  • 181
4 votes
19 answers
573 views

Double bit rotation to the right [closed]

Given a positive integer as input, output that integer, but with its bits rotated two times to the right. Also, think of the number as a donut of bits, eg. ...
Joao-3's user avatar
  • 1,223
0 votes
4 answers
131 views

Calculate the truncated log2 of some unsigned integer [duplicate]

Definition Given some number, x calculate the smallest number i such that 2i≥x. This is not a duplicate of this question. It is slightly different in that an input of 16 should yield an output of 4 ...
Nigel's user avatar
  • 347
6 votes
3 answers
390 views

Dr. Lamport's Unfinished Business

Introduction Dr. Leslie Lamport, of the eponymous Lamport one-time signature scheme, is getting rather old. But he can't die until his most famous algorithm gets all the kinks ironed out! In ...
JamesTheAwesomeDude's user avatar
16 votes
6 answers
885 views

Golf this Thumb-2 Constant!

One thing that is constantly frustrating when golfing ARM Thumb-2 code is generating constants. Since Thumb only has 16-bit and 32-bit instructions, it is impossible to encode every immediate 32-bit ...
EasyasPi's user avatar
  • 4,880
18 votes
9 answers
1k views

The Koszul Sign Rule

A Bit of Background The exterior algebra is a central object in topology and physics (for the physics concept cf. fermion). The basic rule dictating the behavior of the exterior algebra is that \$yx =...
Hood's user avatar
  • 2,115
12 votes
9 answers
1k views

Simulate D Flip-Flop

Objective Simulate an edge-triggered D Flip-Flop. What is D Flip-Flop? A D flip-flop is an electronic digital device that outputs an inputted data (abbr. D) with synchronization to a clock (abbr. ...
Dannyu NDos's user avatar
  • 5,961
16 votes
23 answers
2k views

Summing a sub-square of a quarter of an infinite chessboard

Description of the problem Imagine a quarter of an infinite chessboard, as in a square grid, extending up and right, so that you can see the lower left corner. Place a 0 in there. Now for every other ...
RGS's user avatar
  • 14.1k
7 votes
13 answers
216 views

Computational Parity Party! [duplicate]

The computational parity of an integer is defined as 1 if the integer has an odd number of set bits, and 0 otherwise. (src). Input You will receive one nonnegative integer that you will take the ...
S.S. Anne's user avatar
  • 3,308

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