# Bitwise Algorithms

**Data Structure and Algorithms Course****Practice Problems on Bit Magic !****Recent Articles on Bit Magic !**

The **Bitwise Algorithms** is used to perform operations at the bit-level or to manipulate bits in different ways. The bitwise operations are found to be much faster and are sometimes used to improve the efficiency of a program.

**For example**: To check if a number is even or odd. This can be easily done by using Bitwise-AND(&) operator. If the last bit of the operator is set than it is ODD otherwise it is EVEN. Therefore, if **num & 1** not equals to zero than num is ODD otherwise it is EVEN.

**Topic :**

- Find the element that appears once
- Detect if two integers have opposite signs
- Add 1 to a given number
- Multiply a given Integer with 3.5
- Turn off the rightmost set bit
- Find whether a given number is a power of 4 or not
- Compute modulus division by a power-of-2-number
- Rotate bits of a number
- Find the Number Occurring Odd Number of Times
- Check for Integer Overflow
- Count set bits in an integer
- Count number of bits to be flipped to convert A to B
- Efficient way to multiply with 7
- Program to find whether a no is power of two
- Position of rightmost set bit
- Binary representation of a given number
- Find position of the only set bit
- How to swap two numbers without using a temporary variable?
- Swap two nibbles in a byte
- How to turn off a particular bit in a number?
- Russian Peasant (Multiply two numbers using bitwise operators)
- Add two bit strings
- Write your own strcmp that ignores cases
- Check if two numbers are equal without using arithmetic and comparison operators
- Find XOR of two number without using XOR operator

- Swap bits in a given number
- Little and Big Endian Mystery
- Smallest of three integers without comparison operators
- A Boolean Array Puzzle
- Compute the integer absolute value (abs) without branching
- Compute the minimum or maximum of two integers without branching
- Find the two non-repeating elements in an array of repeating elements
- Write an Efficient C Program to Reverse Bits of a Number
- Smallest power of 2 greater than or equal to n
- Write a C program to find the parity of an unsigned integer
- Swap all odd and even bits
- Check if binary representation of a number is palindrome
- Generate n-bit Gray Codes
- Check if a given number is sparse or not
- Euclid’s Algorithm when % and / operations are costly
- Find nth Magic Number
- How to swap two bits in a given integer?
- Calculate square of a number without using *, / and pow()
- Generate 0 and 1 with 25% and 75% probability
- Find even occurring elements in an array of limited range
- Cyclic Redundancy Check and Modulo-2 Division
- Copy set bits in a range
- Check if a number is Bleak
- Count strings with consecutive 1’s
- Gray to Binary and Binary to Gray conversion

- Count total set bits in all numbers from 1 to n
- Program to count number of set bits in an (big) array
- Next higher number with same number of set bits
- Karatsuba algorithm for fast multiplication
- Find the maximum subarray XOR in a given array
- Inserting m into n such that m starts at bit j and ends at bit i
- Find Duplicates of array using bit array
- Find longest sequence of 1’s in binary representation with one flip
- Closest (or Next) smaller and greater numbers with same number of set bits
- Bitmasking and Dynamic Programming | Set-2 (TSP)
- Compute the parity of a number using XOR and table look-up
- XOR Encryption by Shifting Plaintext
- Count pairs in an array which have at least one digit common
- Python program to convert floating to binary
- Levelwise Alternating OR and XOR operations in Segment Tree
- Booth’s Multiplication Algorithm
- Leftover element after performing alternate Bitwise OR and Bitwise XOR operations on adjacent pairs
- Number of pairs with Pandigital Concatenation
- Find the n-th number whose binary representation is a palindrome

- Interesting Facts about Bitwise Operators in C
- Optimization Techniques | Set 1 (Modulus)
- What are the differences between bitwise and logical AND operators in C/C++?
- Bit Fields in C
- C++ bitset and its application
- C++ bitset interesting facts
- Builtin functions of GCC compiler
- Bits manipulation (Important tactics)
- Bit Tricks for Competitive Programming

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