โž• C Operators
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๐Ÿงฎ C Bitwise Operators โ€“ Working with Bits in C Programming

๐Ÿงฒ Introduction โ€“ What Are Bitwise Operators in C?

Bitwise operators in C allow direct manipulation of individual bits within integers. They are highly efficient for low-level programming, especially in embedded systems, cryptography, drivers, and performance-critical applications where memory and processing time matter.

๐ŸŽฏ In this guide, youโ€™ll learn:

  • The list and syntax of bitwise operators
  • How each bitwise operator functions
  • Common use cases and examples
  • Important tips and common pitfalls

๐Ÿ“š List of Bitwise Operators in C

OperatorNameDescriptionExample (a = 5, b = 3)
&Bitwise ANDSets each bit to 1 if both bits are 1a & b โ†’ 1 (0101 & 0011 = 0001)
``Bitwise ORSets each bit to 1 if either bit is 1
^Bitwise XORSets each bit to 1 if only one bit is 1 (exclusive OR)a ^ b โ†’ 6 (0101 ^ 0011 = 0110)
~Bitwise NOTInverts all the bits (1โ€™s complement)~a โ†’ -6 (~0101 = 1010)
<<Left ShiftShifts bits to the left and fills with 0sa << 1 โ†’ 10 (0101 << 1 = 1010)
>>Right ShiftShifts bits to the righta >> 1 โ†’ 2 (0101 >> 1 = 0010)

๐Ÿงช Examples of Bitwise Operators

#include <stdio.h>

int main() {
    int a = 5, b = 3;
    
    printf("a & b = %d\n", a & b);
    printf("a | b = %d\n", a | b);
    printf("a ^ b = %d\n", a ^ b);
    printf("~a = %d\n", ~a);
    printf("a << 1 = %d\n", a << 1);
    printf("a >> 1 = %d\n", a >> 1);
    return 0;
}

Output:

a & b = 1  
a | b = 7  
a ^ b = 6  
~a = -6  
a << 1 = 10  
a >> 1 = 2

๐Ÿ“Œ Binary Representation (Visualization)

DecimalBinary
50101
30011
a & b0001 โ†’ 1
`ab`
a ^ b0110 โ†’ 6

๐Ÿง  Common Use Cases

  • Setting, clearing, and toggling specific bits
  • Checking if a number is odd/even (num & 1)
  • Efficient multiplication/division by powers of 2 using shift (<<, >>)
  • Permissions and flags (like chmod in Linux)
  • CRCs, hashing, cryptography

โš ๏ธ Tips and Pitfalls

  • Bitwise NOT (~) may return negative values due to 2โ€™s complement representation
  • Bitwise operators only work on integral types (int, char, long)
  • Left shifting too far may result in undefined behavior
  • Use unsigned types for consistent shifting behavior

๐Ÿ“Œ Summary โ€“ Recap & Next Steps

Bitwise operators provide direct access to bits for fast and memory-efficient programming. They are powerful tools in low-level programming but require a solid understanding of binary logic.

๐Ÿ” Key Takeaways:

  • Use &, |, ^, ~, <<, and >> to manipulate bits
  • Operate only on integers and charsโ€”not floats or doubles
  • Bit shifts are useful for fast multiplications/divisions by 2
  • Bitwise operations are core to embedded systems and bitmasking

โš™๏ธ Real-World Relevance:

Bitwise operators are widely used in hardware interfaces, microcontrollers, graphics engines, encryption algorithms, and any situation where you need precise, low-level control.


โ“ Frequently Asked Questions (FAQ)

โ“ What is the difference between & and &&?

โœ… & is a bitwise AND operator (compares individual bits).
โœ… && is a logical AND operator (evaluates overall Boolean expressions).


โ“ Can bitwise operators be used on float or double?

โŒ No. Bitwise operators can only be applied to integral types like int, char, short, or long.


โ“ What does the ~ operator do?

โœ… The ~ operator performs a bitwise NOT (1โ€™s complement), inverting each bit of the operand.


โ“ How do I check if a number is even or odd using bitwise?

โœ… Use num & 1:

if (num & 1)  // odd
else          // even

โ“ What does a << 2 mean?

โœ… Left shift a by 2 bits. Equivalent to multiplying a by 2^2 = 4.

int a = 3;
int result = a << 2;  // 3 * 4 = 12

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