C Bit Manipulation
What is Bit Manipulation?
Bit manipulation means directly operating on the individual bits of an integer using bitwise operators. It is used in systems programming, embedded systems, cryptography, compression, and performance-critical code where you need to pack multiple values into a single integer or toggle hardware flags.
| Operator | Symbol | Description | Example (a=5, b=3) |
|---|---|---|---|
| AND | & | 1 if both bits are 1 | 5 & 3 = 1 (0101 & 0011 = 0001) |
| OR | | | 1 if either bit is 1 | 5 | 3 = 7 (0101 | 0011 = 0111) |
| XOR | ^ | 1 if bits differ | 5 ^ 3 = 6 (0101 ^ 0011 = 0110) |
| NOT | ~ | Flips all bits | ~5 = -6 (two's complement) |
| Left Shift | << | Shift bits left (multiply by 2) | 5 << 1 = 10 |
| Right Shift | >> | Shift bits right (divide by 2) | 5 >> 1 = 2 |
#include <stdio.h>
void printBinary(unsigned int n) {
for (int i = 7; i >= 0; i--) {
printf("%d", (n >> i) & 1);
}
}
int main() {
unsigned int a = 5; // 0000 0101
unsigned int b = 3; // 0000 0011
printf("a = %u (", a); printBinary(a); printf(")\n");
printf("b = %u (", b); printBinary(b); printf(")\n\n");
printf("a & b = %u (AND)\n", a & b); // 1
printf("a | b = %u (OR)\n", a | b); // 7
printf("a ^ b = %u (XOR)\n", a ^ b); // 6
printf("~a = %d (NOT)\n", ~a); // -6 (signed)
printf("a << 1 = %u (LEFT SHIFT = a*2)\n", a << 1); // 10
printf("a >> 1 = %u (RIGHT SHIFT = a/2)\n", a >> 1); // 2
return 0;
}
/*
a = 5 (00000101)
b = 3 (00000011)
a & b = 1 (AND)
a | b = 7 (OR)
a ^ b = 6 (XOR)
~a = -6 (NOT)
a << 1 = 10 (LEFT SHIFT = a*2)
a >> 1 = 2 (RIGHT SHIFT = a/2)
*/
Common Bit Tricks
These patterns appear constantly in real-world C code:
#include <stdio.h>
int main() {
unsigned int n = 0b00001010; // 10 in binary
int pos = 2; // bit position (0 = rightmost)
// SET bit at position pos (force it to 1)
n = n | (1 << pos);
printf("After SET bit %d: %u\n", pos, n); // 14 (00001110)
// CLEAR bit at position pos (force it to 0)
n = n & ~(1 << pos);
printf("After CLEAR bit %d: %u\n", pos, n); // 10 (00001010)
// TOGGLE bit at position pos (flip it)
n = n ^ (1 << pos);
printf("After TOGGLE bit %d: %u\n", pos, n); // 14 (00001110)
// CHECK if bit at position pos is set
int isSet = (n >> pos) & 1;
printf("Bit %d is %s\n", pos, isSet ? "SET" : "CLEAR");
// Check if number is even or odd using bit 0
int x = 17;
printf("\n%d is %s\n", x, (x & 1) ? "odd" : "even");
// Check if power of 2: n & (n-1) == 0
int vals[] = {1, 2, 3, 4, 8, 12, 16};
for (int i = 0; i < 7; i++) {
int v = vals[i];
printf("%2d is %s power of 2\n", v,
(v > 0 && (v & (v-1)) == 0) ? "a" : "NOT a");
}
return 0;
}
Bit Fields in Structures
Bit fields let you pack multiple small values into a single integer within a struct. This is heavily used in embedded systems to map hardware registers.
#include <stdio.h>
// Permissions struct using bit fields
// Each field uses only the specified number of bits
struct Permissions {
unsigned int read : 1; // 1 bit
unsigned int write : 1; // 1 bit
unsigned int execute : 1; // 1 bit
unsigned int admin : 1; // 1 bit
}; // Total: 4 bits packed into one int
int main() {
struct Permissions user = {1, 1, 0, 0}; // read+write, no exec, no admin
printf("Read: %d\n", user.read); // 1
printf("Write: %d\n", user.write); // 1
printf("Execute: %d\n", user.execute); // 0
printf("Admin: %d\n", user.admin); // 0
// Grant execute permission
user.execute = 1;
printf("\nAfter granting execute:\n");
printf("Execute: %d\n", user.execute); // 1
printf("\nSize of Permissions struct: %zu bytes\n",
sizeof(struct Permissions)); // 4 bytes (one int)
return 0;
}
Practical: Swap Without Temp Variable
#include <stdio.h>
int main() {
int a = 15, b = 27;
printf("Before: a=%d, b=%d\n", a, b);
// XOR swap — works because a^b^b = a and a^a^b = b
a = a ^ b; // a = 15^27
b = a ^ b; // b = (15^27)^27 = 15
a = a ^ b; // a = (15^27)^15 = 27
printf("After: a=%d, b=%d\n", a, b); // a=27, b=15
// Note: only works when a and b are different variables
// XOR swap with same variable: a ^= a → a becomes 0!
return 0;
}
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