Detailed explanation of binary functions in C++

Detailed explanation of binary functions in C

Binary functions are an important type of functions in computer science. They are based on binary operations and used to process binary data. In C, binary functions provide rich functions that can perform bit operations, displacement operations, and logical operations.

1. Bit operation

Bit operation is a method of operating on each bit of binary data. C provides a variety of bit operation functions, including bitwise AND (&), bitwise OR (|), bitwise XOR (^), bitwise negation (~), etc.

1. Bitwise AND (&)
   The bitwise AND operation is used to perform a logical AND operation on the corresponding bits of two binary numbers and return the result. Specifically, if both corresponding bits are 1, the result bit is also 1; if any bit is 0, the result bit is 0.

For example, if you perform a bitwise AND operation on the binary numbers 1010 and 1100, the result is 1000.

2. Bitwise OR (|)
   The bitwise OR operation is used to perform a logical OR operation on the corresponding bits of two binary numbers and return the result. Specifically, if at least one of the two corresponding bits is 1, the result bit is 1; if both corresponding bits are 0, the result bit is 0.

For example, if you perform a bitwise OR operation on the binary numbers 1010 and 1100, the result is 1110.

3. Bitwise XOR (^)
   The bitwise XOR operation is used to perform a logical XOR operation on the corresponding bits of two binary numbers and return the result. Specifically, if the two corresponding bits are the same, the result bit is 0; if the two corresponding bits are different, the result bit is 1.

For example, performing a bitwise XOR operation on the binary numbers 1010 and 1100, the result is 0110.

4. Bitwise negation (~)
   The bitwise negation operation is used to negate each bit of a binary number and return the result. Specifically, if a certain bit is 0, the result bit is 1; if a certain bit is 1, the result bit is 0.

For example, if you perform a bitwise inversion operation on the binary number 1010, the result is 0101.

2. Displacement operation

The displacement operation is an operation of shifting a binary number to the left or right according to the specified number of digits. C provides left shift (>) operators to implement displacement operations.

1. Left shift (The left shift operation moves all the bits of a binary number to the left by the specified number of bits and fills the vacated bits on the right with 0s. The left shift operation is equivalent to multiplying by 2 raised to the nth power, where n is the number of bits to shift left.

For example, if the binary number 1010 is shifted left by 2 bits, the result is 101000.

2. Right shift (>>)
   The right shift operation moves all the bits of a binary number to the right by the specified number of digits, and fills the left space with 0 or 1 according to the sign bit Out of position. The right shift operation is equivalent to dividing by 2 raised to the nth power, where n is the number of bits to shift right.

For example, if the binary number 1010 is shifted to the right by 2 bits, the result is 0010.

3. Logical operations

Logical operations are operations that perform logical operations on binary numbers. C provides logical operators such as logical AND (&&), logical OR (||), and logical NOT (!).

1. Logical AND (&&)
   Logical AND operation is used to perform a logical AND operation on two operands and return the result. If both operands are true, the result is true; otherwise, the result is false.
2. Logical OR (||)
   The logical OR operation is used to perform a logical OR operation on two operands and return the result. If at least one of the two operands is true, the result is true; otherwise, the result is false.
3. Logical NOT (!)
   The logical NOT operation is used to perform a logical NOT operation on an operand and return the result. If the operand is true, the result is false; if the operand is false, the result is true.

By using these binary functions, we can easily process binary data. Whether it is bit operations, shift operations or logical operations, they all play an important role in computer science. Mastering the use of these binary functions can help us write efficient and flexible code.

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