Binary Number System and Basic Bit Operations What is a Binary Number System? A binary number system is a numerical system that uses only two digits, 0...
Binary Number System and Basic Bit Operations
What is a Binary Number System?
A binary number system is a numerical system that uses only two digits, 0 and 1. This system is based on powers of 2, which are the numbers 2, 4, 8, 16, 32, and 64.
Basic Bit Operations
Bit: A bit is the smallest unit of information in a computer. It is either 0 or 1.
Bit Operations:
Bitwise AND (AND): This operation combines two bits, and sets a bit to 1 if both corresponding bits in the binary numbers are 1.
Bitwise OR (OR): This operation combines two bits, and sets a bit to 1 if at least one corresponding bit in the binary numbers is 1.
Bitwise XOR (XOR): This operation combines two bits, and sets a bit to 1 if only one corresponding bit in the binary numbers is 1.
Bitwise NOT (NOT): This operation flips a bit to the opposite of its original state.
Example:
Let's consider the following binary numbers:
1011: This is the binary representation of 3.
1000: This is the binary representation of 8.
1110: This is the binary representation of 12.
Using Bit Operations
Bit operations can be used to perform various operations on binary numbers. For example, we can use bitwise OR to determine if two numbers are equal, or to find the smallest number that is greater than a given number