How to calculate binary arithmetic

Binary arithmetic is an operation method based on binary numbers. Its basic operations include addition, subtraction, multiplication and division. In addition to basic operations, binary arithmetic also includes logical operations, displacement operations and other operations. Logical operations include AND, OR, NOT and other operations, and displacement operations include left shift and right shift operations. These operations have corresponding rules and operand requirements.

Binary arithmetic is an operation method based on binary numbers. Its basic operations include addition, subtraction, multiplication and division.

The following are some basic rules of binary arithmetic:

1. Binary addition: According to the rule of "two into one", the phase is added bit by bit from low to high. Add, if the sum of the current bits is 1, carry the previous bit; if the sum of the current bits is 0, keep the current bit unchanged. For example, adding the binary numbers 1011 and 1100 results in 1111.

2. Binary subtraction: According to the rule of "borrowing one makes two", subtract from the high bit to the low bit bit by bit. If the difference between the current bits is a positive number, borrow the bit from the previous bit; If the difference between the current bits is 0 or negative, the current bit is left unchanged. For example, the result of subtracting 101 from the binary number 1010 is 0101.

3. Binary multiplication: The multiplication of binary numbers can be multiplied by each digit and then added to get the result. For example, the binary number 101 times 11 is 1001.

4. Binary division: Binary division can be done by subtracting each bit and then multiplying to get the result. For example, the binary number 100 divided by 11 results in 9 with a remainder of 1.

In addition to basic operations, binary arithmetic also includes logical operations, displacement operations and other operations. Logical operations include AND, OR, NOT and other operations, and displacement operations include left shift and right shift operations. These operations have corresponding rules and operand requirements.

In practical applications, binary algorithms can be used for internal calculations and storage in computers. Because all information inside the computer is expressed in binary form, binary algorithms need to be used when performing mathematical calculations, comparisons, transmissions and other operations. At the same time, due to the advantages of simple operation rules, fast speed, and high accuracy of binary numbers, binary algorithms have been widely used in computer science.

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