Introduction to Computer Architecture
Computer arithmetic is an important aspect of computer architecture that deals with the arithmetic operations performed by the computer. In this lesson, we will cover the basics of computer arithmetic, including the binary number system, addition and subtraction, and multiplication and division.
The binary number system is the foundation of computer arithmetic. In this system, numbers are represented using only two digits, 0 and 1, which correspond to the absence and presence of an electrical pulse, respectively. For example, the binary number 1011 represents the decimal number 11, because 12^3 + 02^2 + 12^1 + 12^0 = 8 + 0 + 2 + 1 = 11.
Addition and subtraction in binary are similar to those in decimal, except that there are only two digits to work with. For example, to add the binary numbers 1011 and 0101, we start by adding the two rightmost digits, which gives us 0+1 = 1. The next digit is 1+1 = 0 with a carry of 1. The third digit is 1+0+1 = 0 with a carry of 1. The leftmost digit is 1+0+0 = 1. Therefore, 1011 + 0101 = 10000 in binary.
Multiplication and division in binary are also similar to those in decimal. For example, to multiply the binary numbers 1011 and 0101, we start by multiplying the rightmost digit of the second number by the first number, which gives us 11 = 1. The next digit is 01 = 0. The third digit is 11 = 1. The leftmost digit is 01 = 0. Therefore, 1011 * 0101 = 110111 in binary.
In conclusion, computer arithmetic is an important topic in computer architecture that deals with the arithmetic operations performed by the computer. The binary number system is the foundation of computer arithmetic, and addition, subtraction, multiplication, and division in binary are similar to those in decimal, except that there are only two digits to work with.
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