If we are working with 8-bit computer, then what will be the size of integer that can be stored in computer in binary form.

Introduction

An 8-bit computer is a computer that uses 8 bits to store and process data. A bit is the most basic unit of information in computing and digital communications, and it can have one of two values, 0 or 1. When we talk about an 8-bit computer, we are referring to a computer that uses 8 bits to represent data, which means it can represent 2^8 or 256 different values.

In the context of computer systems, an integer is a whole number that can be positive, negative, or zero. In binary form, integers are represented as a sequence of bits. The number of bits used to represent an integer determines the range of values that the integer can have.

Explanation of Binary Representation

In binary representation, each bit represents a power of 2. The rightmost bit represents 2^0, the next bit to the left represents 2^1, and so on. The value of the binary number is the sum of the powers of 2 for which the corresponding bit is 1.

For example, the binary number 1011 represents the integer 11 because 2^3 + 2^1 + 2^0 = 8 + 2 + 1 = 11.

Calculation of Integer Size in an 8-bit Computer

The size of an integer that can be stored in an 8-bit computer is determined by the number of bits. The maximum integer that can be stored in an 8-bit computer can be calculated using the formula 2^n - 1, where n is the number of bits.

For an 8-bit computer, n = 8, so the maximum integer that can be stored is 2^8 - 1 = 256 - 1 = 255.

Explanation of Result

The result of the calculation means that the maximum integer that can be stored in an 8-bit computer is 255. This is because an 8-bit computer can represent 256 different values, ranging from 0 to 255.

Examples

Here are some examples of integers that can be stored in an 8-bit computer and their binary representations:

• The integer 0 is represented in binary as 00000000.
• The integer 1 is represented in binary as 00000001.
• The integer 2 is represented in binary as 00000010.
• The integer 255 is represented in binary as 11111111.

Conclusion

In conclusion, the size of an integer that can be stored in an 8-bit computer is determined by the number of bits. An 8-bit computer can store integers ranging from 0 to 255. This range is sufficient for many applications, but for larger integers, a computer with more bits would be needed. The binary representation of integers allows for efficient storage and processing of data in computer systems.

Summary

An 8-bit computer can store integers ranging from 0 to 255 in binary form.

Analogy

An 8-bit computer is like a box with 8 switches, each switch can be either on or off. The combination of these switches represents a number in binary form.