Question

If an integer needs two bytes of storage, then the maximum value of a signed integer is

Answer 1

Answer:

$2^{16}$ - 1

Step-by-step explanation:

An integer is a number with no fractional part; it can be positive, negative or zero. In ordinary usage, one uses a minus sign to designate a negative integer. However, a computer can only store information in bits, which can only have the values zero or one. We might expect, therefore, that the storage of negative integers in a computer might require some special technique. As you might imagine, an unsigned integer is either positive or zero. Consider a single digit decimal number: In a single decimal digit, you can write a number between 0 and 9. In two decimal digits, you can write a number between 0 and 99, and so on. Since nine is equivalent to 101 - 1, 99 is equivalent to 102 - 1, etc. In n decimal digits, you can write a number between 0 and 10n - 1. So, analogously, in the binary number system, An unsigned integer containing n bits can have a value between 0 and 2n - 1 (which is 2n different values).

Answer 2

Explanation:

The maximum value of a signed integer is

$2^1^5 -1$

The maximum value positive integer can store is

$2^1^5 -1=32767$

and the least negative number that can int store is

$-2^1^5 -1=-32768$

An integer is a data of integral data type

hence , it can store 32767  bytes of storage

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