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Consider a computer that uses 5 bits to represent positive integers and uses all 5 bits to represent the value.

Sagot :

The computer bit is the smallest unit in the computer.

The highest positive integer, the computer of 5 bits can represent is 31.

Given

[tex]n=5[/tex] ---- the number of bits

The question requires the highest positive value, the computer can represent.

First, we calculate the count of positive integers (N), the computer can represent.

[tex]N = 2^n[/tex]

Substitute 5 for n

[tex]N = 2^5[/tex]

Evaluate exponents

[tex]N = 32[/tex]

Binary representation starts from 0.

So, the highest positive number it can represent (in decimal) is:

[tex]Highest = 32 - 1[/tex]

[tex]Highest = 32[/tex]

Hence, the highest positive integer it can represent is 31.

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