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Give the largest positive number that can be represented in 13 bits for the two cases:
a) Unsigned number, and b) Signed number
Show the binary, decimal, and hexadecimal representations of the number for each case

Respuesta :

okpalawalter8

The largest positive number that can be represented in 13 bits for the two cases are

A) Unsigned number

The largest unsigned no can be represented with 13bits as

[tex](2)^n - 1 = (2)^{13} - 1 = 8191[/tex]

In Binary - [tex](1111111111111)_2[/tex]

In decimal - [tex](8191)_{10}[/tex]

In hexadecimal - [tex](1FFF)_{16[/tex]

B) Signed number

The largest signed no can be represented with 13bit as

[tex]2^n = 2^{13} = 8192[/tex]

The range is from [tex](2^n-1)[/tex]

therefore, the maximum value is [tex](4096)_{10}[/tex]

In binary - [tex](1000000000000)_2[/tex]

In hexadecimal - [tex](1000)_{16}[/tex]

For more information on Binary numbers, visit

https://brainly.com/question/21285223

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