Question

Give the largest positive number that can be represented in 13 bits for the two cases:

Answer 1

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

$(2)^n - 1 = (2)^{13} - 1 = 8191$

In Binary - $(1111111111111)_2$

In decimal - $(8191)_{10}$

In hexadecimal - $(1FFF)_{16$

B) Signed number

The largest signed no can be represented with 13bit as

$2^n = 2^{13} = 8192$

The range is from $(2^n-1)$

therefore, the maximum value is $(4096)_{10}$

In binary - $(1000000000000)_2$

In hexadecimal - $(1000)_{16}$

For more information on Binary numbers, visit

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