Question: 3 . Work out the following problems from first principles without converting to binary and counting the bits. Then compare with the formulae presented for

3 .

Work out the following problems from first principles without converting to binary and counting the bits. Then compare with the formulae presented for encoding a character string into an integer, and vice

-

versa, in the specified radix.

(

Hint: Consider the next

-

lower and next

-

higher power of two for each integer.

)

)

How many bits are exactly required to encode the following integers?

(

The number shown as an integer

s subscript refers to the radix of that integer.

)

)

Exactly how many bytes are required to represent the numbers in

(

)

above?

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