Given the following table of 5 numeric values (listed both in hexadecimal and 8-

Question

Given the following table of 5 numeric values (listed both in hexadecimal and 8-bit binary representation). Answer the questions below, using the ID to identify th enumber you wish to specify as the correct answer.

ID first row -----------Hex--------------------Binary

NUM1-----------------FF---------------------1111 1111

NUM2-----------------07---------------------0000 0111

NUM3-----------------F8---------------------1111 1000

NUM4-----------------87---------------------1000 0111

NUM5-----------------80---------------------1000 0000

a) Which of the above 5 numbers is the largest 8-bit unsigned binary number?

b)Which of the above 5 numbers is equivalent to the same base 10 number when it is

interpreted by a computer using signed-magnitude representation as opposed to a computer

using 2's complement representation?

c) Suppose the Hex value F8 is interpreted as a 1's complement number, would its base 10

and binary representations changes? If so, what would they be?

d) Which of the above 5 numbers is the largest 8-bit 2's complement number?

e) Which of the above 5 numbers is the smallest 8-bit 2's complement number?

Explanation / Answer

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ID first row -----------Hex--------------------Binary          2's complement value          1's complement value

NUM1-----------------FF---------------------1111 1111         -1                                       +0

NUM2-----------------07---------------------0000 0111         +7                                        +7

NUM3-----------------F8---------------------1111 1000        -8                                         -7

NUM4-----------------87---------------------1000 0111       -121                                     -120

NUM5-----------------80---------------------1000 0000         -128                                 -127

a) Which of the above 5 numbers is the largest 8-bit unsigned binary number?      NUM1 = 255

b)Which of the above 5 numbers is equivalent to the same base 10 number when it is

interpreted by a computer using signed-magnitude representation as opposed to a computer

using 2's complement representation?        num2 = +7 signed magnitude, and 2's complement

c) Suppose the Hex value F8 is interpreted as a 1's complement number, would its base 10

and binary representations changes? If so, what would they be?    F8 1's complement=-7
                                                                                               F8 2's complement=+8

d) Which of the above 5 numbers is the largest 8-bit 2's complement number?   07 - it's the only positive number there

e) Which of the above 5 numbers is the smallest 8-bit 2's complement number?   80 = -128

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