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 Num3 is interpreted as a 1's complement number. Which of the above numbers corresponds to the signed-magnitude representation of the same number?

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?

f) Which of the above 5 numbers is the smallest signed magnitude number?

Explanation / Answer

a. Number 1. The unsigned number is 255. b. Number 2 It is the same +7 in signed magnitude and 2's complement c. I dont understand the question. d. Number 2 . the 2's complement is +7, the only one positive. e. Number 5. The 2's complement is -128. the smallest one. f. Number 1. The signed magnitude number is -127 See you in class. ;)

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