CS273

Quiz 3 Solution

 

Put your social security number in the right hand corner of the page.  Please do not put your name anywhere on this quiz.  Failure to follow these instructions will cost you 1 point on the quiz.  Note: Be sure to show all your work and no calculators.

You will have until the end of class to complete the quiz.

 

1.      (2 points) Add the following two unsigned binary numbers:
    Note: Your answer should be in binary (radix 2).
        

                      11111                 
                  00001111

               + 00010001
                --------------

                   001000002

 

 

2.      (4 points) Given  7r * 7r  = 61r ; use the algebraic algorithm method given in class to find the value of r:

 

             6*r + 1 = 49

                   6*r = 48

                       r = 48/6

                       r = 8

 

 

3.      (4 points) Use the multiplication algorithm (with table) to convert 121415 to radix base number 10:

 

                           Operation:            +          =          *

Old

Digit

New

Radix

0

1

1

5

5

2

7

5

35

1

36

5

180

4

184

5

920

1

921

 

 

Answer: 92110