Name:                                                  

	Here are some problems off an old test to be used to help in
	preparation for the next test.  This is not necessarily a complete
	list.  This is meant as a supplement, and is not a replacement for 
	studying!!  There is no guarantee that the test will contain only
	problems like these, or that problems like each of these will
	be on the test!
	

  ECE 201 Fall 98 Quiz 1                   Page 1 of 4

  For each of the following circle ALL CORRECT ANSWERS. There may be one, zero or many correct answers.  If none of the answers are correct, circle nothing.  Each possible answer in the multiple choice will be graded separately-credit will be given for correctly circling or not circling each choice. Problems 1-7 are worth 8 points apiece. Problem 8 is worth 6, 9 and 10 are 4 each, 11and 12 are 7 each, and 13 and 14 are each worth 8.

  1.)  Which of the following unsigned binary numbers is equivalent to the decimal number  70?

  a.) 01000111     c) 01000110  e.)  1010111

  b.) 00100101  d.) 0100110    f.)  0111110

 
        2.) The two's complement of 1011101 is:

  a) 0100010   b.) 1100010   c.) 0100101

  d.) 0100011   e.) 0100001   f.) 101110   

  3.) The Hex number 3A9.20 is equivalent to which of the following octal numbers:

  a.) 43.25   b.) 0724.10   c.) 194.6   d.)1651.10

e.) 165.110   f.)969.125   g.)9A3.02   h.)358.02 

  4.) Which of the following are true?

  a.) x + 0 = 0   b.) x+1=x'   c.)y*1 = 0   d.)y*0=y'

  e.) x+1 = 1   f.)xy+0 = xy   g.)y*0 = 1   h.)y*0 = y'

  5.) Which of the following are NOT true?

  a.) x + x'y = x+y   b.)x(x'+y) = xy   c.)(x+y+z)(x+y'+z)=(x+z)

  d.) xy'+y = 1  e.)zx+z = x+z   f.)xy'+xy'z = xy'

  g.) (x')'= x + xy +xzh.) xy +(x'+y')z=xy+z                      

    6.) Which of the following expressions are true given that:

F(w,x,y,z)=wx + x'yz

  a.) F= Õ(0,1,2,4,5,6,7,8,9,10)

b.) F'= P(0,1,2,4,5,6,7,8,9,10)

c.) F'= S(0,1,2,4,5,6,7,8,9,10)

d.) F= P(0,1,3,4,5,7,8,9,12,13,15)

e.) F= S(3,11,12,13,14,15)

g.) F'= S(0,1,3,4,5,7,8,9,12,13,15)

 
7.) Which of the following expressions correspond to the Boolean Function F(x,y,z)= S(1,4,6,7)?

  a.) F=xy'z' + x'yz' + x'y'z + x'y'z'b.)F= P(1,4,6,7)c.)F=x'y'z+xy'z'+xy

  d.)F= P(0,2,3,5)e.)F=(xy'z'+x'yz'+x'y'z+x'y'z')'                                             

  f.)F=(x+y'+z)(x'+y+z)(x'+y'+z)(x'+y'+z')

 
8.) Which of the following circuits correctly implements the function F=X'Y + XY' ?

   


 
11.) Convert the following numbers to (8-bit)signed 2's complement, then add them and convert the result back to decimal:   17 , -37

      17 = _______________________

-37=_________________________

  Sum=__________________________

Sum in decimal=______

         
         

14.) Using Boolean algebra, expand the following equation to a Sum of minterms (i.e., canonical SOP form). Next, using Boolean Algebra, reduce the equation to a minimum number of literals.

F= a'b' + c' + a'bc

      SOM =

          Fmin =

     


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