Robert Albano		Take Home Test			3 / 20 / 11


1.	a.  000       b. 104	    c.  7C	 d.  10001    e.  B [11]	        f.  21		
	    001       
	    010       g.  122	    h.	18
	    011
	    100
	    101
	    110
	    111
[[10/12]]

		        Initial	 Decimal    Hex    Octal    Binary
2.	First	   A)    R	  82	    52	   122	    1010010
	Middle     B)	 A	  65	    41	   101	    1000001
	Last  	   C)	 A	  65	    41	   101	    1000001
[[12/12]]

3.	    Old	       New       
	    DEC.       DEC.    ASCII       Hex       Binary       Compliment
X = A - 5   82 - 5     77        M          w [4D]   01110111[01101101]    10001000[OK]
Y = B + 10  65 + 10    75        K          u [4B]   01110101[01001011]    10001010[OK]
Z = C + 33  65 + 33    98        b          ~ [62]   10011000[0110 0010]   01100111[OK]
[[6/12]]

	4.		ONES		   TWOS	           SIGN      OFFSET -
    COMPLIMENT	        COMPLEMENT         COMPLEMENT      MAG       128
    [1]10001000		[-]77		   89[-78]	    -		 
    [1]10001010		[-]75		   8B[-78]	    -
    [1]01100111		[-]98		   68[-78]            +
[3/12]
	
	5.	COLOR REPRESENTATION
		a.  XYZ       /     grayish purple
		b.  XY0       /     green
		c.  XXX       /     light gray
		d.  X'Y'Z'    /     grayish green
		e.  X'0Z'     /     purple
		f.  Y'Y'Y'    /     gray
		g.  They would all be brighter
[8/8]

Page 2 of 2


6.	a.  15 bits
	b.  32,769
	c.  29 bits
	d.  536,870,913
	e.  1,048,576
	f.  2,097,152
	g.  8 bits
[7/7]

7.	a.  300,000 X 10E6  [300x10^6]
	b.  200 X 10E6
	c.  One tenth the amount of time.
	d.  200 Mhz
	e.  2 Ghz

8.       (AB + C')  +  (BC)

	TRUTH TABLE

	AB  C  C'     AB+C'     BC     +OUT  
	00  0  1        1       0        1
	01  1  0        0       0        0
	10  0  1        1       0        1
	11  1  0        1       1        1

9.	Sum = (A X+ B)  X+  C	       C = Carry-In
	
	Carry-Out = C(A X+ B)  +  AB
[+4]

10.	DeMorgan's Law
	Sum =  [(A X+ B)'  X+  C]'   =    (AB)'C'
	Carry-Out = [C(A X+ B)  +  AB]'   =   C' + (AB)'A'+B'
[+4]