1. (2 points)

   4048891811_{(base 10)} = F1552FA3_{(base 16)}.

2. (2 points)

   2114112_{(base 8)} = 563274_{(base 10)}.

3. (2 points)

   52E4F03B + 902DC47 = 5BE7CC82_{(base 16)}

4. (3 points)

   2532_{(base 6)} = 2*6³ + 5*6² + 3*6¹ + 2*6⁰
   2*216 + 5*36 + 3*6 + 2 = 432 + 180 + 18 + 2 = 632_{(base 10)}

5. (3 points)

   Using the algorithm from class, 349/6 = 58 + 1/6
   58/6 = 9 + 4/6
   9/6 = 1 + 3/6
   1/6 = 0 + 1/6
   So 349_{(base 10)} should equal 1341_{(base 6)}.

   (checking our answer, indeed 349 = 1*216 + 3*36 + 4*6 + 1 = 216+108+24+1)

6. (4 points)

   	1			1	1
   	4	3	0	2	4	6	3	(base 7)
   +		5	1	3	4	6	0	(base 7)
   -	-	-	-	-	-	-	-
   	5	1	1	6	2	5	3	(base 7)

7. (4 points)

   		1		1	1	1
   			9	4	A	2	B	2	(base 12)
   +		1	5	0	5	A	6	9	(base 12)
   -	-	-	-	-	-	-	-	-	-	-	-
   		2	2	5	4	1	5	B	(base 12)

In short,
6_{(base 16)}=12_{(base 4)}
F_{(base 16)}=33_{(base 4)}
9_{(base 16)}=21_{(base 4)}
C_{(base 16)}=30_{(base 4)}
3_{(base 16)}=03_{(base 4)}

If you want to better understand the math, notice that
6*16⁴ = 6*4⁸ = (1*4⁹ + 2*4⁸)
15*16⁴ = 15*4⁸ = (3*4⁹ + 3*4⁸)
and so on