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I REALLY NEED HELP WITH THESE 4 PROBLEMS. IT\'S DISCRETE MATH 8. (20 points, 4 p

ID: 3119921 • Letter: I

Question

I REALLY NEED HELP WITH THESE 4 PROBLEMS. IT'S DISCRETE MATH

8. (20 points, 4 points each) Solve each number problem. a) Represent 31610 in binary notation. base base 16 2 x 16, 2 t 6 A 16 0000 0001 2 0010 3 0011 12 640 X 0100 5 0101 6 0110 bo Represent 1101001 101100100, in hexadecimal notation. 01 11 1000 D 3 64 1001 A 1010 1011 1100 D 1101 1110 c) Represent A52DE0,6 in binary notation. 10 10010 0010 01 ll10 0000 d) Add 10112 and 1110, using binary notation. Note: Show all work... do not switch to decimal then add and convert back to binary t 1110 4 10 x e) Subtract 10012 from 10000, using binary notation. Note: Show all work do not switch to decimal then add and convert back bi to 0 0 I X 101 10

Explanation / Answer

a) converting 316 to binary

100111100

d)

Binary addition works in the same way, except that only 0's and 1's can be used, instead of the whole spectrum of 0-9. This actually makes binary addition much simpler than decimal addition, as we only need to remember the following:

0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 10

1011
+1110
11001

12) A is a knave and B is a knight is the answer

Because If A is a knight, he wont say both of us are knaves

An since he is a knave he is lying that B is also a knave. So, B must be a knight