Discrete Mathematics

Venn Diagrams Bikini Bottom is having a sale on used boats. Woo hoo! Now, you just have to pass the driving exam! A survey was taken on 35 boats. Three different options were counted: radios, Krabby Patty holders (much better than cup holders), and jellyfish nets. The following information was gathered: 19 have radio (R) 17 have Krabby Patty holders (K) 15 have jellyfish nets (J) Also... 13 have J and R 10 have K and J 12 have Rand K 8 have all three options Using a Venn Diagram to figure out the following: 1. How many only have R 2. How many only have J 3. How many only have K 4. How many have K and R, but not J 5. How many have J and K, but not R 6. Only one of the options 7. None of these options Set Algebra Simply the following. Use set algebra. Label all the laws you apply. (A' NB) u (CNC) U (A n B') Floating Point Numbers 1. Encode the number 34.25 (34 and 1/4) to a single precision (32 bit) floating point. Write down its binary representation. You don't have to convert to hex, but please put spaces either between each byte or each field. Show your work 2. What is 01000010100110001100000000000000 when interpreted as a floating point number? 3. What is 01111111100010000000000000000001 when interpreted as a floating point number