Discrete Mathmatics:

Set Algebra Simply the following. Use set algebra. Show your work for credit. Label all the laws you apply. (A' A c) U (BNB) U (A' n c') Venn Diagrams 1. Draw a Venn diagram to represent the following sets. Make sure to include all the items in the Universe U { spongebob, sandy, gary, patrick, squidward, krabs, pearl, plankton } Diligent (D) spongebob, sandy, krabs, plankton) Krusty Krab (K) - { spongebob, patrick, squidward, krabs Idiots (1) spongebob, patrick, gary, plankton) 2. Now, write down the Fundamental Product expression for each of the items in your Venn Diagram. Please write them down in order listed (in the Universal Set). Floating Point Numbers 1. Encode the number 37.25 (37 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 for credit 2 What is 01000010100011110100000000000000 when interpretod as a floating point number? Show your work for credit 3. What is 01111111100010000000000000000001 when interpreted as a floating point number? Show your work for credit