1. Using a "word" of 5 bits, list all of the possible signed binary numbers and their decimal equivalents that are representable in: [6 marks] a. Magnitude b. One's complement c. Two's complement 2. Express the (- 1/32) number in IEEE 32-bit floating-point format. [5 marks] 3. Using Boolean algebra, prove that: [3 marks] X'Y + XYZ' + Y' + XZ (Y+Y') = 1 4. Charles Sturt University (CSU) is conducting three sessions every year. The BEGIN month for Session 1 is March, and it end is Jun. SESSION 2 BEGINS in July, and it end is October. SESSION 3 BEGINS in November, and it end is February. Write a Boolean function and design a logic circuit, use of basic logic gates to activate these three sessions for CSU. Design a circuit with four inputs (A, B, C, and D) representing the bits in a binary number, and three outputs (S1_Active, S2_Active, and S3_Active). [6marks] When the input is session 1, the output S1_Active should be one and all other outputs should be zero 5. . Complete the truth table for the following sequential circuit: [5 marks] Please check the document for full questions