Write a boolean function and design a logic circuit use of

Question

1. Using a "word" of 5 bits. list all of the possible signed binary numbers and their decimal equivalents that are representable in:

a. Magnitude

b. One's complement

c. Two's complement

2 Express the (- 1/32) number in IEEE 32-bit floating-point format

3 Using Boolean algebra, prove that:

X'Y + XYZ' + Y' + XZ (Y+Y')= 1

4. Charles Stud 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, 8, C, and D) representing the bits in a binary number. and three outputs (SLActive. S2 Active. and S3 Active).

When the input is session 1. the output StActive should be one and all other outputs should be zero

5 . Complete the truth table for the following sequential circuit:

Answer 1

This assignment includes all facts as possible signed binary numbers and their decimal equivalents 1. Using a "word" of 5 bits. Directory all of the possible signed binary numbers and their decimal equivalents that are represent able in: i. Magnitude ii. One's complement iii. Two's complement 2 Convey the (- 1/32) number in IEEE 32-bit floating-point format 3 Using Boolean algebra show that: X'Y + XYZ' + Y' + XZ (Y+Y') = 1 4. Charles Stud University (CSU) is performing 3 sessions every year. The BEGIN month for Session 1 is March, and it finish is Jun. session 2 begins in July. And it end is October. SESSION 3 BEGINS in November. And it end is February. Make a Boolean function and design a logic circuit. Utilize of essential logic gates to activate such 3 sessions for CSU. Intend a circuit through 4 inputs (A, 8, C, and D) symbolizing the bits in a binary number. And 3 outputs (SLActive. S2 Active. And S3 Active).