*** I need each and every step in a detailed explanation to each problem****

IMPORTANT: Make sure you show the steps for obtaining your final answers.

A. (16 points) Show the representation of each of the following signed integers using (a) signed magnitude, (b) 1s complement, (c) 2s complement, and (d) excess-64 notations. Use 7 bits for each representation.

1. 34

2. -29

B. (10 points) Show the IEEE 754 (single precision) bit patterns for the following decimal numbers

1. -0.025

2. 1010

C. (9 points) Perform the following additions using 7-bit 2s complement binary representation. Specify if there is an overflow.

1. 44 + 9

2. -33 + 33

3. -6 - 60

D. (DO NOT COMPLETE THIS EXERCISE. It will be assigned in the next Lab since we still have to cover this material.) Identify both the mask and the Boolean operation needed to accomplish each of the following objectives.

1. Put 1s in the middle four bits of an eight-bit pattern without disturbing the other bits.

2. Take the complement the first four bits of an 8-bit pattern without changing the other bits.

3. Clear all but the least significant bit of an 8-bit pattern without disturbing the least significant bit.

4. Change an uppercase ASCII code character to its corresponding lowercase code.