1. Assuming that the most significant bit is the sign bit, find the decimal value of the following sign-magnitude form 8-bit binary numbers: a. 11111000 b. 10011111 c. 01111001
2. Find the sign-magnitude form binary representation of the following decimal numbers:
a. 126 b. -126 c. 108 d. -98
3. Find the twos complement of the following binary numbers:
a. 1111 b. 1001101 c. 1011100 d. 11101
4. Assuming you have 10 fingers, including thumbs:
a. How high can you count on your fingers in a binary (base 2) number system?
b. How high can you count on your fingers in base 6, using one hand to count units and the other hand for the carries?