For each of the following decimal numbers, convert them into each of these forms: binary, hexadecimal, signed magnitude, 1s complement, and 2s complement. If the number is positive, simply show one binary form as there is no difference for positive integers between signed magnitude, 1s complement, and 2s complement. Negative hex numbers can simply be shown witha lea ding minus sign. You may assume that all binary forms require only 8-bits.

1. 117

2. -256

3. 89

4. -79

5. -25

6. Convert the following hexadecimal numbers to binary

a) AC12

b) 7A01

c) DEAD BEEE

7. Simplify the following functional expressions using Boolean algebra and is identities. List the identity used at each step.

a) x(yz + yz) + xy + xy + xz

b) xyz + (y + z) + xyz

c) z(xy + z)(x + y