1. Convert the following decimal numbers to their binary, octal, and hexadecimal equivalents
a. 16
b. 32
c. 48
d. 80
2. Do the following work and answer the following questions:
a. Explain the relationship between an AND gate and a NAND gate in terms of Boolean Algebra and draw truth tables for both types of gate
b. Explain the relationship between an OR gate and a NOR gate in terms of Boolean Algebra and draw truth tables for both types of gate
3. In the following problems, use 0 to stand for False and 1 to stand for True. Indicate whether the answer is true or false
a. Jack is a boy AND Jill is a girl
b. Jack is NOT a girl
c. Jack is a boy OR Jill is a boy
d. Jack is NOT a boy AND Jill is NOT a boy
e. Jack is a boy OR Jill is NOT a boy
4. Fill in the following truth tables
A B NOT A NOT B A OR B NOT (A OR B) A AND B NOT A AND NOT B NOT (A AND B) NOT A OR NOT B
0 0
0 1
1 0
1 1