Boolean Algebra:
1) Simplify the following using any theorems of Boolean algebra required.
a) Factor to get Product of Sums: ACD + B'C + BD
b) Multiply Out to get Sum of Products: (A + B' + D)(BC + AD)(A + C)
c) Simplify: (AC' +D)' + (BCD' + AB)
d) Simplify: (B + F')(ABD + B'DE) + BD
2. Show the minterm and maxterm expansions of the following truth table.
A B C F
0 0 0 0
0 0 1 1
0 1 0 1
0 1 1 1
1 0 0 0
1 0 1 1
1 1 0 0
1 1 1 0
2-bit Adder/Subtractor Circuit
3. Using 4 bits, what is the range of signed numbers possible?
4. Draw, the internal circuit schematic for bit 0 of the adderisubtractor using the basic gates and XOR. XNOR as required. Make sure to show all connections for the remainder of the bits. Label your inputs and outputs.
5. Draw a truth table for Sum 0 and COUT0.
6. What is it called if you add two negative numbers and get a positive result?
