Identify the inputs and outputs of a one-bit binary full adder
2. Create a truth table for the full adder
3. Write an equation for each output as a function of the inputs
4. Minimize (simplify) each equation
Answer:
Given that identify the inputs and outputs of a one bit binary full adder
2)
Truth table for the full adder
A | B | C input | SUM | C output | |
0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 1 | 1 | 0 |
2 | 0 | 1 | 0 | 1 | 0 |
3 | 0 | 1 | 1 | 0 | 1 |
4 | 1 | 0 | 0 | 1 | 0 |
5 | 1 | 0 | 1 | 0 | 1 |
6 | 1 | 1 | 0 | 0 | 1 |
7 | 1 | 1 | 1 | 1 | 1 |
3)
An Equation for each output as a function of the inputs
Sum =
=
C output =
=
4) Minimise
SUM
A + B + C input
For two complement
First obtain is compliment nothing
complement each bit
This will be done by XOR the input with another input 1
and then add 1
3 bit adder / substractor only 2's complement.
B 22 B 12 B 02 - is the 2's complement
Select If select = 0 adder function then B 22 B 12 B 02 = B 2 B 1 B 0
If select = 1 substrator function
B 22 B 12 B 02 = 2's complemtary ( B 2 B 1 B 0 )
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