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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