Question

Identify the inputs and outputs of a one-bit binary full adder 2. Create a truth table...

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

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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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