Explain the addition of 1010 to 1011 using full adder step by step.

A full adder is a logical circuit that performs an addition operation on three binary digits. The full adder produces a sum of the three inputs and carry value. It can handle the "carry" from previous step in the addition process.

The binary numbers to be added are 1010 and 1011.

Let's break down the addition process step by step:

1. Step 1: Add the least significant bits (0 from 1010 and 1 from 1011) using a full adder. The sum is 1 and the carry is 0.

2. Step 2: Add the next bits (1 from 1010 and 1 from 1011) and the carry from the previous step (which is 0). The sum is 0 and the carry is 1.

3. Step 3: Add the next bits (0 from 1010 and 0 from 1011) and the carry from the previous step (which is 1). The sum is 1 and the carry is 0.

4. Step 4: Add the most significant bits (1 from 1010 and 1 from 1011) and the carry from the previous step (which is 0). The sum is 0 and the carry is 1.

The final result of the addition is the carry from the last step followed by the sum from each step, which is 10101.

Here is a table that summarizes the process:

Step	Bit from 1010	Bit from 1011	Carry from previous step	Sum	Carry
1	0	1	0	1	0
2	1	1	0	0	1
3	0	0	1	1	0
4	1	1	0	0	1

So, the binary addition of 1010 and 1011 using a full adder is 10101.