Carry-save adder is designed to add two numbers using the carry-save method, in which each adder carries its bit to the next adder, which is then added to the current partial carry results, one at a time. This addition process continues until all of the numbers have been added.
Carry-save adder is a parallel adder. The general structure of this design is:

The input of the carry-save adder is:

Input A

Input B

Output

Stage 1

Stage 2

Stage 3

Stage 4

Stage 5

Stage 6

In the first stage of the carry-save adder, the first pair of input A and B are added in the one-bit adder. The output of the first stage is the carry out bit of the first adder. The output of the second stage is the carry out bit of the second adder.

The second stage is similar to the first stage. The output of the first stage is the carry out bit of the first adder. The output of the second stage is the carry out bit of the second adder.

In the third stage, two bits of the first carry bit of the first adder and carry bit of the second adder are added in the two-bit adder. The output of the third stage is the carry out bit of the third adder.

The fourth stage is similar to the third stage. The output of the fourth stage is the carry out bit of the third adder.

In the fifth stage, the addition of the result from the second stage and the third stage is performed in the two-bit adder. The result of the addition is the sum of A and B. The output of the fifth stage is the carry out bit of the fifth adder.

In the sixth stage, the sum of the fifth result and the carry out bit from the fourth stage is added in the two-bit adder. The output of the sixth stage is the carry out bit of the sixth adder.

The operation of the carry-save adder is shown below:

How to Make a Carry-Save Adder Step by Step:
There are many ways to do

The first three digits of the algorithm are the name of the author or the producer of the algorithm. The following 14 letters or numbers are the algorithm.
Carry-save adder is a type of adder with summation. In the figure, it shows a simple carry-save adder.
Carry-save adder without summation is an adder with summation. In the figure, it shows a simple carry-save adder without summation.

A:

Not sure how it is used, but I suspect that Carry-Save Adder is used in methods like this:
int c = a + b;
int d = c >>> 16;
int e = c & 0xFFFF;
int f = d + e;
return f;
}

Because the Carry-Save Adder is typically simpler to implement than the Full Adder, this is a method used by many languages to implement addition.
Of course, it could be used in other ways, e.g., it could be used to implement an associative language.
And actually, when I look at the Java Language Specification (JLS), it does mention Carry-Save Adders in the Introduction.
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The logic operation of the circuit is given in the picture above.
In this Carry-save adder, all the inputs carry bits are stored in two sets of
2×2 matrix. The output is the sum of the partial results after adding the last set of carry bit.
The output carry bit is the carry bit of the result.

References

A tutorial on Carry-Saves

Category:Logic gatesLife After Dying

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## What’s New in the Carry-save Adder?

The carry-save adder works on a binary number. This number can be represented by the number of bits and digits, for example:

Adders with more than 1-bit have a special implementation which we will show later. A carry-save adder is a circuit with a multiplier and carry-save adder as shown in the picture below.

It is possible to represent a circuit with carry-save adder in a 2D table, as shown in the diagram below. The first row indicates the sum of all bits and the second row indicates the carry bits. In the example below, we will build a circuit with 1 bit, 2 bits and 5 bits of digits.

We will build a circuit with the carry save adder with 1-bit, 2-bit and 5-bit digits.

This circuit will compute the addition of 1, 2, 5 digits, respectively, and the outputs will be LSB, MSB and carry in order.

For example, the first output LSB is given by the addition of the bit numbers: (1+2) + (2+1) + (1+5) = 14. The second output, which is MSB of this LSB output is given by the addition of the bit numbers: (1+2) + (2+1) + (5) = 15.

You can build the addition of a 1-bit digit in the following way.

The first carry is called a direct carry. It is used for calculating the result of the full-width adder. If the carry bit is 0, the rightmost bit of the 1-bit sum is copied into the carry output and if the carry bit is 1, the carry output is set to 1.

This means that a carry-save adder with a 1-bit digit is a full-width adder, which performs the same operation as a carry-save adder.

We can write the addition of two 1-bit numbers as follows:

We can write the addition of two 2-bit numbers as follows:

If the two 2-bit numbers are 0, the carry bit output is 0. If the two 2-bit numbers are 1, the carry bit output is 1.

If the two 2-bit numbers are 00, the carry bit output is 0, because 1 added to 1 is 0. If the two 2-bit numbers are 01, the carry bit output is 1, because 2 added to 0 is 2. If the two 2-bit numbers are 10, the carry bit output is 0, because 1 added to 1 is 0. If the two 2-bit numbers are 11, the carry bit output is 1, because 0 added to 2 is 0.

## System Requirements:

-Noah’s Ark is fully compatible with Windows 7 and newer versions
-Minimum operating system requirement is Windows 98, XP, or 2003
-Maximum operating system requirement is Windows 8 or newer
-Noah’s Ark is fully compatible with Windows 7 and newer versions Minimum operating system requirement is Windows 98, XP, or 2003 Maximum operating system requirement is Windows 8 or newer Noah’s Ark is fully compatible with Windows 7 and newer versions