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2. Verbal arithmetic - Wikipedia

   en.wikipedia.org/wiki/Verbal_arithmetic

   Verbal arithmetic, also known as alphametics, cryptarithmetic, cryptarithm or word addition, is a type of mathematical game consisting of a mathematical equation among unknown numbers, whose digits are represented by letters of the alphabet.

3. Carry (arithmetic) - Wikipedia

   en.wikipedia.org/wiki/Carry_(arithmetic)

   During the addition, each carry is "signaled" rather than performed, and during the carry cycle, the machine increments the digits above the "triggered" digits. This operation has to be performed sequentially, starting with the ones digit, then the tens, the hundreds, and so on, since adding the carry can generate a new carry in the next digit.

4. Carry-save adder - Wikipedia

   en.wikipedia.org/wiki/Carry-save_adder

   0 if the digit in our store is 0 or 2, or 1 if it is 1 or 3. 0 if the digit to its right is 0 or 1, or 1 if it is 2 or 3. To put it another way, we are taking a carry digit from the position on our right, and passing a carry digit to the left, just as in conventional addition; but the carry digit we pass to the left is the result of the ...

5. Arithmetic - Wikipedia

   en.wikipedia.org/wiki/Arithmetic

   For example, in the method addition with carries, the two numbers are written one above the other. Starting from the rightmost digit, each pair of digits is added together. The rightmost digit of the sum is written below them. If the sum is a two-digit number then the leftmost digit, called the "carry", is added to the next pair of digits to ...

6. Elementary arithmetic - Wikipedia

   en.wikipedia.org/wiki/Elementary_arithmetic

   The black numbers are the addends, the green number is the carry, and the blue number is the sum. In the rightmost digit, the addition of 9 and 7 is 16, carrying 1 into the next pair of the digit to the left, making its addition 1 + 5 + 2 = 8. Therefore, 59 + 27 = 86.

7. Trachtenberg system - Wikipedia

   en.wikipedia.org/wiki/Trachtenberg_system

   Trachtenberg defined this algorithm with a kind of pairwise multiplication where two digits are multiplied by one digit, essentially only keeping the middle digit of the result. By performing the above algorithm with this pairwise multiplication, even fewer temporary results need to be held.

8. Digital sum - Wikipedia

   en.wikipedia.org/wiki/Digital_sum

   The digit sum - add the digits of the representation of a number in a given base. For example, considering 84001 in base 10 the digit sum would be 8 + 4 + 0 + 0 + 1 = 13. The digital root - repeatedly apply the digit sum operation to the representation of a number in a given base until the outcome is a single digit. For example, considering ...

9. Carry-lookahead adder - Wikipedia

   en.wikipedia.org/wiki/Carry-lookahead_adder

   The addition of two 1-digit inputs A and B is said to propagate if the addition will carry whenever there is an input carry (equivalently, when the next less significant digit in the sum carries). For example, in the decimal addition 37 + 62, the addition of the tens digits 3 and 6 propagate because the result would carry to the hundreds digit ...