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  2. Signed number representations - Wikipedia

    en.wikipedia.org/wiki/Signed_number_representations

    However, a binary number system with base −2 is also possible. The rightmost bit represents (−2) 0 = +1, the next bit represents (−2) 1 = −2, the next bit (−2) 2 = +4 and so on, with alternating sign. The numbers that can be represented with four bits are shown in the comparison table below.

  3. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    Excel's storage of numbers in binary format also affects its accuracy. [3] To illustrate, the lower figure tabulates the simple addition 1 + x − 1 for several values of x. All the values of x begin at the 15 th decimal, so Excel must take them into account. Before calculating the sum 1 + x, Excel first approximates x as a binary number

  4. Carry-save adder - Wikipedia

    en.wikipedia.org/wiki/Carry-save_adder

    A carry-save adder [1] [2] [nb 1] is a type of digital adder, used to efficiently compute the sum of three or more binary numbers. It differs from other digital adders in that it outputs two (or more) numbers, and the answer of the original summation can be achieved by adding these outputs together.

  5. Subtraction - Wikipedia

    en.wikipedia.org/wiki/Subtraction

    As an example, suppose that 30% of widgets made in a factory are defective. Six months later, 20% of widgets are defective. The percentage change is ⁠ 20% − 30% / 30% ⁠ = − ⁠ 1 / 3 ⁠ = ⁠−33 + 1 / 3 ⁠ %, while the percentage point change is −10 percentage points.

  6. Carry-lookahead adder - Wikipedia

    en.wikipedia.org/wiki/Carry-lookahead_adder

    Even if the numbers were, say, 54 and 69, the addition of the tens digits 5 and 6 would still generate because the result once again carries to the hundreds digit independently of 4 and 9 creating a carrying. In the case of binary addition, + generates if and only if both A and B are 1.

  7. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as a bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because ...

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