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2. Binary multiplier - Wikipedia

   en.wikipedia.org/wiki/Binary_multiplier

   In binary encoding each long number is multiplied by one digit (either 0 or 1), and that is much easier than in decimal, as the product by 0 or 1 is just 0 or the same number. Therefore, the multiplication of two binary numbers comes down to calculating partial products (which are 0 or the first number), shifting them left, and then adding them ...

3. Binary number - Wikipedia

   en.wikipedia.org/wiki/Binary_number

   In the binary system, each bit represents an increasing power of 2, with the rightmost bit representing 2 0, the next representing 2 1, then 2 2, and so on. The value of a binary number is the sum of the powers of 2 represented by each "1" bit. For example, the binary number 100101 is converted to decimal form as follows:

4. Multiplication algorithm - Wikipedia

   en.wikipedia.org/wiki/Multiplication_algorithm

   This example uses peasant multiplication to multiply 11 by 3 to arrive at a result of 33. Decimal: Binary: 11 3 1011 11 5 6 101 110 2 12 10 1100 1 24 1 11000 —— —————— 33 100001 Describing the steps explicitly: 11 and 3 are written at the top

5. Operation (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Operation_(mathematics)

   The number of operands is the arity of the operation. The most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse. An operation of arity zero, or nullary operation, is a constant.

6. Two's complement - Wikipedia

   en.wikipedia.org/wiki/Two's_complement

   The defining property of being a complement to a number with respect to 2 N is simply that the summation of this number with the original produce 2 N. For example, using binary with numbers up to three-bits (so N = 3 and 2 N = 2 3 = 8 = 1000 2, where ' 2 ' indicates a binary representation), a two's complement for the number 3 (011 2) is 5 (101 ...

7. Booth's multiplication algorithm - Wikipedia

   en.wikipedia.org/wiki/Booth's_multiplication...

   Booth's multiplication algorithm is a multiplication algorithm that multiplies two signed binary numbers in two's complement notation. The algorithm was invented by Andrew Donald Booth in 1950 while doing research on crystallography at Birkbeck College in Bloomsbury, London. [1] Booth's algorithm is of interest in the study of computer ...

8. Binary operation - Wikipedia

   en.wikipedia.org/wiki/Binary_operation

   Typical examples of binary operations are the addition (+) and multiplication of numbers and matrices as well as composition of functions on a single set. For instance, For instance, On the set of real numbers R {\displaystyle \mathbb {R} } , f ( a , b ) = a + b {\displaystyle f(a,b)=a+b} is a binary operation since the sum of two real numbers ...

9. Bitwise operation - Wikipedia

   en.wikipedia.org/wiki/Bitwise_operation

   A left arithmetic shift by n is equivalent to multiplying by 2 n (provided the value does not overflow), while a right arithmetic shift by n of a two's complement value is equivalent to taking the floor of division by 2 n. If the binary number is treated as ones' complement, then the same right-shift operation results in division by 2 n and ...