Booth's algorithm is used in floating-point multiplication.

Explanation:

Booth's algorithm is a multiplication algorithm that is used to multiply two signed binary numbers. It is particularly useful for performing multiplication in computer hardware.

Floating-point numbers are used to represent real numbers in computers. They consist of a sign bit, an exponent, and a mantissa. The mantissa is the significant digits of the number, while the exponent indicates the position of the decimal point.

Multiplying floating-point numbers using Booth's algorithm involves multiplying the mantissas and adding the exponents. The resulting product is then normalized, which involves adjusting the exponent to reflect the position of the decimal point.

Floating-point multiplication is an important operation in computer arithmetic, as it is used in many applications, such as scientific computing, engineering simulations, and financial modeling. Booth's algorithm provides an efficient way to perform this operation in hardware, making it an essential part of modern computer systems.

Conclusion:

Booth's algorithm is a multiplication algorithm that is used to multiply two signed binary numbers. It is particularly useful for performing multiplication in computer hardware. Floating-point multiplication involves multiplying the mantissas and adding the exponents. The resulting product is then normalized, which involves adjusting the exponent to reflect the position of the decimal point. Booth's algorithm provides an efficient way to perform this operation in hardware, making it an essential part of modern computer systems.