Booth's algorithm is a method for multiplying two signed binary numbers in 2’s complement notation, enhancing multiplication performance. The restoring division algorithm is used for unsigned integers and provides both quotient and remainder during division operations. Examples of division operations with binary numbers illustrate the quotient and remainder outputs.

1. BOOTH ALGORITHM
•Booth’s algorithm is a multiplication algorithm
that multiplies two signed binary numbers in
2’s complement notation.
• It is also used to speed up the performance of
the multiplication process.

4. Restoring Division Algorithm for Unsigned Integer
Restoring division is usually performed on
the fixed point fractional numbers. When
we perform division operations on two
numbers, the division algorithm will give us
two things, i.e., quotient and remainder.

6. Question
15 / 3 15 dividend (1111) = n bits
3 divisor (00011) = (n+1) bits
Q M
M A Q operation
(remainder) (quotient)

7. 17/4
17(Q) = 10001 n bits
4(M) = 000100 n+1 bits