Lecture_7-CSCI_U310_01-Jahangir_Majumder-Spring_2025

What is the focus of Lecture 7 in CSCI U310?

Discussion of Multiplication and Division.

What is the purpose of the 32-bit ALU in multiplication hardware?

It processes the multiplicand and multiplier during the multiplication algorithm.

What does the Optimized Multiplication Algorithm include?

Testing the multiplier, adding the multiplicand to the product, shifting registers left and right.

In signed integer multiplication, how are the multiplicand and multiplier handled?

Both should be converted to positive numbers before determining the sign bit.

What is the role of HI and LO registers in MIPS/RISC-V multiplication?

HI stores the most-significant 32 bits of the product and LO stores the least-significant 32 bits.

What will happen if a multiplication results in overflow in a 32-bit product?

The HI register will hold the overflow value.

What do 'mult' and 'multu' instructions do in MIPS?

They perform multiplication of signed and unsigned integers, respectively.

What happens during the last repetition in the optimized multiplication algorithm?

The process concludes after 32 repetitions.

What is the goal of using multiple adders in faster multiplication hardware?

To increase performance through cost/performance tradeoff.

What is the significance of Homework 2 and Quiz 2 mentioned in the lecture?

Homework 2 is due today and Quiz 2 will cover lectures 3-5, taking place on Feb. 6.

How are products stored after multiplication in Java as compared to RISC-V?

In Java, a single variable holds the result, while in RISC-V, the result may be split between $s0 and $s1.

What was reviewed at the end of the lecture summary?

The lecture concluded with a recap of multiplication and an introduction to the topics of Division and Floating Point.