Chap 3 - PART 1 - Arithmetic for Computers

Question 1

Quick notes on Numbers

Answer 1

Question 2

Integer Addition Concept:

Answer 2

Question 3

Integer Substraction concept:

Answer 3

Question 4

Describe:

Overflow

Answer 4

• This is a single bit in a system status register used to indicate when an arithmetic overflow happens in an operation
• Indicates that the signed two’s complement result would not fit in the number of bits used for the operation (the ALU width)

Question 5

How to deal with overflow?

Answer 5

Question 6

Multiplication Concept:

Answer 6

Question 7

Multiplication hardware concept:

Answer 7

Question 8

Explain Optimized Multiplier

Answer 8

Question 9

How to achieve faster multiplier?

Answer 9

Question 10

MIPS Multiplication Concept?

Answer 10

Question 11

Division Concept?

Answer 11

Question 12

Division Hardware concept

Answer 12

Question 13

Optimized Divider Concept

Answer 13

Question 14

MIPS Division Concept

Answer 14

Question 15

Explain Floating Point Concept

Answer 15

Question 16

Explain Floating point standard

Answer 16

Question 17

Who is the father of the floating point standard?

Answer 17

Question 18

IEEE Floating Point Format Concept

Answer 18

Question 19

List:

The advantages of Floating Points

Answer 19

Question 20

List:

The disadvantage of floating point

Answer 20

Floating point operations usually are slightly slower than integer operations. And ALSO, you can LOSE precision

Question 21

Explain and define the difference between precision and accuracy

Answer 21

Question 22

Single Precision Range Concept

Answer 22

Question 23

Double Precision Range Concept

Answer 23

Question 24

Image showing:

FP Adder Hardware

Answer 24

Question 25

Floating Points adder hardware

Answer 25

Question 26

FP Arithmetic Hardware

Answer 26

Question 27

FP Instructions in MIPS

Answer 27

Question 28

FP Instructions in MIPS

Answer 28

Question 29

Issues Regarding the MIPS Floating Point Architecture

Answer 29