Binary numbers and words

Question 1

How many numbers can an n bit binary number represent?

Answer 1

2^n

Question 2

What does a “Carry out” indicate with unsigned arithmetic?

Answer 2

That there has been an overflow

Question 3

When summing two signed negative numbers is there a carry out? Does an overflow occur?

Answer 3

Yes there is a carry out, but you ignore it, there is no overflow.

Question 4

When summing two signed positive numbers which are both larger than 150 what happens? 8Bit

Answer 4

No carry out is produced however an over flow occurred.

Question 5

How do we know if there has been an overflow for singed arithmetic?

Answer 5

if pos and pos makes neg, or if neg and neg makes a pos, then an overflow has occurred. A neg and pos cannot overflow by def.

Question 6

What is the natural word size?

Answer 6

FALSE they are all different

Question 7

For MIPS what is a word

Answer 7

32 bits

Question 8

What do memory locations generally hold?

Answer 8

bytes of data, irrespective of words

Question 9

Processor will have registers which store what size of data?

Answer 9

Words

Question 10

How does big-endian storage work?

Answer 10

Big endian stores the bytes the most significant byte in the lowest address (almost conventional) BIG END OF NUMBER COMES FIRST IN MEMORY

Question 11

How does little-endian storage work?

Answer 11

Low byte (LSB) of number is at the lowest address LITTLE END OF NUMBER COMES FIRST IN MEMORY

Question 12

Describe moving a 8 bit signed byte into a 32 bit word?

Answer 12

Move the value into the LSB and PERFORM SIGN EXTENSION for the other 3 bytes

Question 13

Describe moving a 8 bit unsigned byte into a 32 bit word?

Answer 13

Move the value into the LSB and PERFORM ZERO EXTENSION for the other 3 bytes