L4-Hardware Data Representation

Question 1

Estimate:
2^24
2^30.

Answer 1

16 million and 4 billion.

Question 2

Define Sign magnitude representation.

Answer 2

Unlike 2’s complement, the most sig. bit of data is weightless but signed. i.e. e.g. 0110=6 but 1110=-6.

Question 3

What is the issue with sign magnitude representation?

Answer 3

Zero has two possible formats: 0000=0 and 1000=-0.

Question 4

How would you extend the word length of a -ve number?

Answer 4

Add ones to the MSB, like adding zeros to extend the bit of a +ve number.

Question 5

What does the noise margin do?

Answer 5

This adds a buffer for signal degradation. I.e. the large input range allows electric signals to either be decoded as 1 or 0.