IEE 754 Representaion

Question 1

What does IEEE stand for?

Answer 1

Institute of Electrical and Electronics Engineers

Question 2

What is the significand stored in in IEEE form?

Answer 2

Standard binary encoding

Question 3

What is special about the significand in IEEE form?

Answer 3

We do not store the first 1 in the binary pattern we need to store.

Question 4

What is the exponent stored in?

Answer 4

Excess representation, with standard bias

Question 5

What is the standard bias for excess representation?

Answer 5

2^(L-1) -1

Question 6

What is the length of the pattern with single precision?

Answer 6

32 total, 1 for sign bit, 8 for exponent, 23 for significand

Question 7

What is the length of the pattern with double precision?

Answer 7

64 total, 1 for sign, 11 for exponent, 52 for significand

Question 8

What is the length of the pattern with quadruple precision?

Answer 8

128 total, 1 for sign, 15 for exponent, 112 for significand

Question 9

What is the significand represented as?

Answer 9

1. (implicit 1). The exponent tells the computer to move the decimal place to move to the left or right x amount of places. (-x goes left, +x goes right)