Number System and Arithmetic

Question 1

Sign extension is the step in

Answer 1

converting a signed integer from one size to another.

Question 2

0 has two representation in

Answer 2

Sign magnitude and 1’s complement

Question 3

Standards in 32 bit IEEE 754 single precision format?

Answer 3

Sign bit = 1
Exponent = 8 (XS127)
Mantissa = 23

Question 4

Standards in 64 bit IEEE 754 double precision format?

Answer 4

Sign bit = 1
Exponent = 11(XS1023)
Mantissa = 52

Question 5

Example of Normalized number

Answer 5

0.12, 0.125, … (0.1 < m < 1)

Question 6

Example of IEEE normalized

Answer 6

1.1 x 2^4

Question 7

00000000H in IEEE is
e = 00H
s = 0
m = 0

Answer 7

+0 special number

Question 8

80000000H in IEEE is
e = 00H
s = 1
m = 0

Answer 8

-0 Special number

Question 9

7F8000000H in IEEE is
e = FFH
s = 0
m = 0

Answer 9

+∞ special number

Question 10

FF800000H in IEEE is
e = FFH
s = 1
m = 0

Answer 10

-∞ special number

Question 11

in IEEE standard if
e = 00H
s = 0/1
m ≠ 0

Answer 11

Denormalized number

Question 12

in IEEE standard if
e = FFH
s = 0/1
m ≠ 0

Answer 12

Not a Number

Question 13

Smallest normalized positive number in IEEE

Answer 13

s = 0
e = 00000001
m = 00000000000000000000000

Question 14

Largest normalized positive number in IEEE

Answer 14

s = 0
e = 11111110
m = 11111111111111111111111

Question 15

Big Endian addressing of (original = 0x6566)

Answer 15

0x6566
Most significant byte has lowest (first) address.

Question 16

Little Endian addressing of (original = 0x6566)

Answer 16

0x6665
Least significant byte has lowest address.