AK/ITEC 1011 FALL, 2000 ---- ASSIGNMENT # 2

Due:    Monday, October 16, 2000, at 7:00 pm. Not accepted after 9:00 pm, October 23, 2000.
Each question is worth one mark for a total of 30.
This Assignment is worth three percent (3%) of your total grade.
Textbook Reading:     Chapters 4 and 5.     ( Classes 3 & 4 )

1)     

Find the eight bit 2's complement for the following decimal numbers:

 

a)     92

b)     -92

c)     34


2)


Find the sixteen bit 2's complement for the following decimal numbers:

 

a)     10101

b)     -10101

c)     4115


3)


Convert the following binary numbers to floating-point format using single-precision IEEE 754 format. Convert your answer to hexadecimal format.

 

a)     11101.0101

b)     -110.111101

c)     -0.0001101


4)


Convert the following hexadecimal numbers to floating-point format using single-precision IEEE 754 format. Convert your answer to hexadecimal format.

 

a)     311A    

b)     -A31.7    

c)     -0.00D2    


5)


Convert the following decimal numbers to floating-point format using single-precision IEEE 754 format. Express your answer to hexadecimal format. Do the conversions with 8 bits of precision in the mantissa.

 

a)     66.2211    

b)     0.000031

c)     -23.112


6)


Provide the BCD representation of the following:

 

a)     27    

b)     321

c)     1101


7)


The following numbers are in IEEE 754 single-precision floating-point format. What decimal numbers do they represent?

 

a)     C3C2EE0016    

b)     483C540016

c)     BCFE000016

8)

Define or explain briefly: normalization of a floating point number.
 

9)

What number is represented in 9's complement by: a) 2177 ?       b) 617 ?
 

10)

True or False: Single precision floating point format can store all real numbers in the range 2-126 to 2127.
 

11)

True or False: In nine's decimal complement, positive numbers represent themselves.
 

12)

The magnitude of a floating point number is known as the: __________________
 

13)

Express in normalized form (base 10): a) 173.2231       b) 0.000234
 

14)

A number too close to zero to store in a computer is an example of what condition?