CSc 343
Computer Organization and Programming
Spring Quarter 1998
Quiz #1

(1) Convert the decimal number 1103 into binary and hexadecimal 
    notations.

    Binary: ____10001001111________ 

    Hex:    ______44F______________

(2) Convert each of the following decimal representations 
    to its equivalent two's complement form using patterns 
    of eight bits: 

    (a) -49     11001111
    (b)  49     00110001

(3) List ALL the floating point representations of the fractional 
    value 5/32, using 1 bit for sign, 3 bits for exponent in 
    excess-4 notation, and 4 bits for mantissa. 

     0 011 0101
     0 010 1010

(4) Suppose a machine stores fractions in floating point notation with 
    1 bit for sign, 5 bits for exponent and 5 bits for mantissa. 

    (a) What is the largest number that can be represented in this 
        notation?

        31,744

    (b) What is the smallest non-zero positive number that can be 
        represented in this notation?

        1/2,097,152

(5) Convert the following IEEE floating-point number to decimal
    notation:

    1 10001101 01011101101000000000000
 
        -22,376

(6) Represent the number -1204.375 in the IEEE single-precision
    format. Show your answer in HEX notation.

        C4968C00