Assignment 1 | Complete Solution

Assignment 1
1.    Do the following binary calculations.

a.    1101 x 0101

b.    11010101/1110    (what are the remainder and quotient?)

2.    Convert the signed decimal integers into binaries.

Decimal:  100        binary:    ____________________        

 Decimal: -120        binary:  ____________________

3.    Write the results of the two numbers (in decimal) after the BIT operations:
234 AND 128        NOT 200        64 OR 170    
    (Note, you need to convert them into binary to do the operations, then covert them back to decimal)
4.    Assuming single precision IEEE 754 format, what decimal number is represent by this format:

 1   01111101    00100000000000000000000
S|   Exponent |     Fraction                                       

5.    Using IEEE 754 single precision floating point with one(1) sign bit, eight (8) exponent bits and twenty three (23) fraction bits, calculate the representation of
-11/16 (-0.6875):  (list all steps)