CS100 - Assignment 2 (Data representation)

(Section 001, Fall 2007)

The questions carry equal weight. Please show the computations leading to the result. Show all your work for full credit!

  1. Write the range of signed integers that can be represented using 6 bits (using two's complement representation).

  2. Find the two's complement representation of the following numbers using 8 bits: 3, 5, 11

  3. In the following perform addition of signed binary numbers. Solve each problem and convert your result to a decimal base for verification: 
          (a) 1101     (b)1101     (c)0111     (d)0111
         +0011       +0110       +1001       +1010
          ----        ----        ----        ----

  4. Write the following numbers in fixed point representation where 8 bits are allocated to whole part and 8 bits are allocated to the fraction part: 7.25, 8.125, 6.375

  5. Write the following numbers in floating point representation where 10 bits are allocated to the mantissa and 6 bits are allocated to the exponent: 1.27, 22.1, 2.21


Gady Agam 2007-09-10