See the attached file for questioins

1.     Perform the following calculations and show all work for parts b, c, and d

a.)       

            1101₂

            1010₂

             111₂

+          101₂

b.)       

            11011

X           1011

c.)

d.)        Convert to decimal:  .1001001₂

2.     What are the 16-bit 2’s complement of the following binary numbers? Show how the answers were produced.

            a.)    100111100001001

            b.)    0100111000100100

3.     What is the effect of shifting an unsigned number in a register two bits to the left? Why?

4.     What is the effect of shifting an unsigned number in a register one bit the right? Why?

5.      Suppose that the number in the register is signed (i.e. a number stored using 2’s complement). What is the effect of shifting the number? Why?