Question

1. Perform the following 5-bit binary addition showing the carry bit that propagates to each column. Assume that the numbers are unsigned binary quantities:

    01110

   + 01011

2. What does the three-character string “X+Y” look like internally using the 8-bit ASCII code given in table below? What does it look like in 16-bit Unicode?

3. Using 10 bits to represent the mantissa (sign/magnitude) and 6 bits for the exponent (also sign/magnitude), show the internal representation of the following two values:

   1. +0.25

   2. −32 1/16

4. Explain exactly what happens when you add a 1 to the following 5-bit, two’s complement value: 01111

5. Explain exactly what happens when you perform addition on the following two sign/magnitude integer values:

    00111 (+7)

   +01110 (+14)

Answer 1