I need help with my Computer Scirnce homework

1. Show the representation of 20 ( assuming 8 - bit registers ) using:

(a) signed - magnitude representation

(b) signed - 1's complement

(c) twos complement

(d) excess - 127

2. mGiven the 8 - bit binary number: 1 0 0 1 1 0 1 1

What decimal number does this represent if the computer uses:

(a) signed - magnitude representation

(b) signed - 1's complement

(c) signed - 2's complement

4. Assuming 2s complement 8 - bit representation, consider the following:

+70 = 01000110 ₂

+80 = 01010000 ₂

= 10010110 ₂

Is this correct? Why or why not?

5. Assume we are using the Simple Model for floating - point representation as ( the representation uses a 14 - bit format, 5 bits for the exponent with a bias of 16 , a normalized mantissa of 8 bits, and a single sign bit for the number). Show how the computer would represent the numbers 12.125 and 0.675 using this floating - point format.

12.125 =

single sign bit ( 1 bit )	exponent with a bias of 16 ( 5 bits )	normalized mantissa ( 8 bits )

0.675 =

single sign bit ( 1 bit )	exponent with a bias of 16 ( 5 bits )	normalized mantissa ( 8 bits )