Binary Logic

Convert 511 into a 32-bit two s complement binary number
 Given the bit pattern A 1000 0000 1100 1010 0100 0000 0000 0000
3. Given x = 0000 0000 0000 0000 0000 0000 0010 0101(two) and 
y = 0000 0000 0000 0000 0000 0000 1111 0110(two)   in two- complement binary representation, show all of your work for the following:

a. x × y using standard shift and add method.
b. Using Booth- algorithm. Which method is more efficient in this case?

4.  What is the IEEE-754 single-precision binary representation of the floating point number 63.25?
5. Given x = 0011 1111 1011 1100 0000 0000 0000 0000(two) and 
y = 0011 1001 1111 1000 0000 0000 0000 0000(two)   in single precision IEEE 754-floating point numbers, perform the following operations.  Show all of your work and express the final answer in single precision IEEE 754-floating point representation.

a. x + y
b. x × y

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