a) What is the result of adding the following two IEEE 754 single-precision floating-point registers? Show your steps as you perform the math in binary and produce the final IEEE 754 value that will be placed in the register. 0 10000011 01000000000000000000000 0 10000101 01100000000000000000000

b) Compute the truth table for a logic block that takes in a 3-bit input and produces a 2-bit output that represents the number of 0's in the 3-bit input. For example, if the input is 001, the output should be 10, i.e., there are two 0's in the input 001. Express each output bit with a sum-of-product Boolean equation.