1) How many distinct double-bit errors can occur in a 7-bit ASCII character? How many of these errors change the character's parity? How many are detected?
2) Determine whether the nor operator ~ defined by a ? b = (a+b)' is associative, commutative, or distributive over +.(show and prove them all)
3) Simplify the 3-input boolean function S m(1,2,6,7) in terms of the inputs x, y and z.
4) Express the 3-input boolean function S m(2,3,4,6) in maxterm canonical form.
5) Use algebraic techniques to determine whether or not the following Boolean equation is valid:
(abd + a'b + b'd + c')(c + ab + bd) =f b(a+c)(a'+c') + d(b+c)