Exam 12: A: Boolean Algebra

fill in the blanks. -Using (x \geq y">$" \downarrow \text { "or "nor," }(x+y)>(x \geq y$ ) can be written in terms of , +, and · as ____.

Find the sum-of-products expansion of the Boolean function f(x, y, z) that is 1 if and only if either x = z = 1 and y = 0, or x = 0 and y = z = 1.

Write $x \bar { y } z$ as a sum-of-products in the variables x, y, and z.

determine whether the statement is TRUE or FALSE. Assume that x, y, and z represent Boolean variables. - $x + x y + x = x$

mark each statement TRUE or FALSE. - $x \downarrow y = \overline { x + y }$

mark each statement TRUE or FALSE. -Every Boolean function can be written using only the operators , +, and · .

determine whether the statement is TRUE or FALSE. Assume that x, y, and z represent Boolean variables. - $\overline { y + x z } = \bar { y } \bar { x } + \bar { y } \bar { z }$