COA_Ch03_Pretest

The Boolean AND operation is also known as:

• Boolean sum
• Boolean product
• the complement of a Boolean OR
• the complement of a Boolean XOR

Which of the following equations correctly reflects the truth table shown below?

• (xy'z + x'yz' + x'yz' + x'y'z + x'y'z)'
• xy'z + x'yz' + x'yz' + x'y'z + x'y'z
• x'yz' + x'yz + xy'z' + xyz' + xyz
• (x'yz' + x'yz + xy'z' + xyz' + xyz)'

The truth table shown below is supposed to reflect the function F(x, y, z) = y(x + z') but two lines are in error. Identify them.

• 1 and 2
• 3 and 4
• 5 and 6
• 7 and 8

The Boolean expressions, xx = x and x + x = x, are examples of (the):

• Inverse Law
• Associative Law
• Idempotent Law
• DeMorgan’s Law

The Boolean expressions (xy)' = x' + y' and (x + y)' = x'y' are examples of (the):

• Distributive Law
• Associative Law
• Absorption Law
• DeMorgan’s Law

The Boolean function F(x, y) = x'y' + xy' + y(xy') can be simplified to:

• xy'
• y'
• 1
• x  y' ( x xor y')

The Boolean function F(x, y) = x'y' + x'y + xy is equivalent to:

• x + y'
• x'(y + xy')
• y(x + x'y')
• (xy')'

The Boolean function F(x, y, z) = (y + x)(y + x')(y'+ z) is equivalent to:

• x
• yz
• y'z + xz
• y'z + x'yz + xy'z

The Boolean function F(x, y, z) = y(x'z + xz) + x'yz' + xy'z simplifies to:

• xz + x'y
• x'z + xy
• x'z + xyz
• xy + x'z

The complement, F', of F(x, y, z) = (x' + yz)(xy' + z) (not simplified) is:

• (x' + y' + z')(x'yz')
• (x + y'z') + (x'y + z')
• x(y' + z') + z'(x' + y)
• (xy'z')(x'yz')