CO-Lab3

1. From the specifications of the circuit, determine the required number of inputs and outputs, and assign a letter symbol to each.

• Input: 3 $(X,Y,Z)$
• Output: 1 $(F)$

2. Derive the truth table that defines the required relationship between inputs and outputs.

$X,Y,Z$	$F$
$000$	$0$
$001$	$0$
$010$	$0$
$011$	$1$
$100$	$0$
$101$	$1$
$110$	$1$
$111$	$0$

3. Obtain the SOP and simplified Boolean functions of each outputs as function of the input variables. (You can also use the K-Map to obtain the simplest Boolean function.)

• $F=X\bar{Y}Z+XY\bar{Z}+\bar{X}YZ$

4. Draw the logic diagram.

5. Verify the correctness of the design.