The display $7-$segments is one of the oldest way to show messages, numbers or alphabetical characters.In order to display the numbers $0$ to $9$ on the $7-$segments, a special encoding isnecessary. The relationships between the LEDs of the display and the decimalnjmbers explained in BCD format have to be revealed. Considering bits b$0,$ b$1,$ b$2$and b$3$ as inputs to the encoder and LEDs $($A$,,$ G$)$ are its outputs, answer thefollowing questions:

$1-$ Write the Truth Table of the encoder.

$2-$ Conclude the logic functions A$,$ B$,,$ G$.$

$3-$ Use the K$-$map to simplify the previous functions.

$4-$ Implement the schematic in Electronic Work Bench