Question

a) A remote-control car works such that it has a four-way control (forward, reverse, left, right). The car has four motors for movements in four directions. Each motor turns on when the corresponding button is pressed. For instance, if the left button is pressed the left motor turns on and the car moves in the left direction. The figure below shows the movement of the car according to the pressed button. For instance, when both up and right button are pressed together, both the forward and the right motors are activated and the car moves in the forward right direction. The car sounds an alarm on the following combinations Page 2 of 3 Enrollment Number: Forward and back button pressed simultaneously • Left and right button pressed simultaneously More than two buttons pressed simultaneously Up Button Up & Left Button Up & Right Button Left Button Right Button Down & Left Button Down Button Down & Right Button For the above scenario do the following 1. Select the inputs and output(s) to the system 2. Determine the truth table 3. Estimate the simplified function(s) 4. Draw the logic diagram

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Answer 1

det be So, S., S2,S3 D Select lines be A, B, C, D Q, for text up motor for legt motor for Right motor Q2 for down maor H for alarm motor movement Za ko alarm Z Zh DCBA Q1 Q2 Q₃ QUH 0 0 O o O OOO O 0 0 0100 O Qu 0 00 O OOO - H - O 0 - 1000 0 OOO OO OOO O IO O 0 - - - - - - - - - 011010 - - OoO-OOO-OOOO 0 QztQu Q+Q3 Н Q Q+Qu Q+Q3 LOO - DOO 100 101 O 0 0 10 10 ilo - OOO - OOOOO 0 0 H 00 H 001001 000 O O O O O --- On A 1 OOOOO 1 н 10 O O O o H for Car movement. 3) Simplified expression 10 BA 00 ol 11 SC C DBA TOCATEGÃ + DCB 00 Z. ol 11 151 14 (for any movement) 91 9 JD

4) logic diagram. 01. I Q, Clown) QzCoast) H 13 Q (right) ܝܬ IS 16 H I, 16:1 Z Ig MUX UP (Q+Q3) 19 Q,C3 1,6 Q) Q,+Qu) Aup-right) (uplest) H (alarm) 17 Right H 12 left (Q3) Qu) H I 3 H 14 (down-left) V do wn-right) HIS SBS, S, So (QztQz) (down) Q₂ DCBA Simplified expression for car alarm: BA DC 00 6 11 0) 10 2 3 CBA + DC + CBA +DBA 60 5 ។ za Calarm) 01.1 45 1 CER Ic 10