A car locking system is to be designed with four inputs (D, B, A, and E) and one output L, with the following conditions TM UTM UTDoor, D = 1 when it is closed b. Brake, B=1 whTM c. Accelerator, A = 1 when pressed pressed TM 8 UTM UTMC Engine, E = 1 The output L (locked) is activated (logic 1) when the following condition UTM UTM UTM Un turnTMS occurs on UTMUT TM UTM UTM o When the door is closed and engine turned off UTMUTM o When the engine is turned on and the door is closed, and the brake or UTM 8 UT TM & UTM Uthe accelerator is pressed TM UTM (a) Derive the truth 8 UT table a un press for the logic circuit, UTM UTM UTM (b) UTM & UTM Obtain the minimum Boolean expression in SOP form. UTM & UTM UTMUT (c) UTM TM Obtain the minimum Boolean expression in POS form.MUTM UTM & UTM UTM UTM UTM UTM U1 & UT

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Q.2
A car locking system is to be designed with four inputs (D, B, A, and E) and one
output L, with the following conditions
Door, D = 1 when it is closed
5 UTM 3 UTM aUTN
b. Brake, B = 1 when pressed
A = 1 when pressed
Engine, E = 1 when turned on
5 UTM 5 UTM QUTM
& UTM & UTM 5 UTM
output L (locked) is activated (logic 1) when the following condition
8 UTM 8 UT
occurs
UTM & UTM
5 UTM
o When the door is closed and engine turned off
5 UTM 3 UTM 5 UTM
5 UT
When the engine is turned on and the door is closed, and the brake or
5 UTM
TM
5 UT
AUTM & UTM
8 UT6)5 UTM 5 UTM
UT (b) Obtain the minimum Boolean expression in SOP form.
UTM & UTM
5 UTM & UT
(c)
UTM
UTM UTM
5 UTM
(d) Which Boolean expressions (SOP or POS) result in the least number of literals?
5 UTM
5 UTM U1
5 UT
(e)
uITM
5 UTM 5 UTM
using
NOT, NAND,
F TM 5 UT
TM
5 UTM & UT
Transcribed Image Text:Q.2 A car locking system is to be designed with four inputs (D, B, A, and E) and one output L, with the following conditions Door, D = 1 when it is closed 5 UTM 3 UTM aUTN b. Brake, B = 1 when pressed A = 1 when pressed Engine, E = 1 when turned on 5 UTM 5 UTM QUTM & UTM & UTM 5 UTM output L (locked) is activated (logic 1) when the following condition 8 UTM 8 UT occurs UTM & UTM 5 UTM o When the door is closed and engine turned off 5 UTM 3 UTM 5 UTM 5 UT When the engine is turned on and the door is closed, and the brake or 5 UTM TM 5 UT AUTM & UTM 8 UT6)5 UTM 5 UTM UT (b) Obtain the minimum Boolean expression in SOP form. UTM & UTM 5 UTM & UT (c) UTM UTM UTM 5 UTM (d) Which Boolean expressions (SOP or POS) result in the least number of literals? 5 UTM 5 UTM U1 5 UT (e) uITM 5 UTM 5 UTM using NOT, NAND, F TM 5 UT TM 5 UTM & UT
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