Consider the following problem: Four jacks of juice w, x, y and z are placed in sequence on table. Each one may be full i.e. 1 or empty i.e. 0. A Boolean function F is 1 iff there are two adjacent jacks are empty or three consecutive jacks that are full. 1. Give the truth table defining the Boolean function Ft 2. Express F as a minimum SOP. 3. Express F as a minimum POS.

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Consider the following problem:
Four jacks of juice w, x, y and z are placed in sequence on table. Each one may be full i.e. 1
or empty i.e. 0. A Boolean function F is l iff there are two adjacent jacks are empty or three
consecutive jacks that are full.
1. Give the truth table defining the Boolean function F SEP:
2. Express F as a minimum SOP.
3. Express F as a minimum POS.
4. Draw logic diagrams. stP:
Ans:
K-Мар
Truth Table
SOP
POS
x y
F
yz
W
yz
wx
WX
F =
F =
Logic Diagram of SOP
Logic Diagram of POS
Transcribed Image Text:Consider the following problem: Four jacks of juice w, x, y and z are placed in sequence on table. Each one may be full i.e. 1 or empty i.e. 0. A Boolean function F is l iff there are two adjacent jacks are empty or three consecutive jacks that are full. 1. Give the truth table defining the Boolean function F SEP: 2. Express F as a minimum SOP. 3. Express F as a minimum POS. 4. Draw logic diagrams. stP: Ans: K-Мар Truth Table SOP POS x y F yz W yz wx WX F = F = Logic Diagram of SOP Logic Diagram of POS
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