Colors of different nature can be produced by mixing three fundamental colors that are red, green and blue. Consider you are assigned a task to design a digital system that is equipped with three different LEDs and four different color sensors. One LED is red (symbolized with R), one is green (symbolized with G) and one is blue (symbolized with L) while one sensor detects white color (symbolized with W), one detects black color (symbolized with B), one detects cyan color (symbolized with C) and one sensor detects magenta color (symbolized with M). It is known that each color sensor produces logic 1 output if and only if when an object of its corresponding color passes in front of it, otherwise logic 0.Each LED turns on when logic 0 is provided to it and remains turned off otherwise. Three LEDs are to be turned on according to the following conditions. i.If only white color is detected then all three LEDs should be on ii.If only black color is detected then all three LEDs should be off iii.If both cyan and white are detected then only blue and green LEDs should be on iv.If both magenta and white are detected then only blue and red LEDs should be on v.If only magenta is detected then only red LED should be on vi.If only cyan is detected then only blue LED should be on vii.LEDs remain off for any other outputs from all sensors In order to implement this digital system, you are required to provide: i.Truth table for controlling three LEDs ii.K-map derivation of Boolean functions iii.A single NAND-only circuit controlling three LEDs
course Digital Logic Design
Question :
Course Digital Logic Design.
Question :
Colors of different nature can be produced by mixing three fundamental colors that are red, green and blue. Consider you are assigned a task to design a digital system that is equipped with three different LEDs and four different color sensors. One LED is red (symbolized with R), one is green (symbolized with G) and one is blue (symbolized with L) while one sensor detects white color (symbolized with W), one detects black color (symbolized with B), one detects cyan color (symbolized with C) and one sensor detects magenta color (symbolized with M).
It is known that each color sensor produces logic 1 output if and only if when an object of its corresponding color passes in front of it, otherwise logic 0.Each LED turns on when logic 0 is provided to it and remains turned off otherwise. Three LEDs are to be turned on according to the following conditions.
i.If only white color is detected then all three LEDs should be on
ii.If only black color is detected then all three LEDs should be off
iii.If both cyan and white are detected then only blue and green LEDs should be on
iv.If both magenta and white are detected then only blue and red LEDs should be on
v.If only magenta is detected then only red LED should be on
vi.If only cyan is detected then only blue LED should be on
vii.LEDs remain off for any other outputs from all sensors
In order to implement this digital system, you are required to provide:
i.Truth table for controlling three LEDs
ii.K-map derivation of Boolean functions
iii.A single NAND-only circuit controlling three LEDs
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