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A device that tests whether the product of two two bit numbers is equ

A device that tests whether the product of two two bit numbers is equ

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A device that tests whether the product of two two-bit

numbers is equals to \"0\" is to be designed using

combinational logic devices. The circuit can be conveived

as a Boolean function F(A,B,C,D) that is equal to \"1\"

whenever the product of the two bits numbers AB and CD

is zero. For example if AB =11 (3 decimal) and CD is 10

(two decimal) the product will be a binary number different

from \"0\" (decimal 6) and therefore the output of

F(A,B,C,D) will be \"0\" whereas if AB =11 (3 decimal) and

CD is 00 (zero decimal) the product will be \"0\" (zero

decimal) and therefore the output of F(A,B,C,D) will be

\"1\". Which of the given functions provide a minimum

expression for the function F(A,B,C,D)?A\'B + CD\'(A+B)\'

+ (C+D)\'ABC + A\'D\'None of the above

Solution

(A+B)^+(C+D)^ (^ indicates compliment)

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A device that tests whether the product of two two -bit numbers is equals to \"0\" is to be designed using combinational logic devices. The circuit can be conveived as a Boolean function F(A,B,C,D) that is equal to \"1\" whenever the product of the two bits numbers AB and CD is zero. For example if ...
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