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| 119 views

by Loyal (5.4k points)
+1 vote
 A\BC 00 01 11 10 0 1 1 1 1 1

We can't make any grouping so we need to minimize by taking individual ones

A'B'C+A'BC'+AB'C'+ABC=$A\bigoplus B\bigoplus C$

$A\bigoplus B\bigoplus C \\ \\ =(A\bigoplus B)\bigoplus C\\ =(A'B+AB')\bigoplus C\\ =(A'B+AB')'C+(A'B+AB')C'\\ =(A'B'+AB)C+(A'B+AB')C'\\ =A'B'C+ABC+A'BC'+AB'C'$

Therefore ans should be D

by Active (4.2k points)

It's option (d)

It can be solved using two methods

1)  all variables are independent cannot be minimised further so the resul has to of 4 minterm expressions when you expand the options only option d would match

2) A'B'C+A'BC'+ABC+AB'C'

A'(B'C+BC')+A(BC+B'C')

A'(B XOR C)+A(B XNOR C)

A XOR (B XOR C)

A XOR B XOR C

by (75 points)
It is sum output of the full adder.

so ans d
by (205 points)