Search code examples
boolean-algebra

Equation simplification using boolean algebra

**Simply Equations using boolean rules** 



QUESTION:
AB + (BC)` + A`C`

AB + B` + C` + A`C`
AB+B`+C`(1+A`)
AB + B` + C` (1)
AB + B` + C`

QUESTION:
AD + B`D + AB

AD + B` + D`+ AB
AD + D` +AB + B`
AD + AB + B` + D` 
A(B+D) + B` + D`

have I done simplification in right way.? Answers could be simplified further if yes then what rule should I use.? if I am totally wrong then please tell me correct answer. ? thanks

Solution

  • The first one is correct, the second is not:

    B`D = B` + D` is wrong
B`D = B + D` is correct

    Therefore the solution is:

    QUESTION:
AD + B`D + AB

AD + B + D` + AB
AD + D` + AB + B
AD + D` + B (A + 1)
AD + D` + B
(A` + D`) + D` + B
A` + D` + B
ADB`

    PS: I also wanted to highlight that StackOverflow is not a place for solving or reviewing homework.