Equation simplification using boolean algebra

Question

**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

Moslem Ben Dhaou · Accepted Answer · 2015-01-23T01:11:10.237

0

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.

edited Jan 23 '15 at 01:11

answered Jan 23 '15 at 00:01

Moslem Ben Dhaou

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okay i will be careful next time but bro can you explain your lines AD + D` + B and (A` + D`) + D` + B – Hassan Gillani Jan 23 '15 at 00:16
A + 1 is equivalent to 1 therefore I removed it, and AD is equivalent to A` + D` – Moslem Ben Dhaou Jan 23 '15 at 00:31
D` + D` is equivalent to D`, therefore I removed one of them – Moslem Ben Dhaou Jan 23 '15 at 00:32

Equation simplification using boolean algebra

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