Question

Simplify the following boolean expression into simple one

a.c + b(b`+c). (a`+b.c`)

Answer 1

Answer:

a*c + b(b`+c)*(a`+b*c`)

Step 1:-

Use BODMAS in this, we get

ac+ bb`+bc*(a`+bc)

Step 2

Multiply the other bracket, we get

aa`c+ abc²+ bb`a`+ b²b`c+ bca`+ (bc)²

Step 3

Take commons if required

a(a`c+ bc²) + b(b`a`+ bb`c+ca`) +(bc)²

The above is the required answer.