ALJABAR BOOLEAN

1.Penyelesaian:

  =A/.B/.C/.D/ + A/.B/.C/.D +A/.B/.C.D + A.B/.C.D/ + A/.B.C/.D/ + A/.B.C/.D +    A.B.C.D/ + A.B/.C.D/ +A.B/.C.D

=A/.B/.C/ (D/ +D ) + A/.B/.C (D + D/) + A.C.D/ (B+B/) + A.B/.C.D

=A/.B.C/ + AC (D/ +B/.D)

=A/.B/ +A/.D.C/ + AC (D/ + B/)

=A/(B/ +B.C/) +AC (D/ + B/)

=A/ (B/ + C/) + AC (D/ + B/)

=A/.B/ +A/.C/ +A.C.D/  +A.B/.C

2. Penyelesaian:

A/B/C/D/+A/BC/D/+AB/C/D/+A/B/CD+A/B/CD+A/B/CD/+A/BCD/+AB/CD/

AB/CD

=A/.C/.D/ (B/+B) + AB/.C./D/ +A/.B/.C. (D+D/)+CD/ (A/.B+A.B/) +AB/.C.D
=A/.C/.D/ + AB/.C/.D/ +A/B/C +CD/ (A/.B +A.B/) + A.B/C.D

=C/.D/ (A/ +A.B/) + B/.C (A/ +A.D) +C.D/ (A/.B +A.B/)

=C/.D/ (A/ + B/) +B/.C (A/ +D) +C.D/ (A/.B + A.B/)

=A/.C/.D/ + B/.C/.D/ +A/.B/.C + B/.C.D + A/.B.CD/ +A.B/.C.D/

=A/.D/ (C/ + B) + B/.C/.D/. + B/.C (A/ + D)

=A/.C/.D/ +A/.B.D/ + B/.C/.D/ + A/.B/.C + B/.C.D

 

3. Penyelesaian: A/B/C/+ABC/+AB/C/+A/B/C+AB/C

=A/.B/ (C/ +C ) +A.C/ (B+B/)

=A/.B/ +A.C/