TUGAS ALJABAR BOOLEAN :

1.       X = ABC + A/.C    = C (AB + A/)

                                                 = C (A/ + B)

                                                 = A/.C +BC

2.       Y = (Q + R) (Q/+R/)

=Q.Q/ + Q.R/ +Q/.R +R.R/

=Q.R/+Q/.R

3.       W = ABC +A.B/.C + A/

=AC (B+B/) +A/

=AC +A/

=A/+C

4.       Q = (RST)/.(R +S+ T)/

=R/ +S/ + T/. (R/.S/.T/)

=R/.S/.T/ + R/.S/.T/ + R/.S/.T/

5.       X= A/.B/.C/ + A/.B.C +ABC+A.B/.C/+A.B/.C

=A/.B/.C/ + A.B/.C/ + A/.B.C + ABC +A.B/.C

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

=B/.C/ + BC + A.B/.C

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

=B+AC

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

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

=BC + B/.C/ +A.B/.C

=BC +B/ (C/+AC)

=BC + B/(C/+A)

=BC + B/.C/ +A.B/

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

=C/.D/ +A/.C.D/ +AB/.C/ +A/.D/.CD + AC.D/

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

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

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

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

8.       X = AB(C/.D)/ + A/.B.D+B/.C/.D/

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

=ABC+AB.D/ +A/BD +B/.C/D/

=ABC + A/BD + D/(AB +B/C/)

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