Question

1. Minimize the following Boolean expressions using K-Map Method. (a) Y = A.B.C + A.B + A.B.C (b) X = A.B + A.B.C + A.B.C (c) F = a.b.c + \bar{a}.b.\bar{c}.\bar{d} + a.\bar{b}.c.\bar{d} + a.b.\bar{c}.\bar{d} + a.\bar{b}.\bar{c}.d 2. Draw the Circuit for the Minimized Boolean expression of Question No. 1 using Basic gates (AND, OR, NOT).

          1.
Minimize the following Boolean expressions using K-Map Method.
(a) Y = A.B.C + A.B + A.B.C
(b) X = A.B + A.B.C + A.B.C
(c) F = a.b.c + \bar{a}.b.\bar{c}.\bar{d} + a.\bar{b}.c.\bar{d} + a.b.\bar{c}.\bar{d} + a.\bar{b}.\bar{c}.d
2.
Draw the Circuit for the Minimized Boolean expression of Question No. 1 using
Basic gates (AND, OR, NOT).

1.
Minimize the following Boolean expressions using K-Map Method.
(a) Y = A.B.C + A.B + A.B.C
(b) X = A.B + A.B.C + A.B.C
(c) F = a.b.c + a̅.b.c̅.d̅ + a.b̅.c.d̅ + a.b.c̅.d̅ + a.b̅.c̅.d
2.
Draw the Circuit for the Minimized Boolean expression of Question No. 1 using
Basic gates (AND, OR, NOT).

Added by Phillip C.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Akash M

12/06/2023

Step 1

B.C + A.B + A.B.C First, we create a 3-variable K-map for the given expression: ``` C | 00 01 11 10 ----|--------- A B 00| 1 1 0 0 01| 0 0 0 0 11| 0 0 0 0 10| 0 0 0 0 ``` Now, we group the adjacent 1's: ``` C | 00 01 11 10 Show more…

Show all steps

Thanks for your feedback!

Minimize the following Boolean expressions using K-Map Method. Draw the Circuit for the Minimized Boolean expression of Question No. 1 using Basic gates (AND, OR, NOT). 1. Minimize the following Boolean expressions using K-Map Method (a) Y=A.B.C+A.B+A.B.C (b) X=A.B+A.B.C+A.B.C (c) F=a.b.c+a.b.c.a+a.b.c.a+a.b.c.a+a.b.c.d 2. Draw the Circuit for the Minimized Boolean expression of Question No.1 using Basic gates(AND,ORNOT)