Page 48 - Basics of Electrical, Electronic and Communication

13.8. Implementation of logic circuits using universal gates 259

= A + AB + B + BC
= A(1 + B) + B(1 + C )
= A + B
The logic diagram to implement the simplified expression is shown
in Figure 13.22.

A
Y =A +B
B

Figure 13.22: Simplified logic diagram for (A + A + B)(B + B + C)

Exercise
Write the Boolean expression for the logic diagram given in Figure
13.23 and simplify it and draw the logic diagram to implement the
simplified expression.

A
B
Q
C

Figure 13.23: Circuit for exercise

13.8 Implementation of logic circuits using uni-
versal gates

As discussed in section 13.1.4 in page 244 NAND and NOR gates are
called universal gates, because any logic circuits can be fabricated us-

259