Higher Engineering Mathematics

98 NUMBER AND ALGEBRA

Figure 11.10

3. The circuit shown in Fig. 11.11
   [
   A·B·(B·C+B·C+A·B);
   see Table 11.6, col. 6

]

Figure 11.11

4. The circuit shown in Fig. 11.12
   [
   C·[B·C·A+A·(B+C)],
   see Table 11.6, col. 7

]

Figure 11.12

In Problems 5 to 7, construct switching cir-

cuits to meet the requirements of the Boolean

expressions given.

5. A·C+A·B·C+A·B
   [See Fig. 11.13]

Figure 11.13

6. A·B·C·(A+B+C)
   [See Fig. 11.14]

Figure 11.14

7.A·(A·B·C+B·(A+C))

[See Fig. 11.15]

Figure 11.15

In Problems 8 to 10, derive the Boolean expres-

sions and construct the switching circuits for the

truth table stated.

8. Table 11.7, column 4
   [A·B·C+A·B·C; See Fig. 11.16]

Table 11.7

1 2 3 4 5 6

A B C

0 0 0 0 1 1

0 0 1 1 0 0

0 1 0 0 0 1

0 1 1 0 1 0

1 0 0 0 1 1

1 0 1 0 0 1

1 1 0 1 0 0

1 1 1 0 0 0

Figure 11.16

9. Table 11.7, column 5
   [
   A·B·C+A·B·C+A·B·C;
   see Fig. 11.17

]