Page 148 - DCAP108_DIGITAL_CIRCUITS_AND_LOGIC_DESIGNS

Unit 8: Memory

Notes

Implement the following Boolean functions using a PAL that has four sections with three product
terms each.
F (A, B, C, D) = S(2, 12, 13)
1
F (A, B, C, D) = S(7, 8, 9, 10, 11, 12, 13, 14, 15)
2
F (A, B, C, D) = S(0, 2, 3, 4, 5, 6, 7, 8, 10, 11, 15)
3
F (A, B, C, D) = S(1, 2, 8, 12, 13)
4
Simplifying the functions results in the following functions:

F (A, B, C, D) = ABC′ + A′B′CD′
1
F (A, B, C, D) = A + BCD
2
F (A, B, C, D) = A′B + CD + B′D′
3
F (A, B, C, D) = ABC′ + A′B′CD′ + AC′D′ + A′B′C′D
4
= F + AC′D′ + A′B′C′D
1
The project to create the PAL device was managed by John Birkner and the
actual PAL circuit was designed by H. T. Chua.

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