The circuit below shows how to construct a 5 X 32 decoder using four 74138 IC\'s

Question

The circuit below shows how to construct a 5 X 32 decoder using four 74138 IC's and a single NOT gate. Assume that you don't have any inverted gate, i.e., No Invertor, no NAND and no NOR gates are available; only two types of gates are available, "AND gates and "OR gates. Show how to modify the design to make it work as a proper 5 X 32 decoder without using any inverted logic gate? (20 points) 7. Y1 74138 EN EN2 EN3 Y55 Y20 74138 Y3- 11 Y412 YS 13 614 15 EN1 EN2 Y7 Yo16 Y117 Y218 19 20 Y5 21 Ye 22 723 4138 4 EN EN2 YO24 Y125 Y2 28 Y327 Y40 28 Y5-29 74138 EN1 Y7 31

Explanation / Answer

In order to make it work normally as a 5x32 decoder without using any inverted gate

following the condition that we have to use only AND and OR gate

You can't get NOT from OR and AND. Proof:

With a 0 input, OR and AND will both be 0. There will be no 1 anywhere in the system. With a 1 input, OR and AND will both be 1. There will be no 0 anywhere.

This is why NAND and NOR chips are popular for small/hobby electronics, since they can make any other logic combination

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