Question

Design a minority gate for three inputs. The output of such a gate becomes 1 if:

a) 1 < 0
b) 1 > 0
c) All inputs are 0
d) Any input is 0

Answer 1

To design a minority gate with three inputs, we can use a three-input NAND gate.

Step-by-step explanation:

To design a minority gate with three inputs, we need to create a circuit that outputs 1 if the number of 0s in the inputs is greater than the number of 1s. One way to implement this gate is by using the NAND (Not-AND) gate. Here is the truth table for a three-input NAND gate:

ABCOutput00010011010101101001101011001110

As we can see from this truth table, the output is 1 when there is only one 0 in the inputs. This matches the condition for the minority gate, where the output is 1 if any input is 0. Therefore, a three-input NAND gate can serve as a design for the minority gate.