najonity a co ational circult whose output is equal to 1 if the input variables have more 1's than 0's. The output is 0 otherwise. For examples in 3-bit majority circuit with the input variable x, y, z. The output variable is equal to 1 for the decimal numbers 3 (the binary number of 3 is 011), 5 (the binary number of 5 is 101), 6 (the binary number of 6 is 110), and 7 (the binary number of 7 is 111). All these numbers have more 1's than O's. (e.g., 3 in binary has two 1's and one O's; 7 in binary has three 1's, no 0's). Design a 4-bit majority circuit by finding the circuit truth table, the Boolean function, and

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A majority circuit is a combinational circuit whose output is equal to 1 if the input variables
have more 1's than 0's. The output is 0 otherwise. For examples in 3-bit majority circuit
with the input variable x, y, z. The output variable is equal to 1 for the decimal numbers 3
(the binary number of 3 is 011), 5 (the binary number of 5 is 101), 6 (the binary number of
6 is 110), and 7 (the binary number of 7 is 111). All these numbers have more 1's than
O's. (e.g., 3 in binary has two 1's and one O's; 7 in binary has three 1's, no 0's).
Design a 4-bit majority circuit by finding the circuit truth table, the Boolean function, and
the logic diagram.
Transcribed Image Text:A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1's than 0's. The output is 0 otherwise. For examples in 3-bit majority circuit with the input variable x, y, z. The output variable is equal to 1 for the decimal numbers 3 (the binary number of 3 is 011), 5 (the binary number of 5 is 101), 6 (the binary number of 6 is 110), and 7 (the binary number of 7 is 111). All these numbers have more 1's than O's. (e.g., 3 in binary has two 1's and one O's; 7 in binary has three 1's, no 0's). Design a 4-bit majority circuit by finding the circuit truth table, the Boolean function, and the logic diagram.
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