The months of the year are coded into 4 bits, W, X, Y, and Z, such that the i-th month of the year is given by the binary representation of i-1. For example, January is 0000, February is 0001, March is 0010, ..., December is 1011, where the most significant bit is represented by W and the least significant bit is Z. When presented with inputs W, X, Y, and Z, a digital circuit is to produce an output F, where F = 1 when the input corresponds to a month with 31 days and F = 0 for months not having 31 days. Design the logic circuit to produce output F given the 4-bit input W, X, Y, and Z. %3D

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Provide a truth table, an output boolean expression (format your choice) and a logic circuit diagram. Cheers thanks mate. See sample in 2nd pic

 

 

 

The months of the year are coded into 4 bits, W, X, Y, and Z, such
that the i-th month of the year is given by the binary representation
of i-1. For example, January is 0000, February is 0001, March is
0010, ..., December is 1011, where the most significant bit is
represented by W and the least significant bit is Z. When presented
with inputs W, X, Y, and Z, a digital circuit is to produce an output
F, where F = 1 when the input corresponds to a month with 31
days and F = 0 for months not having 31 days. Design the logic
circuit to produce output F given the 4-bit input W, X, Y, and Z.
Transcribed Image Text:The months of the year are coded into 4 bits, W, X, Y, and Z, such that the i-th month of the year is given by the binary representation of i-1. For example, January is 0000, February is 0001, March is 0010, ..., December is 1011, where the most significant bit is represented by W and the least significant bit is Z. When presented with inputs W, X, Y, and Z, a digital circuit is to produce an output F, where F = 1 when the input corresponds to a month with 31 days and F = 0 for months not having 31 days. Design the logic circuit to produce output F given the 4-bit input W, X, Y, and Z.
Product term Sum Term
A+B +C
SOP
AtB tC
F= Ā BC + ÃBC + ABC +ABC
%3D
ABC
Ā BC
Ā +B +C
ABC
Ā +B +C
1
ABC
ABC
C-
of
Ā BC
ABC
АВС
00
Transcribed Image Text:Product term Sum Term A+B +C SOP AtB tC F= Ā BC + ÃBC + ABC +ABC %3D ABC Ā BC Ā +B +C ABC Ā +B +C 1 ABC ABC C- of Ā BC ABC АВС 00
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