Question: A binary coded decimal ( DCB ) to 7 - segment decoder is a combinatorial circuit that converts a DCB digit into values suitable for

A binary coded decimal

(

DCB

)

7 -

segment decoder is a combinatorial circuit that converts a DCB digit into values suitable for selecting the correct segments and displaying the digit on a

7 -

segment display. The seven decoder outputs

(a, b, c, d, e, f, g)

select the corresponding segments of the

7 -

segment display

(

segment displayed

-

output at

" 1 ",

segment not displayed

=

output at

" 0 ") .

The desired numerical display to represent each digit is given below. Using a truth table and Karnaugh tables, design the DCB to

7 -

segment decoder using as few logic gates as possible. The six invalid combinations must not light up any segment

(

.

.

outputs at

0) .

A binary coded decimal (DCB) to 7-segment decoder is a combinatorial

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