Design a bcd to seven segment decoder, Computer Engineering

Assignment Help:

Design a BCD to seven segment decoder that accepts a decimal digit in BCS and generates the appropriate output for segments in display indicator.

Ans:

BCD-TO-seven-Segment Decoder: A digital display which consists of seven LED segments is commonly utilized to display decimal numerals in digital systems. Various familiar illustrations are electronic calculators and watches where one 7-segment display device is utilized for displaying one numeral 0 through 9. To use this display device, the data has to be converted by some binary code to the code essential for the display. Frequently the binary code utilized is Natural BCD. Fig.(a) demonstrates the display device. Fig.(b) demonstrates the segments that should be illuminated for each of the numerals and Fig.(c) provides the display system.

144_BCD to seven segment decoder.png

                                  Fig.(a)                                                   Fig.(b)

1346_Design a BCD to seven segment decoder.png

Fig.(c)

Table 1 provides the truth table of BCD-to-7-segment Decoder. Now there ABCD is the Natural BCD code for numerals 0 throughout 9. The K-maps for all of the outputs a through g are specified in Fig.(d), (f),(h),(j),(l),(n),(p). The whole in the K-map corresponding to 6 binary combinations not utilized in the truth table are X -don't care.

Decimal      Digit

Displayed

 

Inputs

 

 

 

 

 

Outputs

 

 

 

 

A

B

C

D

a

b

c

d

e

f

g

0

0

0

0

0

1

1

1

1

1

1

0

1

0

0

0

1

0

1

1

0

0

0

0

2

0

0

1

0

1

1

0

1

1

0

1

3

0

0

1

1

1

1

1

1

0

0

1

4

0

1

0

0

0

1

1

0

0

1

1

5

0

1

0

1

1

0

1

1

0

1

1

6

0

1

1

0

0

0

1

1

1

1

1

7

0

1

1

1

1

1

1

0

0

0

0

8

1

0

0

0

1

1

1

1

1

1

1

9

1

0

0

1

1

1

1

0

0

1

1

Tableno.1 Truth Table of BCD-to-7 Segment Decoder

(i) K-map and Logic Diagram for Digital Output 'a':

1603_Logic Diagram for Output a.png

For the Fig.(d) the simplified expressions is given by a =  B‾ D‾  + BD + CD + A and the logic diagram is demonstrated in Fig.(e)

648_Logic Diagram for Output e.png

Fig.(e) Logic Diagram for Output 'a'

(ii) K-map and Logic Diagram for Digital Output 'b':

1015_Logic Diagram for Output f.png

For the Fig.(f) the simplified expressions is specified by b =  B‾ +  C‾D‾  + CD and the logic diagram is demonstrated in Fig.(g)

1964_Logic Diagram for Output b.png

Fig.(g) Logic Diagram for Output 'b'

(iii) K-map and Logic Diagram for Digital Output 'c':

 

761_K-map and Logic Diagram for Digital Output.png

For the Fig.(h) the simplified expressions is specified by c = B + C‾ + D and the logic diagram is demonstrated in Fig.(i)

2216_logic diagram is demonstrated in i.png

Fig.(i) Logic Diagram for Output ' c '

(iv) K-map and Logic Diagram for Digital Output'd':

747_K-map and Logic Diagram for Digital Output d.png

The simplified expressions for the Fig.(j) is given by

d = B‾D‾ + CD‾ + B‾C +BC‾D and the logic diagram is demonstrated in Fig.(k)

70_Logic Diagram for Output d.png

Fig.(k) Logic Diagram for Output ' d '

(v) K-map and Logic Diagram for Digital Output 'e':

1180_K-map and Logic Diagram for Digital Output e.png

For the Fig.(l) the simplified expressions is specified by e =  B‾D‾  + CD‾  and the logic diagram is demonstrated in Fig.(m)

1466_Logic Diagram for Output m.png

Fig.(m) Logic Diagram for Output 'e'

 (vi) K-map and Logic Diagram for Digital Output 'f':

451_K-map and Logic Diagram for Digital Output f.png

For the Fig.(n) the simplified expressions is specified by f = A + C‾ D‾  + BC‾  +BD‾  and the logic diagram is demonstrated in Fig.(o)

1170_Logic Diagram for Output n.png

Fig.(o) Logic Diagram for Output ' f'

(vii) K-map and Logic Diagram for Digital Output 'g':

 

936_K-map and Logic Diagram for Digital Output b.png

For the Fig.(p) the simplified expressions is specified by g = A + BC‾ + B‾C+ CD‾  and the logic diagram is demonstrated in fig.(q).

743_Logic Diagram for Output 1.png

Fig.(q) Logic Diagram for Output ' g '


Related Discussions:- Design a bcd to seven segment decoder

Illustrate the term extranet, Illustrate the term Extranet? Extranet:...

Illustrate the term Extranet? Extranet: Extranet is Extension of an Intranet that makes thelatter accessible to outside companies or individuals with or without an intran

Online Library management system, Please help me to do mini Project about t...

Please help me to do mini Project about this by creating simple front and back end by using html and css and any programming language like python,php to connect those front end and

Computer systems architecture, Assume that you are working in a software co...

Assume that you are working in a software company as a programmer and a bank is your company's client. The Bank is a most popular and one of the leading banks in Malaysia. Your

Define the identifiers of c language, Define the Identifiers of c language?...

Define the Identifiers of c language? In C the names of the functions, variables and arrays and various other user - defined items are called identifiers. The first character o

the entire pcd division, Will executing  SAP R/3 across the entire PCD div...

Will executing  SAP R/3 across the entire PCD division give the division with a competitive benefit?  Clarify  your answer carefully.

The periodic table of elements, Make a data structure to store information ...

Make a data structure to store information about the elements in the periodic table of elements.  For each element, store the name, atomic number, chemical symbol, class, atomic we

Explain the term - integrity, Explain the term - Integrity In most c...

Explain the term - Integrity In most cases, corporate data should remain unchanged by third parties, so the system should be capable of ensuring that only authorised personn

Mechanisms for pick and place industrial robots - robotics, Each group is r...

Each group is required to complete a group assignment on the analysis, modelling and classification of one of the following classes of mechanisms encountered in robotics and indust

Explain variable-partition contiguous storage allocation, Explain the conce...

Explain the concept of variable-partition contiguous storage allocation. Suppose that we have 1024K main memory available in that 128K is occupied through operating system pro

Determine the o/p when i/p A=11001 is applied to a NOT gate, When an input ...

When an input signal A=11001 is applied to a NOT gate serially, its output signal is ? Ans. First input applied will be LSB 00110, as A=11001 is serially applied to a NOT gate

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd