A$).$ Convert $48265971$ to a weighted BCD code, the BCD code to use is based on the LS digit of the

number, highlighted in red as shown here $48265971$ you should use BCD $7,4,2,1$

Design, showing all your step, a synchronous sequential machine that will output the BCD code

sequence continuously i$.$e$.$ on each rising edge of a clock pulse. You must use TFFs to store your

count sequence. You should ensure that you minimise any combinational block of logic used in

your design.

Add two output logic blocks to your synchronous sequential machine that will detect if the

weighted BCD number is an even number $($e$.$g$.0,2,4.)$ and if it is a prime number $($e$.$g$.$ Prime

numbers are $2,3,5,7$dots $).$

a$.$ The Prime Number Detector should be specified in $1^{st}$ canonical minimum form Boolean

expression.

b$.$ The Even Number Detector should be specified in $2^{nd}$ canonical minimum form Boolean

expression.

c$.$ Draw a Nand$/$Nand circuit diagram for the Prime Number Detector.

d$.$ Draw a Nor$/$Nor circuit diagram for the Even Number Detector.

Overall System diagram