S4-P1

Question 1

Q41

Answer 1

2
A
With K-map
Note: By numbering, we mean finding minterms for all the options and check.

Question 2

Q42

Answer 2

4
A
Note On Y: XNOR detects equality. and Y = (A3 XNOR B3). (A2 XNOR B2). (A1 XNOR B1). (A0 XNOR B0) so it’ll be 1 when A=B (all bits are equal)
Note On W: we have W= ~a3b3 + (a3 XNOR b3).~a2b2+… this is comparing A,B bit by bit, so for example if ~a3b3=1 this means a3 was 0 and b3 was 1, since they are the MSBs of A and B, then this means A is smaller than B

Question 3

Q43

Answer 3

2

Question 4

Q44

Answer 4

3
A

Question 5

Q45

Answer 5

1
A

Question 6

Memorize The Note

Q46

Answer 6

1
A
Important Note: If we NOT the input and ouptus of FA, this won’t have any effect on the FA, because if we use NOT of all the inputs, both its outputs will be NOT. NOT is distributable on FAs

Question 7

Q47

Answer 7

4 (but it’s missing a 12)

Question 8

Q48

Answer 8

1
A

Question 9

Q49

Answer 9

1
A

Question 10

Q50

Answer 10

3
A
Note: Find the minterms.

Question 11

End Of P1