2. Design a binary adder which takes three inputs: A, B and C (C is the carry bit, A and B are the two binary numbers), there are two outputs S and X (S is the sum and X is carry bit to next column) and the table is given as below:

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2. Design a binary adder which takes three inputs: A, B and C (C is the carry bit, A and B are the two binary numbers), there are two outputs S and X (S is the sum and X is carry bit to next column) and the table is given as below:

 

ABCSX

 

00000

 

00110

 

01010

 

01101

 

10010

 

10101

 

11001

 

11111

 

a) Write down the minterm expansion for S (in terms of A, B and C)

 

b) Write down the minterm expansion for X (in terms of A, B and C)

c) Simplify minterm expansion for 5 to get a minimum SOP for S d) Simplify minterm expansion for X to get a minimum SOP for X

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