Design a 4-bit arithmetic circuit, with two selection variables S1 and S0, that generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”.   Please write down an optimized equation for Xi and Yi,

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Design a 4-bit arithmetic circuit, with two selection variables S1 and S0, that
generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”. 

 Please write down an optimized equation for Xi and Yi, 

Select
Input
G
S1
So
X
Y
Cin=0
Cin=1
all Os
G=A (transfer)
G=A-1 (decrement) | G=A (transfer)
G=A+B (add)
A
G=A+1(increment)
1
A
all 1s
1
A
B
G=A+B+1
1
1
A
B'
G=A+B'
G=A+B'+1(substract)
Transcribed Image Text:Select Input G S1 So X Y Cin=0 Cin=1 all Os G=A (transfer) G=A-1 (decrement) | G=A (transfer) G=A+B (add) A G=A+1(increment) 1 A all 1s 1 A B G=A+B+1 1 1 A B' G=A+B' G=A+B'+1(substract)
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