2) Design the 2-bit multiplier using the truth table and four 4-variable K-maps. Obtain the standard sum-of-products expression for each output.

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2) Design the 2-bit multiplier using the truth table and four 4-variable K-maps. Obtain the standard sum-of-products expression for each output.

 

The truth table for the binary multiplier with inputs A¡A¸ and B¡Bo and output P3P2P¡Po with the
subscript 1 and 3 used for the most significant bit of the input and output respectively is given in
Table 1:
Table 1: Truth table for binary multiplier (inputs A1A9, B¡B, and outputs P3P2P¡Po)
Output
A1
Ao
B1
Во
P3
P2
P1
Po
value in
decimal
1
1
1
1
1
1
1
1
1
1
1
1
Transcribed Image Text:The truth table for the binary multiplier with inputs A¡A¸ and B¡Bo and output P3P2P¡Po with the subscript 1 and 3 used for the most significant bit of the input and output respectively is given in Table 1: Table 1: Truth table for binary multiplier (inputs A1A9, B¡B, and outputs P3P2P¡Po) Output A1 Ao B1 Во P3 P2 P1 Po value in decimal 1 1 1 1 1 1 1 1 1 1 1 1
Table 1: Truth table for binary multiplier (inputs A¡A9, B¡B0, and outputs P3P2P¡Po)
Output
value in
A1
Ao
BỊ
Во
P3
P2
P1
Ро
decimal
1
1
1
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
2.
Transcribed Image Text:Table 1: Truth table for binary multiplier (inputs A¡A9, B¡B0, and outputs P3P2P¡Po) Output value in A1 Ao BỊ Во P3 P2 P1 Ро decimal 1 1 1 1 1 3 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 9 2.
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