Question: a) Derive a truth table for a function that multiplies two 2-bit binary numbers, (a 1 a0) 2 and (b 1 b 0 ) 2

a) Derive a truth table for a function that multiplies two 2-bit binary numbers, (a1a0)2 and (b1b0)2 .

The product should be a 4-bit number (p3p2p1p0)2, where a1, b1, and p3 are the MSBs.

Using PLA to implement the function, determine the minimum number of AND (up to four-input) gates required for this function.

b) Derive the logic functions (F1 and F2) of the PLA shown below.

Inputs OR Array AND Array 1 0 F2 F1 Outputs



 

Inputs b a OR Array AND Array 1 F2 F1 Outputs

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