It is necessary to multiply two binary number each two bits long in order to form their product in binary.let the two number be represented by $ a_{1},a_{0}$and $b_{1},b_{0}$ where subscript $0$ denotes least significant bit.
a)determine the number of output line require.
b)find the simplified boolean expression for it.
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i simply multiply the both number but my answer is incorrect.
$a_1a_0 *|b_1b_0 (MSB)$
$w=a_1b_1$
$x=a_1b_0+a_0b_1$
$y=a_0b_0(LSB)$