Question

Write the following expression with as few symbols as possible, using the notational conventions:

x+((y* (z')) +t), x*((x+(y))+z)​

Answer 1

The simplified expressions are (x + y·z' + t) and x·(x + y' + z) respectively.

Explanation:

The expressions provided are:

`(i)\ x+((y* (z')) +t)\\\\(ii)\ x*((x+(y'))+z)`

(i)

Simplify the first expression with as few symbols as possible:

`x+((y* (z')) +t)=x+(yz'+t)`

`=x+yz'+t`

(ii)

Simplify the second expression with as few symbols as possible:

`x*((x+(y'))+z)=x* ((x+y')+z)`

`=x (x+y'+z)`

Thus, the simplified expressions are (x + y·z' + t) and x·(x + y' + z) respectively.