**3.1** Verify the following Boolean algebraic equations.

**3.2** Verify the following Boolean algebraic equation using truth tables.

**3.3** Using algebraic manipulation, simplify the logic functions described in Figure P3.3(a) to (d) and draw their corresponding logic circuits.

**3.4** Find the logic function(s) for the logic circuits in Figure P3.4(a) to (d).

**3.5** Using algebraic manipulations, simplify the following logic functions and draw their corresponding logic circuits.

**3.6** Write the truth tables, simplify the logic functions *f(x,y,z)*, and draw the logic circuits described by the timing diagrams in Figure P3.6(a) to (d). Ignore propagation delays.

**3.7** Using algebraic manipulations, simplify the following implicit SOP logic functions and draw their ...

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