F wxyz m0 1 2 3 4 6 8 9 10 11 12 14 For each of the boole

F = ? _w,x,y,z m(0, 1, 2, 3, 4, 6, 8, 9, 10, 11, 12, 14) .

For each of the boolean functions above, design the combinational circuit using:

(a) Decoder and OR gates.

(b) Decoder and NOR gates.

(c) 8x1 Multiplexer and logic gates.

(d) 4x1 Multiplexer and logic gates.

(e) 2x1 Multiplexer and logic gates.

Solution

Answer:-

(b) Decoder and NOR gates.

(c) 8x1 Multiplexer and logic gates.

Explanation :-

Digital logic devices are the circuits that electronically perform logic operations on binary variables. The binary information is represented by high and low voltage levels, which the device processes electronically.

The devices that perform the simplest of the logic operations (such as AND, OR, NAND, etc.) are called gates. For example, an AND gate electronically computes the AND of the voltage encoded binary signals appearing at its inputs and presents the voltage encoded result at its output.