1. The Tows complement of a binary number is equivalent to taking the ones complement then adding one. Design a combinational circuit to generate the 2s complement of a 4-bit binary input. The input is the binary numbers ranges from 0000 to 1111. The output is the 4-bit 2s complement of the input binary number.

(a) Build a truth table of the system

(b) Get the simplified Boolean expression using KMAP

(c) Draw the circuit diagram

(d) Draw your circuit using XOR and OR gates only.

(e) Expand your design for 5 bits binary input