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Half Adder :-

The logic circuit which performs the addition of 2 bits is called Half- Adder. It is a kind of combinational circuit. It contains two binary inputs "augend" and "addend" and two binary outputs Sum and Carry.

Truth table:

Design of Half-Adder:

*formed using tools in simulator.

Full Adder :-

Full Adder is an arithmetic circuit which performs the arithmetic sum of 3-input bits. It consists of 3 inputs and 2 outputs. One additional input is the Carry bit (C) in which represents the carry from the previous significant position.

Truth table:

*C-Out represents carry output.

Design of Full-Adder using above formed Half-Adder:

*formed using tools in simulator.

2-Bit Comparator:-

A 2-bit comparator compares two binary numbers, each of two bits and produces their relation such as one number is equal or greater than or less than the other.

Block Diagram:-

The first number A is designated as A = A1A0 and the second number is designated as B = B1B0. This comparator produces three outputs as G (G = 1 if A>B), E (E = 1, if A = B) and L (L = 1 if A<B).

Truth Table:-

K-Map:-

*Solving the equations I got:-

Diagram:-

*formed using simulator provided

Logic Gates and their Corresponding Truth Table

Verification and interpretation of truth tables for logic gates helps in understanding their behavior and functionality within digital circuits. Here's a description of the truth tables for various logic gates commonly used, including AND, OR, NOT, NAND, NOR, XOR (Ex-OR), and XNOR (Ex-NOR), along with their interpretations.