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Logic Gates: Full Adders and Subtractors
- Logic gates are fundamental building blocks in digital electronics that are responsible for performing basic logical functions on binary inputs (0s and 1s).
- Modern logic gates are composed of transistors, which act as tiny switches that can be turned on or off to represent binary values (0 or 1).
- Logic gates manipulate binary signals using transistors. Transistors act to form the basis of all the logic gates by acting as switches that redirect signal routes based on whether the component receives a positive signal.
- Addition is the most basic of arithmetic operations, so if we want to build a computer, we must first know how to build something that adds two numbers together.
- A half subtractor is a digital logic circuit that performs binary subtraction of two single-bit binary numbers. It has two inputs, A and B, and two outputs, DIFFERENCE and BORROW.
- To add three binary numbers, we need two Half Adders and an OR gate
- The sum of two binary numbers is given by the output of an XOR gate, and the carry bit is given by the output of an AND gate.
- Types of logic gates include AND, OR, XOR, NOT, NAND, and NOR.
- Full Subtractor does the subtraction for multi-bit numbers. Full Adder does the addition for 1-bit numbers. So, basically we need 4 Full Adders for 4-bit addition
- Understanding logic gates is essential because it allows you to grasp the inner workings of all digital systems, from computers and smartphones to embedded controllers and complex automated systems.
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