Addition and Subtraction using 2's Complement Arithmetic | 2s Complement Addition and Subtraction

About this video

• Video Title: Addition and Subtraction using 2's Complement Arithmetic | 2s Complement Addition and Subtraction
• Channel: ALL ABOUT ELECTRONICS
• Speakers: None explicitly named
• Duration: 00:23:42

Overview

This video explains how to perform addition and subtraction of signed binary numbers using 2's complement arithmetic. It covers various cases, including adding positive and negative numbers, and demonstrates how to handle potential overflows within the 2's complement representation range.

Key takeaways

• 2's Complement Addition: Similar to unsigned binary addition. Any carry-out from the most significant bit is ignored.
• Overflow in Addition: Occurs when the result of adding two positive numbers exceeds the maximum representable positive number, or when adding two negative numbers results in a number less than the minimum representable negative number. This can be detected by observing the sign bits of the operands and the result.
• 2's Complement Subtraction: Performed by adding the minuend to the 2's complement of the subtrahend.
• Range of Representation: For n-bit 2's complement, the range is from -2^(n-1) to 2^(n-1) - 1. For 5 bits, this is -16 to +15.
• Handling Subtraction: The process involves converting the subtrahend to its 2's complement and then performing addition.