Binary Subtraction Using 2's Compliment 2 | Number System and Code | Digital Circuit Design

TL;DR

Learn how to perform binary subtraction using the two's complement method with a step-by-step example.

Transcript

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Key Insights

• ❓ The two's complement method simplifies binary subtraction by converting it into addition with the two's complement of the subtrahend.
• 🫦 It is important to ensure that the minuend and subtrahend have the same number of bits before performing the subtraction.
• 🤑 The two's complement of a binary number is found by taking the ones complement and adding 1 to the least significant bit.
• 🙈 When performing the addition of the minuend and the two's complement of the subtrahend, any carry generated should be ignored.

Questions & Answers

Q: What is the aim of binary subtraction using the two's complement method?

The aim is to subtract binary numbers by adding the two's complement of the subtrahend to the minuend, simplifying the subtraction process.

Q: What is the first step in using the two's complement method for binary subtraction?

The first step is to write down the binary representation of both the minuend and the subtrahend, making sure they have the same number of bits.

Q: How do you calculate the two's complement of a binary number?

To calculate the two's complement, first find the ones complement by flipping all the bits. Then add 1 to the least significant bit.

Q: How do you perform the actual subtraction using the two's complement method?

Perform a binary addition between the minuend and the two's complement of the subtrahend. Ignore any carry that may come from the addition.

Summary & Key Takeaways

• This video explains how to perform binary subtraction using the two's complement method.

• The example given is 9 minus 5, which is represented in binary as 1001 - 0101.

• The two's complement of 5 is calculated as 1011, which is then added to 9, resulting in 10010. The final answer is 4.