Question

How does binary multiplication work (hardware)?

Answer 1

Binary multiplication in hardware involves performing multiplication operations on binary numbers using logic gates or arithmetic circuits.

Step-by-step explanation:

Binary multiplication in hardware involves performing multiplication operations on binary numbers using logic gates or arithmetic circuits. It follows the same principles as decimal multiplication, but with the binary number system.

To multiply two binary numbers, you can use the bitwise AND and bitwise OR operations. Each bit in the two numbers is multiplied together, and the results are added based on their positions. If both bits are 1, the result is 1. If either bit is 0, the result is 0.

For example, to multiply 1101 and 1011:

1. The right-most bits are multiplied: 1 * 1 = 1.
2. The next bits are multiplied and shifted one position to the left: 0 * 1 = 0, and the result is shifted to the left: 0.
3. Repeat step 2 for the remaining bits, shifting each result one position to the left.
4. Add up all the partial results: 10001.

The result is the binary representation of the product.