What is the product of 1011 and 1001 using binary multiplication?

Answer 1

To multiply the binary numbers 1011 (which is 11 in decimal) and 1001 (which is 9 in decimal), we perform binary multiplication similar to decimal multiplication. The steps involve shifting and adding based on the bits of the second number:

1. 1011
2. 0000 (this is 1011 shifted left by 0, as the last digit of 1001 is 1)
3. 1011 (this is 1011 shifted left by 1, as the second digit of 1001 is 0, so we add nothing)
4. 0000 (this is 1011 shifted left by 2, as the third digit of 1001 is 0, so we add nothing)
5. 1011 (this is 1011 shifted left by 3, as the first digit of 1001 is 1)

Adding these together gives us 10011111 in binary. Therefore, the product of 1011 and 1001 is 10011111, which is 99 in decimal.