Yes, 1 multiplied by 0 is equal to 0 in binary.
Binary Multiplication Basics
Binary multiplication follows the same fundamental principles as decimal multiplication, but it's much simpler because you only need to remember these rules:
- 0 x 0 = 0
- 0 x 1 = 0
- 1 x 0 = 0
- 1 x 1 = 1
Applying the Rule
In the case of 1 multiplied by 0, the rule 1 × 0 = 0
directly applies. This is true regardless of whether we're working with decimal or binary numbers. The multiplicative property of zero states that any number multiplied by zero equals zero.
Therefore, 1 multiplied by 0 equals 0 in binary, just as it does in the decimal system.