10011 2
x 111 2
6
To perform binary multiplication, you can use the following steps:
1. Write the two binary numbers vertically, one below the other, aligning them by place value (ones, twos, fours, eights, etc.):
```
10011 <- First number
x 111 <- Second number
------
```
2. Start by multiplying the ones place of the second number (111) with each digit of the first number (10011), from right to left.
```
10011 <- First number
x 111 <- Second number
------
10011
```
3. Shift the second number one place to the left (multiplies by 2), and perform the multiplication again:
```
10011 <- First number
x 111 <- Second number
------
10011
10011
```
4. Repeat this process, shifting the second number one place to the left after each multiplication:
```
10011 <- First number
x 111 <- Second number
------
10011
10011
10011
------
```
5. Add up all the partial products:
```
10011 <- First number
x 111 <- Second number
------
10011
10011
+ 100110
------
```
6. The final result is the sum of all the partial products:
```
10011 <- First number
x 111 <- Second number
------
1110011 <- Product
------
```
Therefore, the product of 10011 (base 2) and 111 (base 2) is 1110011 (base 2).