To find the product of 2310 and 1112, we can simply multiply the two numbers together.
2310 * 1112 = 2,574,120
The product in base 10 is 2,574,120.
To convert this number to base 2, we can use the division by 2 method.
First, let's divide 2,574,120 by 2:
2,574,120 ÷ 2 = 1,287,060 with a remainder of 0
Next, let's divide 1,287,060 by 2:
1,287,060 ÷ 2 = 643,530 with a remainder of 0
We continue this process until we reach 0.
643,530 ÷ 2 = 321,765 with a remainder of 0
321,765 ÷ 2 = 160,882 with a remainder of 1
160,882 ÷ 2 = 80,441 with a remainder of 0
80,441 ÷ 2 = 40,220 with a remainder of 1
40,220 ÷ 2 = 20,110 with a remainder of 0
20,110 ÷ 2 = 10,055 with a remainder of 0
10,055 ÷ 2 = 5,027 with a remainder of 1
5,027 ÷ 2 = 2,513 with a remainder of 1
2,513 ÷ 2 = 1,256 with a remainder of 1
1,256 ÷ 2 = 628 with a remainder of 0
628 ÷ 2 = 314 with a remainder of 0
314 ÷ 2 = 157 with a remainder of 0
157 ÷ 2 = 78 with a remainder of 1
78 ÷ 2 = 39 with a remainder of 0
39 ÷ 2 = 19 with a remainder of 1
19 ÷ 2 = 9 with a remainder of 1
9 ÷ 2 = 4 with a remainder of 1
4 ÷ 2 = 2 with a remainder of 0
2 ÷ 2 = 1 with a remainder of 0
1 ÷ 2 = 0 with a remainder of 1
The remainders from bottom to top give us the base 2 representation of the product:
2,574,120 in base 2 is 1001110110100111011000
Find the product of 2310 and 1112 and give the answer in both base 10 and base 2.
1 answer
1 answer