Write the number 1100 and two ways
Two ways of what?
1100
550*2?
275*4?
11*100?
2200/2 ?
Or --
eleven hundred
one thousand, one hundred
To write the number 1100 in two different ways, you can use the decimal system and the binary system:
1. Decimal representation: 1100
In the decimal system, each digit can take values from 0 to 9, and the place value increases by a factor of 10 as you move from right to left. So, the number 1100 in this system means:
1 * 10^3 + 1 * 10^2 + 0 * 10^1 + 0 * 10^0 = 1000 + 100 + 0 + 0 = 1100
2. Binary representation: 10001001100
In the binary system, each digit can take values of either 0 or 1, and the place value increases by a factor of 2 as you move from right to left. To convert decimal number 1100 into binary, you'll need to repeatedly divide the number by 2 until the quotient becomes 0. The remainders from each division will give you the binary digits. Here is the step-by-step calculation:
1100 divided by 2 equals 550 with a remainder of 0.
550 divided by 2 equals 275 with a remainder of 0.
275 divided by 2 equals 137 with a remainder of 1.
137 divided by 2 equals 68 with a remainder of 1.
68 divided by 2 equals 34 with a remainder of 0.
34 divided by 2 equals 17 with a remainder of 0.
17 divided by 2 equals 8 with a remainder of 1.
8 divided by 2 equals 4 with a remainder of 0.
4 divided by 2 equals 2 with a remainder of 0.
2 divided by 2 equals 1 with a remainder of 0.
1 divided by 2 equals 0 with a remainder of 1.
Reading the remainders from bottom to top gives us the binary representation of 1100 as 10001001100.