160 in binary is 10100000. Binary is a base-2 numeral system, which means that it uses two symbols, 0 and 1, to represent numbers. Each digit in a binary number represents a power of 2. The rightmost digit represents 2^0, the next digit represents 2^1, and so on. So, the binary number 10100000 represents the number 160.
To convert a decimal number to binary, you can use the following steps:
- Divide the decimal number by 2.
- Write down the remainder of the division.
- Continue dividing the quotient by 2 and writing down the remainders until the quotient is 0.
- The binary number is the sequence of remainders, read from right to left.
For example, to convert the decimal number 160 to binary, we would do the following:
160 / 2 = 80 with a remainder of 0
80 / 2 = 40 with a remainder of 0
40 / 2 = 20 with a remainder of 0
20 / 2 = 10 with a remainder of 0
10 / 2 = 5 with a remainder of 0
5 / 2 = 2 with a remainder of 1
2 / 2 = 1 with a remainder of 0
The binary number for 160 is therefore 10100000.
Binary numbers are used in many different fields, including computer science, mathematics, and engineering. They are also used in everyday life, such as when you use a barcode scanner at the grocery store.