Final answer:
To convert a decimal number to its binary equivalent, divide the decimal number by 2 and read the remainders in reverse order. In this case, 10 in decimal is equal to 1010 in binary.
Step-by-step explanation:
To convert a decimal number to its binary equivalent, we can use the division-by-2 method. Here's how it works:
- Divide the decimal number by 2, noting the remainder.
- Continue dividing the quotient by 2 until you reach 0, noting the remainders at each step.
- The binary equivalent is obtained by reading the remainders in reverse order.
For example, to convert 10 to binary:
- 10 ÷ 2 = 5 remainder 0
- 5 ÷ 2 = 2 remainder 1
- 2 ÷ 2 = 1 remainder 0
- 1 ÷ 2 = 0 remainder 1
Reading the remainders in reverse order gives us 1010, which is the binary equivalent of 10.