1010 as a decimal

Answer

1010 in binary can be written as 10 in decimal. Each position in a binary number represents a power of 2, starting from 2^0 on the right.

Explanation

To convert 1010 from binary to decimal, we will use the positional values of binary digits:

Step 1: Write down the binary number and note the positions, starting from right to left with powers of 2.

Step 2: Identify the places: 1 (2^3), 0 (2^2), 1 (2^1), and 0 (2^0).

Step 3: Calculate the value: (1×2^3) + (0×2^2) + (1×2^1) + (0×2^0) = 8 + 0 + 2 + 0

Step 4: Sum the results to get the decimal value: 8 + 2 = 10.

Thus, the binary number 1010 equals 10 in decimal.

• Binary Number: A number expressed in the base-2 numeral system, using only 0 and 1.
   
• Decimal Number: A number expressed in the base-10 numeral system, which is the standard system for denoting integer and non-integer numbers.
   
• Positional Value: The value of a digit in a number, determined by its position and the base of the numeral system.
   
• Power of Two: A value calculated by raising 2 to an exponent, representing the positional values in binary numbers.
   
• Conversion: The process of changing a number from one numeral system to another.