Answer :
In order to convert binary to decimal, we have to use the place value system.
The place value of a binary system is exactly the same as that of a decimal system, i.e., the rightmost bit in a binary system is 2¹ and the value of each bit to the left of this doubles.
For instance:In a binary number 101, the rightmost bit is 1, so it has the value 2¹ = 1. The next bit to the left is also 1, but it is worth 2² = 4. The next bit to the left is 0, so it is worth 0x2³ = 0.
When you add up the values of each bit, you get:
[tex]1x2¹ + 0x2² + 1x2³ = 1 + 0 + 8 = 9 ,[/tex] the decimal equivalent of the binary number 101 is 9.Here's an example of how to convert binary 101 to decimal:[tex]101₂ = 1x2² + 0x2¹ + 1x2º = 4 + 0 + 1 = 5.[/tex]
The decimal equivalent of binary number 101 is 5.I hope this explanation helps!
To know more about decimal visit:
https://brainly.com/question/30958821
#SPJ11
Final answer:
The binary number 101 converts to the decimal number 5 by applying the place values of binary digits which are powers of 2. Each digit in the binary number contributes towards the sum based on its place value.
Explanation:
To convert the binary number 101 to decimal, we use the place values of binary digits, which are powers of 2. Starting from the right, the first digit represents 20, the second digit represents 21, and so on.
For the binary number 101, the calculation is (1 × 22) + (0 × 21) + (1 × 20) = (4) + (0) + (1) = 5.
Therefore, the decimal equivalent of the binary number 101 is 5.
