Question

Converr the following binary numbers into their equivalent decimal number (101)²​

Answer 1

Answer:

(101)2 = (5)10

Step by step solution

Step 1: Write down the binary number:

101

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x22 + 0x21 + 1x20

Step 3: Solve the powers:

1x4 + 0x2 + 1x1 = 4 + 0 + 1

Step 4: Add up the numbers written above:

4 + 0 + 1 = 5. This is the decimal equivalent of the binary number 101.