Answer:
(10111)2 = (23)10
Step by step solution
Step 1: Write down the binary number:
10111
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1x24 + 0x23 + 1x22 + 1x21 + 1x20
Step 3: Solve the powers:
1x16 + 0x8 + 1x4 + 1x2 + 1x1 = 16 + 0 + 4 + 2 + 1
Step 4: Add up the numbers written above:
16 + 0 + 4 + 2 + 1 = 23.
So, 23 is the decimal equivalent of the binary number 10111.