Question

Convert binary number 101101 to decimal number​

Answer 1

Answer:

(101101)2 = (45)10

Explanation:

Step by step solution

Step 1: Write down the binary number:

101101

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

1x25 + 0x24 + 1x23 + 1x22 + 0x21 + 1x20

Step 3: Solve the powers:

1x32 + 0x16 + 1x8 + 1x4 + 0x2 + 1x1 = 32 + 0 + 8 + 4 + 0 + 1

Step 4: Add up the numbers written above:

32 + 0 + 8 + 4 + 0 + 1 = 45.

So, 45 is the decimal equivalent of the binary number 101101.

Answer 2

Answer:

45

Explanation:

Step 1: Write down the binary number:

101101

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

1x25 + 0x24 + 1x23 + 1x22 + 0x21 + 1x20

Step 3: Solve the powers:

1x32 + 0x16 + 1x8 + 1x4 + 0x2 + 1x1 = 32 + 0 + 8 + 4 + 0 + 1

Step 4: Add up the numbers written above:

32 + 0 + 8 + 4 + 0 + 1 = 45.

So, 45 is the decimal equivalent of the binary number 101101.