Question

Conversion of binary number 101100 into decimal number is?

Answer 1

Answer:

(101100)2 = (44)10

Step by step solution

Step 1: Write down the binary number:

101100

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

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

Step 3: Solve the powers:

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

Step 4: Add up the numbers written above:

32 + 0 + 8 + 4 + 0 + 0 = 44. This is the decimal equivalent of the binary number 101100.

Answer 2

Step-by-step explanation:

Step 1: Write down the binary number:

101100

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

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

Step 3: Solve the powers:

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

Step 4: Add up the numbers written above:

32 + 0 + 8 + 4 + 0 + 0 = 44. This is the decimal equivalent of the binary number 101100.