Question

Convert binary to decimal 101100 10001101

Answer 1

Answer:

10001101 ➡141,

Step 1: Write down the binary number:

10001101

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

1x2^7 + 0x2^6 + 0x2^5 + 0x2^4 + 1x2^3 + 1x2^2 + 0x2^1 + 1x2o0

Step 3: Solve the powers:

1x128 + 0x64 + 0x32 + 0x16 + 1x8 + 1x4 + 0x2 + 1x1 = 128 + 0 + 0 + 0 + 8 + 4 + 0 + 1

Step 4: Add up the numbers written above:

128 + 0 + 0 + 0 + 8 + 4 + 0 + 1 = 141. This is the decimal equivalent of the binary number 10001101.

101100 ➡44,

Step 1: Write down the binary number:

101100

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

1x2^5 + 0x2^4 + 1x2^3 + 1x2^2 + 0x2^1 + 0x2^0

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