Question

how to convert1101 binary number into decimal number

Answer 1

(1101)2 = (13)10

Step by step solution

Step 1: Write down the binary number:

1101

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

1x23 + 1x22 + 0x21 + 1x20

Step 3: Solve the powers:

1x8 + 1x4 + 0x2 + 1x1 = 8 + 4 + 0 + 1

Step 4: Add up the numbers written above:

8 + 4 + 0 + 1 = 13. This is the decimal equivalent of the binary number 1101.

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