Question

Convert the following Binary Numbers into Decimal Numbers.
a.101011​

Answer 1

Answer:

(101011)2 = (43)10

Step by step solution

Step 1: Write down the binary number:

101011

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

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

Step 3: Solve the powers:

1x32 + 0x16 + 1x8 + 0x4 + 1x2 + 1x1 = 32 + 0 + 8 + 0 + 2 + 1

Step 4: Add up the numbers written above:

32 + 0 + 8 + 0 + 2 + 1 = 43.

So, 43 is the decimal equivalent of the binary number 101011.

Explanation:

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Answer 2

Answer:

Step 1: Write down the binary number:

101011

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

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

Step 3: Solve the powers:

1x32 + 0x16 + 1x8 + 0x4 + 1x2 + 1x1 = 32 + 0 + 8 + 0 + 2 + 1

Step 4: Add up the numbers written above:

32 + 0 + 8 + 0 + 2 + 1 = 43.

So, 43 is the decimal equivalent of the binary number 101011.