Question

Convert this binary to decimal number: 10001001² and how?​

Answer 1

Answer:

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Explanation:

(10001001)2 = (137)10

Step by step solution

Step 1: Write down the binary number:

10001001

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

1x27 + 0x26 + 0x25 + 0x24 + 1x23 + 0x22 + 0x21 + 1x20

Step 3: Solve the powers:

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

Step 4: Add up the numbers written above:

128 + 0 + 0 + 0 + 8 + 0 + 0 + 1 = 137. This is the decimal equivalent of the binary number 10001001.

Answer 2

Answer:

128 + 0 + 0 + 0 + 8 + 0 + 0 + 1 = 137. So, 137 is the decimal equivalent of the binary number 10001001.

Explanation:

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