Question

Convert the following into decimals (10101111)2

Answer 1

Answer:

175

Explanation:

Answer 2

Answer:

175

Explanation:

Step 1: Write down the binary number:

10101111

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

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

Step 3: Solve the powers:

1x128 + 0x64 + 1x32 + 0x16 + 1x8 + 1x4 + 1x2 + 1x1 = 128 + 0 + 32 + 0 + 8 + 4 + 2 + 1

Step 4: Add up the numbers written above:

128 + 0 + 32 + 0 + 8 + 4 + 2 + 1 = 175.

So, 175 is the decimal equivalent of the binary number 10101111.

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