Question

convert binary number (1010101)² into decimal number​

Answer 1

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Explanation:

Step by step solution

Step 1: Write down the binary number:

1010101

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

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

Step 3: Solve the powers:

1x64 + 0x32 + 1x16 + 0x8 + 1x4 + 0x2 + 1x1 = 64 + 0 + 16 + 0 + 4 + 0 + 1

Step 4: Add up the numbers written above:

64 + 0 + 16 + 0 + 4 + 0 + 1 = 85. This is the decimal equivalent of the binary number 1010101.

Answer 2

Answer:

Step by step solution

Step by step solutionStep 1: Write down the binary number:1010101Step 2: Multiply each digit of the binary number by the corresponding power of two:1x26 + 0x25 + 1x24 + 0x23 + 1x22 + 0x21 + 1x20Step 3: Solve the powers:1x64 + 0x32 + 1x16 + 0x8 + 1x4 + 0x2 + 1x1 = 64 + 0 + 16 + 0 + 4 + 0 + 1Step 4: Add up the numbers written above:64 + 0 + 16 + 0 + 4 + 0 + 1 = 85. This is the decimal equivalent of the binary number 1010101.

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