Question

Which of the following is the decimal equivalent of binary number (1111011)²​

Answer 1

Step by step solution

64 + 32 + 16 + 8 + 0 + 2 + 1 = 123. This is the decimal equivalent of the binary number 1111011.

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Answer 2

Answer:

(1111011)2 = (123)10

Step by step solution

Step 1: Write down the binary number:

1111011

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

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

Step 3: Solve the powers:

1x64 + 1x32 + 1x16 + 1x8 + 0x4 + 1x2 + 1x1 = 64 + 32 + 16 + 8 + 0 + 2 + 1

Step 4: Add up the numbers written above:

64 + 32 + 16 + 8 + 0 + 2 + 1 = 123. This is the decimal equivalent of the binary number 1111011.