75

Binary Number: 1001011

Binary to Decimal conversion : 1 x 2^6 + 0 x 2^5 + 0 x 2^4 + 1 x 2^3 + 0 x 2^2 + 1 x 2^1 + 1 x 2^0

1 x 64 + 0 x 32 + 0 x 16 + 1 x 8 + 0 x 4 + 1 x 2 + 1 x 1 = 64 + 0 + 0 + 8 + 0 + 2 + 1 = 75

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There are some online calculators like decimal-to-binary.com/decimal-to-binary-converter-online.html are available. But for exam you cannot use it. So it is better to study this simple step:

10010112 = 1∙2^6+0∙2^5+0∙2^4+1∙2^3+0∙2^2+1∙2^1+1∙2^0 = 64+0+0+8+0+2+1 = 75.

I hope this will help you.

Regards,

Dina Haines

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Step 1: Write down the binary number:

1001011

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

1x2^{6} + 0x2^{5} + 0x2^{4} + 1x2^{3} + 0x2^{2} + 1x2^{1} + 1x2^{0}

** Step 3:** Solve the powers:

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

**Step 4:** Add up the numbers written above:

64 + 0 + 0 + 8 + 0 + 2 + 1 = 75. This is the decimal equivalent of the binary number 1001011.

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