Convert it! (Problem 5)

What is the number 110010 1 2 1100101_2 (in base 2) when converted to base 10?



The answer is 101.

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2 solutions

Chew-Seong Cheong
Mar 22, 2020

110010 1 2 = ( 2 6 + 2 5 + 2 2 + 2 0 ) 10 = ( 64 + 32 + 4 + 1 ) 10 = 101 10 \begin{aligned} 1100101_2 & = \left(2^6 + 2^5 + 2^2+2^0\right)_{10} \\ & = (64+32+4+1)_{10} \\ & = \boxed{101}_{10} \end{aligned}

B D
Mar 22, 2020

Relevant wiki Binary numbers

1100101 1100101 in Base 2 converted to Base 10 is 1 × 1 + 2 × 0 + 4 × 1 + 8 × 0 + 16 × 0 + 32 × 1 + 64 × 1 = 101 1 \times 1 + 2 \times 0 + 4 \times 1 + 8 \times 0 + 16 \times 0 + 32 \times 1 + 64 \times 1 = \boxed{101} .

Maybe try experimenting with other number bases. These kinds of problems can be challenging and fun.

Deva Craig - 1 year, 2 months ago

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Ok. Thanks for the idea!

B D - 1 year, 2 months ago

The correct answer is 101 101 and not 29 29 .

A Former Brilliant Member - 1 year, 2 months ago

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Oh! Silly me. Thanks for the correction.

B D - 1 year, 2 months ago

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