Convert it! (Problem 4)

What is the number 10110 1 2 101101_2 (in base 2) when converted to base 10?



The answer is 45.

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3 solutions

Chew-Seong Cheong
Mar 22, 2020

10110 1 2 = ( 2 5 + 2 3 + 2 2 + 2 0 ) 10 = ( 32 + 8 + 4 + 1 ) 10 = 45 10 \begin{aligned} 101101_2 & = \left(2^5 + 2^3 + 2^2+2^0\right)_{10} \\ & = (32+8+4+1)_{10} \\ & = \boxed{45}_{10} \end{aligned}

10110 1 2 = ( 1 × 2 0 + 0 × 2 1 + 1 × 2 2 + 1 × 2 3 + 0 × 2 4 + 1 × 2 5 ) 10 = ( 1 + 4 + 8 + 32 ) 10 = ( 45 ) 10 101101_2=(1\times 2^0+0\times 2^1+1\times 2^2+1\times 2^3+0\times 2^4+1\times 2^5)_{10}=(1+4+8+32)_{10}=\boxed {(45)_{10}} .

B D
Mar 21, 2020

Relevant wiki Binary numbers

101101 101101 in Base 2 converted to Base 10 is 45 \boxed{45} .

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