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Binary 5 digits

What is the base 10 equivalent of the highest 5 digit binary number?

The highest 5 digit binary number is 11111, which is followed by 100000 = 2^5. 11111 is therefore 2^5 - 1 or 31. Alternatively you can add up the place values for each of the 1's: 16+8+4+2+1=31.

Comments


Vanessa Vengco

I agree with alphautk. I think the answer is 31.

  

Heather Moore

Yup, Thanks :)


Adonis

31


alphautk

I'm not sure if I'm doing this wrong, but shouldn't the answer be 31? binary 100000 = 2^5 and binary 11111 = 2^4 + 2^3 + 2^2 + 2^1 + 2^0 = 16+8+4+2+1 = 31 or did I miss something?

  

Heather Moore

Whoops, did the math for 6 digits while writing 5. 2^5 is the first 6 digit number in binary, not 2^6. Thanks!


Sumit Jha

31


Sankhadeep

31

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Submitted by
Heather Moore
over 4 years ago
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Difficulty 2.0 ?

Tags
mathematics binary number systems


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