Decoding Binary Number 1100011: What Base 10 Number Does it Represent?

[Stevedye56]

Homework Statement

In the binary number system 1100011 is the name for the largest 2 digit palindrome in base ten. What base 10 number does this binary number represent?

Homework Equations

None

The Attempt at a Solution

My question about this problem is the 2 digit part is ambiguous. Is the two digit imlplying only 2 different numbers OR is it implying two digits long? I know that 1100011=c=100 in roman numerals but 100 is not a palindrome.

I would also like to point out that this was a question given to a 6th grade math class. My friend and I are taking calculus and were confused by the problem. Any insight?

 

[Integral]

1100011 is odd, how could be equal to 100?

 

[Stevedye56]

1100011 in binary code represents the letter c, therefore in roman numerals c=100. But how could there be a palindrome in base 10? It would have to end in 0 wouldn't it?

 

[Stevedye56]

Ok we found it from last year. Apparently the answer to the question is 99, although when divided by 10 the result isn't a whole number.

 

[Integral]

As a binary (base 2) number 1100011 = 1*2⁶+1*2⁵ +0*2⁴ +0*2³+0*2²+1*2¹+1*2⁰ = 64+32+2+1 = 99.

You should be looking at the binary number system, not ascii characters.

although when divided by 10 the result isn't a whole number.

This statement makes me doubt your understanding of the question. What do you think "base 10" means?