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Does anyone know how to convert the number 100 to a binary number?

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  • 10 years ago
    Favorite Answer

    Although these people have given you the answer, none so far actually told you how.

    Since binary is base 2, you have to divide a base 10 number (standard numbers for human use) by the highest power of 2 and then descend until you reach 2^0 to get your binary number.

    Note: a 1 means that number is being "used" and a zero indicates it is not. I'll show you in a second what I mean.

    Evaluating 100, we know that it is between 2^6 (64) and 2^7 (128). We can't go higher than the number, so we will use 2^6. That means our binary number will have 7 digits. (example: XXX XXXX)

    The 1st slot is 2^6. We know that this number works so it is a 1. We now have (1XX XXXX)

    We subtract 2^6 from 100 with a result of 36.

    Now we go to the 2^5 digit. 2^5 is 32. We know that 32 is less than 36 so this binary digit will also be 1. We now have (11X XXXX) with 4 remaining.

    Next is 2^4 (16). 16 is bigger than our remaining 4 so this binary digit is a zero. (110 XXXX) Note that we now have the first three number completed. The last 4 could be any combination of zeroes or ones.

    Now 2^3 (8). 8 is also bigger than our remaining 4 so this is also a zero. (110 0XXX)

    Now 2^2 (4). 4 is equal to our remaining 4. This number works. The 5th binary digit is a 1. (110 01XX) Our remainder is zero. This means that the trailing digits will be zeroes. DO NOT TAKE THIS TO MEAN THEY CAN BE FORGOTTEN. That would be equivalent to saying 1000 could be represented as 1 since the trailing digits are zeroes.

    I'll continue though, to show you how the rest of the steps would've worked. 2^1 is 2. 2 is higher than our remainder of zero so the 6th digit is 0. (110 010X)

    Finally, 2^0 is 1. 1 is higher than our remainder of 0 so the last digit is a zero (110 0100)

    Sometimes, a leading zero will be shown (0110 0100) because binary digits are usually represented in sets of 4 digits. Either way is correct. Now you know HOW to derive any binary digit, though.

    Hope that helps!

  • Anonymous
    4 years ago

    each and each digit in a huge style is accelerated by applying a capability of its base. the capability used is set by applying the place the digit is interior the huge style. the 1st digit after the ingredient makes use of -a million with the aid of fact the capability, the subsequent digit makes use of -2 etc. changing from binary to base 10 is the least complicated. in basic terms sum up the powers of two for although places have ones in them. 11001100.a hundred and ten(b) = 2^8 + 2^7 + 2^4 + 2^3 + 2^(-a million) + 2^(-2) = 408.75 a hundred.50 = 10^3 + 5*10^(-a million) = a hundred + 5(a million/10) = a hundred + (a million/2) you are able to convert the full area and the decimal (fractional) area seperately then upload them at the same time. on account which you be attentive to the thank you to transform total numbers shall we in basic terms stick to the area after the ingredient. (a million/2) = 2^(-a million) so (a million/2) = 0.a million(b) That became into an ordinary one to be certain. What approximately If the fraction became into 11/sixteen. you need to discover the suited capability of two it rather is under than 11/sixteen. this could be a million/2 = 2^(-a million) 11/sixteen - a million/2 = 3/sixteen the suited capability of two under 3/sixteen is a million/8 = 2^(-3) 3/sixteen - a million/8 = a million/sixteen a million/sixteen = 2^(-4) So 5/8(d) = 0.1011(b) i'm hoping that helps!

  • 10 years ago

    100 in binary is 1 1 0 0 1 0 0.

    ^^^^^

    http://acc6.its.brooklyn.cuny.edu/~gurwitz/core5/n...

  • 10 years ago

    Yes.

    I go to www.google.com, and in the search bar I type:

    100 in binary

    Then I hit enter.

    At the top of the page, it now says:

    100 = 0b1100100

    Problem solved.

    Or did you need a different way to do it? If you have Windows, I could explain how to do it using calc......

    Or did you need a different way to do it?

    Do you have to write code to do it? What programming language?

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  • 10 years ago

    100=001100010011000000110000

    http://www.roubaixinteractive.com/PlayGround/Binar...

    Hope that helps:D

    Source(s): Internet, Computer knowledge
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