Leah question posée dans Science & MathematicsMathematics · Il y a 1 mois

1. Convert 11110101 into decimal (2 marks). Show your working.?

18 réponses

Pertinence
  • Anonyme
    Il y a 4 semaines

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  • Anonyme
    Il y a 4 semaines

    Assuming it's trinary, 6561 - 27 - 3 = 6531

  • david
    Lv 7
    Il y a 1 mois

    Assuming that this is a base 2 number

    ....1 ....  1 ...... 1 ..... 1  0  1  0  1 

    = 2^7 + 2^6 + 2^5 + 2^4+ 0*2^3+ 2^2+ 0*2^1 + 2^0

    = 128 + 64 + 32 + 16 + 0 + 4 + 0 + 1

    = 245

  • Il y a 1 mois

    245              

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  • Il y a 1 mois

    Hi,

    A simple way to do it is just to write the powers of 2 and add the results.

    It’s easier to start from the right.

    1*2^0 +0*2^1+1*2^2 +1*2^3 +0*2^4 +1*2^5 +1*2^6 +2*2^7 

    If you’re just looking for an answer, rather than all the math, you just do the

    Following:

    128+64 +32+16 +0 +4 +0 +1

    Then add them. That equals 245

    This answer is correct. I checked on a program I wrote for my TI-84 Calculator.

    formeng

  • Il y a 1 mois

    255 - 8 - 2 = 245

  • Il y a 1 mois

    11110101(binary) = 128 + 64 + 32 + 16 + 4 + 1 = 245(decimal)

  • Il y a 1 mois

    1 x 2^7 = 128

    1 x 2^6 = 64

    1 x 2^5 = 32

    1 x 2^4 = 16

    0 x 2^3 = 0

    1 x 2^2 = 4

    0 x 2^1 = 0

    1 x 2^0 = 1

    ...........----------

    .............245 Answer//

  • Il y a 1 mois

    Looks like binary to me.  The simplest way to convert binary to decimal is to start with a decimal result of zero, then for each bit of the binary number from left to right simply double the previous result and add the bit value (zero or one) to get a new result.

    1 + 2*0 = 1

    1 + 2*1 = 3

    1 + 2*3 = 7

    1 + 2*7 = 15

    0 + 2*15 = 30

    1 + 2*30 = 61

    0 + 2*61 = 122

    1 + 2*122 = 245

    There are fewer steps if you know all the powers of 2 involved in decimal.  Those are the place values in a binary number, from right to left: (1, 2, 4, 8, 16, ...).  So:

    11110101₂ = 1 + 4 + 16 + 32 + 64 + 128 = 245

  • Pope
    Lv 7
    Il y a 1 mois

    For all we know, it may be in decimal already. What is the base?

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