Apy asked in Science & MathematicsMathematics · 1 decade ago

Convert 11100 (base 2) to base 10...can ne1 break this down step by step?

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  • 1 decade ago
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    Start from the right-most digit of the number/the ones place. Since you have a zero there, it's 2^0 * 0, which is 0.

    Move to the next digit. It's 2^1 * 0 = 0, because you have a 0 there again. Move to the next digit. 2^2 * 1 = 4

    2^3 * 1 = 8

    2^4 * 1 = 16

    Add all of your results up:

    16 + 8 + 4 + 0 + 0 = 28

    Source(s): Majoring in Computer Science.
  • 1 decade ago

    The right-most digit of a binary number represents the decimal number 1. As you move to the left, each digit is assigned a value of 2 times the previous digit's value, so from right to left, the digits represent: 1, 2, 4, 8, 16, 32, etc. For each digit that is a 1, add the representative value. For each digit that is a 0, disregard it.

    0 = 0

    0 = 0

    1 = 4

    1 = 8

    1= 16

    Add the values that are represented by 1:

    11100 base 2 = (0 + 0 + 4 + 8 + 16) base 10 = 28

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