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Convert the following binary numbers to decimal numbers. (Show your work) a. 110110 b. 100111 c. 101101

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  1. 22 July, 19:45
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    a. 110110 = 45

    b. 100111=39

    c. 101101=45

    Explanation:

    We can convert a binary number to a decimal number by multiplying the respective 1's and zeroes to the respective powers of 2.

    for 110110

    1x2⁵+1x2⁴+0x2³+1x2²+1x2¹+0x2⁰

    =32+16+4+2

    =54.

    for 100111

    1x2⁵+0x2⁴+0x2³+1x2²+1x2¹+1x2⁰

    =32+4+2+1

    =39

    for 101101

    1x2⁵+0x2⁴+1x2³+1x2²+0x2¹+1x2⁰

    =32+8+4+1

    =45
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