Convert 99 in base 10 to base 2

Chemistry

ScanSolve AI Answer

Answer

9910=1100011299_{10} = 1100011_2

Step-by-step solution

8 steps

  1. Divide 99 by 2 and note the remainder.

    99÷2=49 remainder 199 \div 2 = 49 \text{ remainder } 1

  2. Divide the quotient (49) by 2 and note the remainder.

    49÷2=24 remainder 149 \div 2 = 24 \text{ remainder } 1

  3. Divide the quotient (24) by 2 and note the remainder.

    24÷2=12 remainder 024 \div 2 = 12 \text{ remainder } 0

  4. Divide the quotient (12) by 2 and note the remainder.

    12÷2=6 remainder 012 \div 2 = 6 \text{ remainder } 0

  5. Divide the quotient (6) by 2 and note the remainder.

    6÷2=3 remainder 06 \div 2 = 3 \text{ remainder } 0

  6. Divide the quotient (3) by 2 and note the remainder.

    3÷2=1 remainder 13 \div 2 = 1 \text{ remainder } 1

  7. Divide the quotient (1) by 2 and note the remainder.

    1÷2=0 remainder 11 \div 2 = 0 \text{ remainder } 1

  8. Collect the remainders from bottom to top.

    The remainders are 1, 1, 0, 0, 0, 1, 1.
    Reading them in reverse order gives the base 2 representation.

    9910=1100011299_{10} = \boxed{1100011_2}
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