Convert the decimal number 16 into binary and hexadecimal. Show all steps.

Computer Science

ScanSolve AI Answer

Answers

2 parts
1

10000210000_2

2

101610_{16}

Step-by-step solution

4 steps

Part 1· 2 steps

Convert the decimal number 16 into binary.

  1. Divide by 2 and record remainders

    Divide the decimal number by 2 repeatedly until the quotient is 0, noting the remainder at each step.
    16÷2=816 \div 2 = 8 remainder 0
    8÷2=48 \div 2 = 4 remainder 0
    4÷2=24 \div 2 = 2 remainder 0
    2÷2=12 \div 2 = 1 remainder 0
    1÷2=01 \div 2 = 0 remainder 1

  2. Read remainders in reverse order

    Read the remainders from bottom to top to get the binary equivalent.
    The remainders are 1,0,0,0,01, 0, 0, 0, 0.
    So, 1610=10000216_{10} = 10000_2.

    The binary representation of 16 is 100002\boxed{10000_2}.


Part 2

101610_{16}

Convert the decimal number 16 into hexadecimal.

  1. Divide by 16 and record remainders

    Divide the decimal number by 16 repeatedly until the quotient is 0, noting the remainder at each step.
    16÷16=116 \div 16 = 1 remainder 0
    1÷16=01 \div 16 = 0 remainder 1

  2. Read remainders in reverse order

    Read the remainders from bottom to top to get the hexadecimal equivalent.
    The remainders are 1,01, 0.
    So, 1610=101616_{10} = 10_{16}.

    The hexadecimal representation of 16 is 1016\boxed{10_{16}}.

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