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n200080 [17]
2 years ago
5

Convert 6432 Decimal to Binary Number system ? • Kindly don't spam !! ​

Mathematics
2 answers:
anygoal [31]2 years ago
8 0

Answer:

6432)10 = (1100100100000)2

Step-by-step explanation:

Step 1: Divide (6432)10 successively by 2 until the quotient is 0:

6432/2 = 3216, remainder is 0

3216/2 = 1608, remainder is 0

1608/2 = 804, remainder is 0

804/2 = 402, remainder is 0

402/2 = 201, remainder is 0

201/2 = 100, remainder is 1

100/2 = 50, remainder is 0

50/2 = 25, remainder is 0

25/2 = 12, remainder is 1

12/2 = 6, remainder is 0

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).

Hopes that it will help u...☺

I am Lyosha [343]2 years ago
4 0

\huge \bf༆ Answer ༄

The method to convert the number from Decimal to binary number system is simple ~

  • Divide the number continuously until it become 0 and write all the remainders from bottom to top.

Now let's solve the given question ~

  • \textsf{6432 ÷ 2 = 3216 , r = 0}

  • \textsf{3216 ÷  2 = 1608 , r = 0}

  • \textsf{1608 ÷  2 = 804  , r = 0}

  • \textsf{804  ÷   2 = 402  , r = 0}

  • \textsf{402  ÷   2 = 201   , r = 0}

  • \textsf{201   ÷   2 = 100   , r = 1 }

  • \textsf{100   ÷   2 = 50    , r = 0}

  • \textsf{50    ÷   2 = 25     , r = 0}

  • \textsf{25    ÷   2  = 12     , r = 1}

  • \textsf{12     ÷   2  = 6       , r = 0}

  • \textsf{6       ÷   2  = 3      , r = 0}

  • \textsf{3       ÷   2  = 1       , r = 1}

  • \textsf{1        ÷   2 = 0       , r = 1 }

Now, write the numbers from bottom to top ~

\sf{1100100100000}

I hope it helps ~

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