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How do you convert between base systems?

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How do you convert between base systems?

Step 1 − Divide the decimal number to be converted by the value of the new base. Step 2 − Get the remainder from Step 1 as the rightmost digit (least significant digit) of new base number. Step 3 − Divide the quotient of the previous divide by the new base.

How do you convert a number to base 2?

Steps To Convert From Base 10 to Base 2-

  1. Divide the given number (in base 10) with 2 until the result finally left is less than 2.
  2. Traverse the remainders from bottom to top to get the required number in base 2.

How do you convert a number from base 2 to base 4?

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Simply regroup each base 4 digit as a pair of base 2. For example, 28 can be represented as 130 in base 4….

  1. Replace each zero (0) digit in the octal number with “000”
  2. Replace each one (1) with “001”
  3. Replace each 2 with “010”
  4. Each 3 becomes “011”
  5. Each 4 becomes “100”
  6. 5 becomes “101”
  7. 6 becomes “110”
  8. 7 becomes “111”

How do you convert a base number to another base?

The general steps for converting a base 10 or “normal” number into another base are:

  1. First, divide the number by the base to get the remainder.
  2. Then repeat the process by dividing the quotient of step 1, by the new base.
  3. Repeat this process until your quotient becomes less than the base.

How do you convert to base 3?

To begin the conversion to base-3, we divide our number by 3. We don’t need to worry about decimal points, just what the remainder is. Let’s divide 42 by 3. We get 14 with remainder 0.

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How do you convert a number from base 2 to base 8?

Convert the number 61578 to base 2. We split each digit in base 8 to three digits in base 2, using the three digit base 2 equivalent, so 68 = 1102, 18 = 0012, etc….More videos on YouTube.

Base 2 (binary) number Base 10 (decimal) equivalent Base 8 (octal) number
011 3 3
100 4 4
101 5 5
110 6 6

How do you convert from base 4 to octal?

The simplest way is to convert the octal number into decimal, then the decimal into quaternary form.

  1. Write the powers of 8 (1, 8, 64, 512, 4096, and so on) beside the octal digits from bottom to top.
  2. Add up the answers.
  3. Divide the decimal number by 4.