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ProfessorIn base 4, each position is worth 4 times the value of the position to the right. Thus, you add powers of 4. Take the number 1203 (base 4), from right to left, and add the following powers of 10:
3 x 1
0 x 4
2 x 42
1 x 43 Do the multiplications, then add everything up. The same method applies for converting any other base - just change the 4 to whatever the base is from which you want to convert.
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How do you convert numbers into decimals?
1. You have to know the base of the original number. 2. If the base of the original number is base 10, then you don't need to convert it to decimal because the original number is already a decimal number. This means the decimal numbering system is base 10 (i.e. it has 10 base digits-->0-9) 3. If the base of the original number is different than base 10, then you will need to use a mathematical conversion method (or a computer program/calculator) to convert the original number to decimal. For example: If the original number 1011 is a base 2 (binary) number, then you would use the following conversion method to convert it from base 2 to base 10: 1 * 2^0 = 1 * 1 = 1 1 * 2^1 = 1 * 2 = 2 0 * 2^2 = 0 * 4 = 0 1 * 2^3 = 1 * 8 = 8 Now add the right most column of numbers together (e.g.: 1+2+0+8=11). 11 is the decimal (base 10) equivalent to the original base 2 number 1011. Similar methods can be used to convert from other base numbering systems to decimal (e.g. base 5 to base 10)
How do you convert 43 base five to decimal form?
43 base 5 = (4 * 5^1) + (3 * 5^0) = 20 + 3 = 23
Convert hexadecimal to 4?
4 is 4 in hexadecimal of decimal.
Convert four and three tenths to a fraction notation?
4 and 3/10 becomes the improper fraction 43/10. You multiply 10 by 4 and add 3. The decimal is 4.3.
What is 100 in base 2 minus 11 in base 2?
To subtract 11 in base 2 from 100 in base 2, you first convert both numbers to decimal. 100 in base 2 is equal to 4 in decimal (12^2 + 02^1 + 02^0). Similarly, 11 in base 2 is equal to 3 in decimal (12^1 + 12^0). Subtracting 3 from 4 in decimal gives you 1 in decimal, which is equal to 1 in binary (12^0). Therefore, 100 in base 2 minus 11 in base 2 equals 1 in base 2.
