0
1. Write out the powers of 2 from 20 = 1 (in right to left order, ie ... 16 8 4 2 1) until you get a power greater than or equal to the number you wish to convert.
2. Put a one (1) under the highest power of 2 that is less than or equal to the number
3. Subtract that power from the number.
4. If the result of the subtraction is not zero, find the next power of 2 not greater than the result of the subtraction and repeat from step 3.
5. Put a zero (0) under all powers of 2 which have nothing under them.
6. The result (under the powers of 2) is the number in base 2.
Example to convert 948 base 10 to base 2:
Write out the powers of 2 until greater than or equal to 948:
Powers: 1024...512...256...128...64...32...16...8...4...2...1
First power less than or equal to 958 is 512:
Powers: 1024...512...256...128...64...32...16...8...4...2...1
Result:.....................1.......................................................................
948 - 512 = 436
Next power not greater than 436 is 256:
Powers: 1024...512...256...128...64...32...16...8...4...2...1
Result:.....................1........1..............................................................
436 - 256 = 180 → 128:
Powers: 1024...512...256...128...64...32...16...8...4...2...1
Result:.....................1........1.........1.................................................
180 - 128 = 52 → 32:
Powers: 1024...512...256...128...64...32...16...8...4...2...1
Result:.....................1........1.........1...............1...............................
52 - 32 = 20 → 16
Powers: 1024...512...256...128...64...32...16...8...4...2...1
Result:.....................1........1.........1...............1......1.......................
20 - 16 = 4 → 4:
Powers: 1024...512...256...128...64...32...16...8...4...2...1
Result:.....................1........1.........1..............1......1..........1...........
4 - 4 = 0, so fill in the zeros:
Powers: 1024...512...256...128...64...32...16...8...4...2...1
Result:.....................1........1.........1.......0.....1......1....0...1...0...0
Thus 95810 = 11 1011 01002
(If the powers are written out in ascending order (from left to right), reverse the final result.)
Add your answer:
Earn +20 pts
How do you convert 3214 to base ten?
Without knowing what base the number is written in it cannot be converted. Generally numbers in use are written in base 10
Convert the base-ten number to a numeral in the indicated base 2874 to base five Question 5 answers?
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
How do you write 601 in base 10?
Assuming the original number is written in base 10, there is no need to convert this to base 10 as it is already there. The hexadecimal number represented as 601 in base 16 is represented in decimal as 1537.
What is ABCD convert decimal?
If that's hexadecimal, it's 43981 base 10.
How do you Convert the 255 decimal to binary?
25510 = 111111112 To convert any number from one base to another, repeatedly divide by the target base, rounding down to each integer result, until the result is zero. Write down the remainders in reverse order, and you have the new representation. This works in the reverse order, such as going from base 2 to base 10. Just remember that the division is in the base, and per the rules, of the source base. In this case, you would be dividing by 10102, and getting remainders of 1012 (5), 1012 (5), and 102 (2).
How do you convert 3214 to base ten?
Without knowing what base the number is written in it cannot be converted. Generally numbers in use are written in base 10
Convert 31 in base 10 to base 2?
Sure thing, honey. To convert 31 from base 10 to base 2, you divide 31 by 2, which gives you a quotient of 15 and a remainder of 1. Then, you keep dividing the quotient by 2 until you reach 0, while keeping track of the remainders. The remainders, read from bottom to top, give you the binary representation of 31, which is 11111. Voilà!
What is 1011two convert into base 10?
11012
How do you convert a number to base ten?
Commonly numbers are base 10 already.
How do you convert base 2 to base 10?
Multiply the base by square root of 10 to the 4th power then divide by 2! (factorial) times 10!
Convert the base-ten number to a numeral in the indicated base 2874 to base five Question 5 answers?
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
Convert 10002 to base 10?
You will have to mention what base 1002 is in because it could be any base from 3 to 9.
Convert binary number 1101101 to decimal?
109 base 10
How do you write 601 in base 10?
Assuming the original number is written in base 10, there is no need to convert this to base 10 as it is already there. The hexadecimal number represented as 601 in base 16 is represented in decimal as 1537.
What is ABCD convert decimal?
If that's hexadecimal, it's 43981 base 10.
How do you convert base 10 64.25 to base 2?
64.2510 = 64 + 1/4 = 26 + 2-2 = 1000000.01 in base 2.
What tool can be used to convert between metric units?
A decimal point and an understanding how its position is affected by multiplication or division by 10 (or powers of 10).
