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To convert a number from base 2 (binary) to base 10 (decimal), you multiply each digit of the binary number by 2 raised to the power of its position from the right, starting at 0. Then, sum up these results to get the decimal equivalent. For example, to convert the binary number 1011 to decimal: 1*(2^3) + 0*(2^2) + 1*(2^1) + 1*(2^0) = 8 + 0 + 2 + 1 = 11.
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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 from base 8 to base 10?
Example: converting 51 from base 8 to base 10. Step 1: base 8 to base 2 Step 2 : base 2 to base 10 first we need convert base 8 to base 2 000 -> 0 001 -> 1 010 -> 2 011 -> 3 100 -> 4 101 -> 5 110 -> 6 111 -> 7 so 5 = 101 1 = 001 so 51 = 101001 now step 2. converting base 2 to base 10 1x25 + ox24 + 1x23+ 0x22 + 0x21 + 1x20 = 41 Answer : 41
How do you multiply 4 times 35 in base 6?
I would convert to base 10 , multiply and then convert back to base 6. 35 base 6 is 3 * 6 + 5 = 23 in base ten. 4 * 23 = 92 which is 2*36 + 3* 6 + 2 , in base 6 , the answer is 232 .
How do you convert binary number 110010 to decimal?
110010 base 2 has one 2, one 16 and one 32 32 + 16 + 2 = 50 base 10
What is 43 base five 24 base 5?
To add two numbers in different bases, we first convert them to the same base. In this case, we convert 43 base 5 to base 10, which is 23. Then we convert 24 base 5 to base 10, which is 14. Adding 23 and 14 in base 10 gives us 37. Finally, we convert 37 back to base 5, which is 112. So, 43 base 5 plus 24 base 5 equals 112 base 5.
