You have to be able to identify the place-value of each place in the base-2 number.
1 1 0 1 0
The ones are in the following places: 16, 8, and 2.
Addum up: 16 + 8 + 2 = 26, and that's the value of your binary number.
Convert 110102 to base 10
15
11111
1, 2, 3, 5, 6, 10, 15, 30, 367, 734, 1101, 1835, 2202, 3670, 5505, 11010
Multiply the base by square root of 10 to the 4th power then divide by 2! (factorial) times 10!
110102 = 1*24 + 1*23 + 0*22 + 1*21 + 0*20 = 1*16 + 1*8 + 0 + 1*2 + 0 = 16 + 8 + 2 = 26
The number represented in base 2 by the digits 111 is equal to the decimal number 7.
26 base 10 = 1 1010 base 2
11111
1, 2, 3, 5, 6, 10, 15, 30, 367, 734, 1101, 1835, 2202, 3670, 5505, 11010
Multiply the base by square root of 10 to the 4th power then divide by 2! (factorial) times 10!
110102 = 1*24 + 1*23 + 0*22 + 1*21 + 0*20 = 1*16 + 1*8 + 0 + 1*2 + 0 = 16 + 8 + 2 = 26
64.2510 = 64 + 1/4 = 26 + 2-2 = 1000000.01 in base 2.
The number represented in base 2 by the digits 111 is equal to the decimal number 7.
What is 11010 power by 2 - 1101 power by 2
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)
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
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 .
110010 base 2 has one 2, one 16 and one 32 32 + 16 + 2 = 50 base 10