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
503 base 10 = 767 base 8 503 base 8 = 323 base 10
11111
You have to be able to identify the place-value of each place in the base-2 number.1 1 0 1 0The 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.
11012
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)
503 base 10 = 767 base 8 503 base 8 = 323 base 10
11111
You have to be able to identify the place-value of each place in the base-2 number.1 1 0 1 0The 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.
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)
11012
23 here is why base 8 means the first digits is 1s, we have 0,1,2,3,4,5,6,7 think of the 1s as 8^0s then the next digits is 8x, think of this as 8^1, So a 3 in the ones digits is still 3, but a 2 in the 8 digits, the second place, is 2 8x which is 16. So for example 10 in base 10 is 8+2 so it is 12 and 11 in base 10 is 8+3 so it is 13 19 is 23 because 19 is 16+3, that is to say, 2x8+2x1
Commonly numbers are base 10 already.
Multiply the base by square root of 10 to the 4th power then divide by 2! (factorial) times 10!
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
Why don't you do your homework. You are in base 2. You are going into base 10. You are dealing with a ones column, a two column, a four column, and an eight column. You have one 1, one 2, one 4, and one 8. What do you get when you add, 1 + 2 + 4 + 8 ?
You will have to mention what base 1002 is in because it could be any base from 3 to 9.
1111 from base 2 to base 10...Working from right to left - each of the above digits is twice its neighbour. Therefore, you have 8+4+2+1 which equals 15