To convert the binary number 1111 to base ten, we use the positional value system. Starting from the right, each digit in the binary number represents a power of 2. So, 1111 in binary is equal to 1*(2^3) + 1*(2^2) + 1*(2^1) + 1*(2^0) = 8 + 4 + 2 + 1 = 15 in base ten. Therefore, 1111 in binary is equal to 15 in base ten.
To convert the number 1111 from base 2 to base 10, you need to multiply each digit by 2 raised to the power of its position from right to left, starting from 0. So, 1*(2^3) + 1*(2^2) + 1*(2^1) + 1*(2^0) = 8 + 4 + 2 + 1 = 15. Therefore, 1111 in base 2 is equal to 15 in base 10.
Since 16 is a power of 2, you can directly convert every hexadecimal digits to four binary digits. Look up the equivalent in a table, if you don't know it by heart. Don't forget the zeroes at the left. For example, to convert 3F5(hex), 3 = 0011, F = 1111 and 5 = 0101, so 3F5(hex) = 0011 1111 0101 (binary). In this example you may get rid of the first two zeroes, depending on the application.
In usual mathematics (base ten, normal addition), 2 + 2 = 4.
110102 = 1*24 + 1*23 + 0*22 + 1*21 + 0*20 = 1*16 + 1*8 + 0 + 1*2 + 0 = 16 + 8 + 2 = 26
You don't convert linear measurement to area measurement, the two are incompatible. You either convert meters to feet, or square meters to square feet. One foot is exactly 0.3048 meters; you can base your calculations on that.
Since 16 is a power of 2, you can directly convert every hexadecimal digits to four binary digits. Look up the equivalent in a table, if you don't know it by heart. Don't forget the zeroes at the left. For example, to convert 3F5(hex), 3 = 0011, F = 1111 and 5 = 0101, so 3F5(hex) = 0011 1111 0101 (binary). In this example you may get rid of the first two zeroes, depending on the application.
To convert the number 1111 from base 2 to base 10, you need to multiply each digit by 2 raised to the power of its position from right to left, starting from 0. So, 1*(2^3) + 1*(2^2) + 1*(2^1) + 1*(2^0) = 8 + 4 + 2 + 1 = 15. Therefore, 1111 in base 2 is equal to 15 in base 10.
In base ten, ten is not a prime number. It is divisible by both 2 and 5. In base 2, however, 10 is equal to two in base ten and two is a prime number.
In binary: 1111 1111 1111 1111 1111 1111 1111 1111 In octal: 37777777777 In hexadecimal: FFFFFFFF in decimal: 2³² - 1 = 4,294,967,295
given 1111 that would be in base10 20+ 21 + 22 + 23 = 1 + 2 + 4 + 8 = 15 you count using 2x and read right to left given 1011 20 + 21 + 23 = 1 + 2 + 8 = 11
1111 is a composite number because it has more than two factors as it is divisible by 1, 1111 and 11.
Express it as a sum of powers of 2, thus: 15 = 8 + 4 + 2 + 1. The binary representation has a one for every power of two that is present and 0 when not. So 15, in binary, is 1111.
2.012
The binary representation of the decimal number 77 is 1001101.
It is not magic. While incorrect in "base ten", the eqauation is correct in binary numbers (base two). The sum 1+1=10 because the value "10" (base two) is equal to 2 in base ten.
The base of a number is the size of the groups in a counting system. The system we use is base 10. The smallest two-digit number, 10, represents a group of ten units or 101. 100 is ten groups of ten units or 102. 1000 is ten groups of ten groups of ten units or 103, and so on. The base is also the number of different digits used in the counting system including 0. Computer designers and low level programmers are also familiar with base 2 (binary), base 8 (octal) and base 16 (hexadecimal). In binary, 10 represents a set of two units or 21, 100 is two sets of two or 22, 1000 is two sets of two sets of two or 23, and so on. When a base other than 10 is being used, the base is often written as a subscript after the number. For example, 101012 = 258 = 2110.
The base of a number is the size of the groups in a counting system. The system we use is base 10. The smallest two-digit number, 10, represents a group of ten units or 101. 100 is ten groups of ten units or 102. 1000 is ten groups of ten groups of ten units or 103, and so on. The base is also the number of different digits used in the counting system including 0. Computer designers and low level programmers are also familiar with base 2 (binary), base 8 (octal) and base 16 (hexadecimal). In binary, 10 represents a set of two units or 21, 100 is two sets of two or 22, 1000 is two sets of two sets of two or 23, and so on. When a base other than 10 is being used, the base is often written as a subscript after the number. For example, 101012 = 258 = 2110.