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.
The Binary number for the base 10 number 15 is 1111 Think about it: you should first set up the first four place values, which are - - - - 8 4 2 1 First, divide 15 (or the number your working with) by the largest place value (not bigger than the number you're dividing by) which, in this case, is 8. 15/8 is 1 R 7, so put 1 in the 8 place value spot. Since you have 7 remaining, put another 1 in the 4's place, than another 1 in the 2's place, and another in the 1's place. You have nothing left to divide, so this is your answer. 15 (base 10) = 1111 (base 2, or Binary)
The number 21 in binary is 10101
The number 21 in binary is 10101
binary
1111 1111 base 2
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.
1111 converted from binary (base 2) to decimal (base 10) is 15 When you expand the steps... 1111 binary = (1 X 2^3) + (1 X 2^2) + (1 X 2^1) + (1 X 2^0) = 8 + 4 + 2 + 1 = 15
1010 base 2 = 10 base 10 1010 base 10 = 11 1111 0010 base 2
The 1's complement is formed by inverting every binary digit (bit) of the number - if it is a 0 it becomes a 1, otherwise it is a 1 and becomes a 0. If 10 is in base 2, then its 1's compliment is 01 or just 1. If 10 is in base 10, then in binary it is 1010 and its 1's complement is 0101 = 5 in decimal. However, if more bits are being used to store it, there would be leading 0s that get inverted to 1s and so the resultant number is different; examples: 8 bits (a byte): decimal 10 = 0000 1010 → 1111 0101 = 245 in decimal 16 bits: decimal 10 = 0000 0000 0000 1010 → 1111 1111 1111 0101 = 65525 Next, if 2s complement is being used to represent negative numbers, the binary 1111 0101 represents decimal -11; similarly 1111 1111 1111 0101 represents decimal -11.
The Binary number for the base 10 number 15 is 1111 Think about it: you should first set up the first four place values, which are - - - - 8 4 2 1 First, divide 15 (or the number your working with) by the largest place value (not bigger than the number you're dividing by) which, in this case, is 8. 15/8 is 1 R 7, so put 1 in the 8 place value spot. Since you have 7 remaining, put another 1 in the 4's place, than another 1 in the 2's place, and another in the 1's place. You have nothing left to divide, so this is your answer. 15 (base 10) = 1111 (base 2, or Binary)
The base two is binary. That's where bi- comes from.
The binary number 11111111 represents the number 255 in base 10.
Base 2
16 is the 4th power of 2. So a hexadecimal number is converted to binary by replacing each hex digit by the 4-bit binary number having the same value. Conversely, in converting binary to hexadecimal, we group every 4 bits starting at the decimal (binary?) point and replace it with the equivalent hex digit. For example, the hexadecimal number 3F9 in binary is 1111111001, because 3 in binary is 11, F (decimal 15) is 1111, and 9 is 1001.
It is 15.
The number 21 in binary is 10101