Ones complement simply switches the state of all the bits (0s becomes 1s and 1s becomes 0s). Assuming 1000 is binary (for decimal 8), the 1's complement would be 0111. But if 1000 is really decimal one thousand, the binary equivalent would 1111101000, thus the ones complement would be 0000010111.
Ones complement was originally used to represent signed integers. To flip the sign, all bits were flipped and the most-significant bit denoted the sign (0 for positive, 1 for negative). The problem with one's complement is that we end with two representations for the value zero: 00000000 and 11111111 in 8-bit notation. To eliminate this, most modern systems now use twos complement, which is ones complement plus one. Thus 00000000 is 11111111 + 00000001 which is 00000000.
Note that ones complement notation means that an 8-bit value has a valid range of -127 through +127 (with two representations for zero) while twos complement gives us a range of -128 through +127. Signed integer notation is also system-dependent, hence the reason why a char data type in C only has a guaranteed range of at least -127 through +127 across all implementations. For that reason it is not safe to assume that -128 has a valid representation in 8-bit signed notation across all implementations.
8-bit 2s complement representation of -19 is 11101101 For 1s complement invert all the bits. For 2s complement add 1 to the 1s complement: With 8-bits: 19 � 0001 0011 1s � 1110 1100 2s � 1110 1100 + 1 = 1110 1101
Surprise: it is -10002. (If you wanted to ask 1000(2), then it is 11111000(2))
one's complement is a bitwise complement of a binary number. (ie, 1 becomes 0 and 0 becomes 1) A one's complement isn't really used as much as a two's complement. A two's complement is used in a system where the larges bit in a binary number represents a negative number. so the bits for a 4 bit number would have the values of (from right to left): -8, 4, 2, 1 this allows you to represent any number from -8 (1000) to positive 7 (0111) To find the two's complement of a number, you take the one's complement, and then add 1. This significant because if a computer wants to subtract two numbers, it simply takes the two's complement of the second number and adds them together. More significance arises in digital circuits when constructing circuits using only nand/nor gates, as these perform slightly faster than and/or gates.
In C, the tilde operator (~) is the bitwise NOT operator. It returns the ones-complement of its operand. That is, the individual bits of the input are inverted in the output, such that all 0s becomes 1s and all 1s become 0s. Note that the bitwise NOT (~) and logical NOT (!) operators are used for entirely different purposes. With logical NOT, the operator evaluates true (the all-ones bit pattern) when the operand is false (the all-zeroes bit pattern), which is exactly the same as the ones-complement used in bitwise NOT. However, if the operand represents anything other than the all-zeroes bit pattern, the output is the all-zeroes bit pattern. We can compare the two operators by examining what happens to the bits in each operation. Let's use the value 42 (binary 00101010) as the input. ~42 -43 !42 false Note that the binary value 11010101 represents -42 on a ones-complement system. However, most systems today use twos-complement notation for signed values, thus if we want to negate a value regardless of which notation is utilised by the system we must use the unary minus operator. On a twos-complement system, unary minus is equivalent to adding 1 to the ones-complement representation of the operand. Thus -42 is equivalent to (~42) + 1 = (~00101010) + 00000001 = 11010101 + 00000001 = 11010110 = -42.
You, as a programmer, can use a string with 1s and and 0s (or any other content) in each and every programming language.
To get the 2s complement, find the 1s complement (by inverting the bits) and add 1. Assuming that number is [4-bit] binary it would be 1000. If it is preceded by 0s, as in, for example, 0000 1000, then it would be 1111 1000.
8-bit 2s complement representation of -19 is 11101101 For 1s complement invert all the bits. For 2s complement add 1 to the 1s complement: With 8-bits: 19 � 0001 0011 1s � 1110 1100 2s � 1110 1100 + 1 = 1110 1101
Invert the bits of each number in the binary sequence (change all 1s to 0s, and all 0s to 1s). So, you would have: 100110101 (original number) 011001010 (one's complement)
1111 1000 ------ 0111 0001 ------ 1000
232
9's complement of a decimal number represented in 2421 code is easily obtained by replacing the 1s with 0s,and 0s with 1s,so 2421 code is called a self complementing code.example-2421 of '2' is '0010',after replacing the 0s with 1s and 1s with 0s weget '1101' which is the 2421 of '7'(9s complement of 2 is 7). Thus 2421 code is self complementary.
There are 116 1s in the first 1000 digits of pi.
-123 = 11 1000 0101 [I presume the number 123 is in decimal] First write the positive number in binary using 10 bits (I've split it into groups of 4 bits to make it easier to read): 123 = 00 0111 1011 Convert to 1s complement by inverting all bits (any 0 => 1, any 1 => 0): 00 0111 1011 => 11 1000 0100 Finally add 1 to get 2s complement: 11 1000 0100 + 1 = 11 1000 0101 Thus the 2s complement of the negative number: -123 = 11 1000 0101 This can also be expressed in hexadecimal: -123 = 0x385 Or in octal (easy to convert if the binary number is first written in groups of 3 bits): -123 = 1 110 000 101 = 01605 [I've used C notation for the hexadecimal and octal numbers.]
1s + 1s + 1 = 2s + 1
Surprise: it is -10002. (If you wanted to ask 1000(2), then it is 11111000(2))
This would depend on the dollar amount. For 100s you would put them in 2000 straps, 50s are in 1000 straps, 10s are in 1000 straps and 1s are in 100 straps.
To take the 2's complement:Take the 1's complement, that is, change each 1 to 0, and each 0 to 1.Add 1 to the result.