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What is meant by self complementing binary codes?
a binary code is self complementary if complement of any code word is again a code .in self completing codes 9's complement of a number can be obtained by interchanging 0's and 1's.
How do you write the number 212 in binary numbers or any other number?
110101002
How do you represent -123 in twos complement in 10 bits register?
-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.]
What is 1's complement of decimal 10?
The decimal complement of the number 1 is 8. You can find the complement of any digit by subtracting it from the largest single digit value in the base that you're working in.
Are all binary numbers counted by 2?
Binary numbers are written with two symbols, 0 and 1. It is not about counting by 2, any number can be written as a binary number, with the correct sequence of zeros and ones.
What is meant by self complementing binary codes?
a binary code is self complementary if complement of any code word is again a code .in self completing codes 9's complement of a number can be obtained by interchanging 0's and 1's.
Why 2's complement binary subtraction is preffered over 1's complement binary subtraction?
1
What differencess between one's complement and two's complement?
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.
Difference in 1's and 2's Complement?
1's Complement, has two different codes for the number 0 (+0 & -0), negative numbers are the simple binary complement of positive numbers, is symmetrical (same number of negative and positive numbers can be represented), adder/subtractor must implement wraparound carry from MSB to LSB to get correct answer2's Complement, has only one code for the number 0 (+0), negative numbers are 1 greater than the simple binary complement of positive numbers, is asymmetrical (one extra negative number than positive numbers), adder/subtractor is identical to a simple unsigned binary adder/subtractor without any special carry circuits needed
What does binari numbers?
A binary (not binari!) number does nothing. It is a number and is not capable of any action.
How to subtract the hexadecimal number 1245 from D257 using two's complement addition method?
You take 1245 and form the two's complement of it then add it to D257. The two's complement of a number is defined as the 1's complement + 1. In signed two's complement arithmetic, the most significant bit is the "sign" bit. 1 indicates a negative number and 0 indicates a positive number. To find the magnitude of a negative number, take it's two's complement (ignoring carry bits). To get the two's complement of 1245, take the 1's complement of 1245 and add 1. In binary 1245 is 0001001001000101. The one's complement is 1110110110111010 (in hex that's EDBA) . Adding 1 to this will give you the two's complement. That is EDBA+0001 (ignore the carry if any), is EDBB. Now you add EDBB to D257 and ignore any carry, so that will be 1C012 (throw away the carry bit), C012. C012 is a negative number (the sign bit, the most significant bit, is 1). To find its magnitude, apply the two's complement algorithm above, and you'll find it to be -16365. Note: D257 is a negative number, and you're subracting a positive number, so you're going to end up with another negative number, i.e. adding the two's complement of a number is the same thing as subtracting the number. You can check your result by doing the math in decimal to see if it adds up. D257 in decimal = -11688 (you apply the two's complement to the number to find the magnitude, and the sign is negative because the sign bit, the most signficant bit is 1). 1245 in decimal = 4677. -11688-4677 = -16365 (which in hex signed two's complement is C012).
How do you write the number 212 in binary numbers or any other number?
110101002
What is the hexadecimal number 0X 2101 when stated as a binary number?
0 times any number, in any base, is 0.
How do you represent -123 in twos complement in 10 bits register?
-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.]
What is 1's complement of decimal 10?
The decimal complement of the number 1 is 8. You can find the complement of any digit by subtracting it from the largest single digit value in the base that you're working in.
Are all binary numbers counted by 2?
Binary numbers are written with two symbols, 0 and 1. It is not about counting by 2, any number can be written as a binary number, with the correct sequence of zeros and ones.
Advantages of binary number system?
The base-2 (binary) system is simpler than a system based on any higher integer. In a way, it is the simplest possible number system.
