what are binary numbers. Explain with addition and subtraction of binary number also
Answers
In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.
Sometimes an underscore (-) is used to distinguish the sign bit from the magnitude bit.
Thus, if a computer is capable of handling numbers of 5 bits (i.e., sign bit and 4 magnitude bits) then the number - 1011 is represented by 11011 where 1 denotes the negative sign and 1011 is the magnitude of the numbers.
Similarly 01101 indicate the binary number + 1101.
A negative numbers may also be represented by using 1’s complement of the magnitude of the number.
Thus the binary number – 1011 may be represented as 10100 where the MSB 1 means that the number is negative and 0100 is the 1’s complement of the magnitude of the given number.
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