w do you convert binary numbers into unsigned and signed integ
How do you convert binary numbers into unsigned and signed integers?
1. Unsigned Numbers:
Unsigned numbers don’t have any sign, these can contain only magnitude of the number. So, representation of unsigned binary numbers are all positive numbers only. For example, representation of positive decimal numbers are positive by default. We always assume that there is a positive sign symbol in front of every number.
Representation of Unsigned Binary Numbers:
Since there is no sign bit in this unsigned binary number, so N bit binary number represent its magnitude only. Zero (0) is also unsigned number. This representation has only one zero (0), which is always positive. Every number in unsigned number representation has only one unique binary equivalent form, so this is unambiguous representation technique. The range of unsigned binary number is from 0 to (2n-1).
Example-1: Represent decimal number 92 in unsigned binary number.
Simply convert it into Binary number, it contains only magnitude of the given number.
= (92)10
= (1x26+0x25+1x24+1x23+1x22+0x21+0x20)10
= (1011100)2
It’s 7 bit binary magnitude of the decimal number 92.
Example-2: Find range of 5 bit unsigned binary numbers. Also, find minimum and maximum value in this range.
Since, range of unsigned binary number is from 0 to (2n-1). Therefore, range of 5 bit unsigned binary number is from 0 to (25-1) which is equal from minimum value 0 (i.e., 00000) to maximum value 31 (i.e., 11111).
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