Explain Sum-of-Weights Method for Hexadecimal to Decimal-00330
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vu cs201 Introduction to Programming.
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vu cs201 Mid Term Solved Past Paper No. 2.
The hexadecimal (Hex) numbering system provides even shorter notation than octal. Hexadecimal uses a base of 16. It employs 16 digits: number 0 through 9, and letters A through F, with A through F substituted for numbers 10 to 15, respectively,
Hexadecimal numbers can be expressed as their decimal equivalents by using the sum of weights method, as shown in the following example:
Weight 210Hex. Number 1B7
7 x 160 = 7 x 1 = 7
11 x 161 = 11x 16 = 176
1 x 162 = 1 x 256 = 256
Sum of products = 43910
Like octal numbers, hexadecimal numbers can easily be converted to binary or vise versa. Conversion is accomplished by writing the 4-bit binary equivalent of the hex digit for each position, as illustrated in the following example:
Hex. Number 1 B 7Binary number 0001 1011 0111
Hexadecimal Binary Decimal
0 0000 0
1 0001 1
2 0010 2
