Convert 28 from hexadecimal to decimal.
Understand the Problem
The question is asking for the conversion of the hexadecimal number 28 to its decimal equivalent. This involves understanding how to convert from base 16 to base 10.
Answer
The decimal equivalent of the hexadecimal number \( 28 \) is \( 40 \).
Answer for screen readers
The decimal equivalent of the hexadecimal number ( 28 ) is ( 40 ).
Steps to Solve
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Identify the hexadecimal number The given hexadecimal number is ( 28 ). In hexadecimal, each digit represents a power of 16.
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Expand the hexadecimal number Expand the number ( 28 ) using its positional values. The digit '2' is in the 16s place, and the digit '8' is in the 1s place. This can be expressed as: $$ 2 \times 16^1 + 8 \times 16^0 $$
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Calculate the powers of 16 Now calculate the powers: $$ 16^1 = 16 $$ $$ 16^0 = 1 $$
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Multiply and sum the values Now substitute these values back in and do the calculations: $$ 2 \times 16 + 8 \times 1 = 32 + 8 $$ Now, add the values together: $$ 32 + 8 = 40 $$
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State the final result The decimal equivalent of the hexadecimal number ( 28 ) is ( 40 ).
The decimal equivalent of the hexadecimal number ( 28 ) is ( 40 ).
More Information
Hexadecimal numbers are commonly used in computing as they are more compact than binary numbers, making them easier for humans to read. Each hexadecimal digit represents four binary digits (bits).
Tips
- Confusing the place values; remember that hexadecimal uses base 16, not base 10.
- Not calculating the powers of 16 correctly. Always ensure you compute ( 16^0 = 1 ) and ( 16^1 = 16 ).
