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What is the binary equivalent ofthe decimal number 0.3125?
- a)0.0111
- b)0.1010
- c)0.0101
- d)0.1101
Correct answer is option 'C'. Can you explain this answer?
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What is the binary equivalent ofthe decimal number 0.3125?a)0.0111b)0....
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What is the binary equivalent ofthe decimal number 0.3125?a)0.0111b)0....
Conversion of Decimal to Binary (0.3125):
Step 1: Convert Integer Part
- The integer part of 0.3125 is 0.
Step 2: Convert Fractional Part
- Multiply the fractional part by 2: 0.3125 * 2 = 0.625
- The binary digit is 0.
- Repeat the process with the remaining decimal: 0.625 * 2 = 1.25 (integer part is 1)
- The binary digit is 1.
- Continue the process until the fractional part becomes 0.
Final Binary Equivalent
- Combining the integer and fractional parts, the binary equivalent of 0.3125 is 0.0101.
Therefore, the correct answer is option C (0.0101).
Step 1: Convert Integer Part
- The integer part of 0.3125 is 0.
Step 2: Convert Fractional Part
- Multiply the fractional part by 2: 0.3125 * 2 = 0.625
- The binary digit is 0.
- Repeat the process with the remaining decimal: 0.625 * 2 = 1.25 (integer part is 1)
- The binary digit is 1.
- Continue the process until the fractional part becomes 0.
Final Binary Equivalent
- Combining the integer and fractional parts, the binary equivalent of 0.3125 is 0.0101.
Therefore, the correct answer is option C (0.0101).
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What is the binary equivalent ofthe decimal number 0.3125?a)0.0111b)0.1010c)0.0101d)0.1101Correct answer is option 'C'. Can you explain this answer?
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