1 MB in bits
Understand the Problem
The question is asking for the conversion of 1 megabyte (MB) into bits. This requires applying the basic knowledge of data size conversions, where 1 byte equals 8 bits, and 1 megabyte is typically equal to 1,024 kilobytes. Therefore, we will multiply 1 MB by 1,024 (to convert to kilobytes) and then multiply by 1,024 again (to convert to bytes) and finally by 8 (to convert to bits).
Answer
$8,388,608$ bits
Answer for screen readers
The correct conversion of 1 megabyte into bits is $8,388,608$ bits.
Steps to Solve
- Convert Megabytes to Kilobytes
Since 1 megabyte (MB) is equal to 1,024 kilobytes (KB), we start by converting 1 MB into KB.
$$ 1 \text{ MB} = 1 \times 1,024 \text{ KB} = 1,024 \text{ KB} $$
- Convert Kilobytes to Bytes
Next, we convert kilobytes into bytes. Since 1 kilobyte is equal to 1,024 bytes, we then convert 1,024 KB into bytes.
$$ 1,024 \text{ KB} = 1,024 \times 1,024 \text{ bytes} = 1,048,576 \text{ bytes} $$
- Convert Bytes to Bits
Finally, we convert bytes into bits. Knowing that 1 byte equals 8 bits, we will convert 1,048,576 bytes into bits.
$$ 1,048,576 \text{ bytes} = 1,048,576 \times 8 \text{ bits} = 8,388,608 \text{ bits} $$
The correct conversion of 1 megabyte into bits is $8,388,608$ bits.
More Information
1 megabyte is equal to $1,024$ kilobytes, which equals $1,048,576$ bytes. Since there are $8$ bits in a byte, this converts to a total of $8,388,608$ bits. This also means that understanding data size conversions is crucial in computing and digital communications.
Tips
- Confusing megabytes with megabits; remember that 1 MB = 8 Mb only holds when directly converting bytes to bits, and not when considering kilobytes or bytes.
- Forgetting to multiply the correct number of times when converting units; always double-check the number of conversions needed.
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