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How to represent decimal 3 with binary

2025-01-27 Update From: SLTechnology News&Howtos shulou NAV: SLTechnology News&Howtos > Internet Technology >

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Today, I will talk to you about how to express decimal 3 with binary, which may not be well understood by many people. in order to make you understand better, the editor has summarized the following contents for you. I hope you can get something according to this article.

The answer is 0011.

Analysis: 3 * 1 * 2 ^ 0 + 1 * 2 ^ 1 = 11, and the completion to four digits is 0011.

The method of converting decimal to binary is as follows:

1. Integer conversion

The principle of converting decimal to binary: the number of decimals is divided by 2 until the quotient is 0, and finally the remainder is reversed.

2. Decimal conversion

For decimals, the conversion from binary to decimal is relatively simple. Each digit of the binary number is multiplied by the n power of 2. The n in front of the decimal point starts from zero and adds one at a time. The n after the decimal point starts at-1, minus one at a time, and finally accumulates.

Extended data

Binary to decimal method:

From right to left, multiply each number in the binary by the corresponding power of 2, and then from left to right after the decimal point.

For example, the binary number 1101.01 is converted to decimal

1101.01 (binary) = 1 * 2 ^ 0 + 0 * 2 ^ 1 + 1 * 2 ^ 2 + 1 * 2 ^ 3 + 0 * 2 ^-1 "1 * 2 ^ 2 ^-2" 1 * 2 ^ 2 ^-2 "1" 0 "4" 8 "0.25" 13.25 (decimal)

So to sum up, the general formula is:

Abcd.efg (binary) = d * 2 ^ 0 + c * 2 ^ 1 + b* 2 ^ 2 + a* 2 ^ 3 + e* 2 ^-1 ^ f * 2 ^-2 g * 2 ^-3 (decimal)

After reading the above, do you have any further understanding of how to represent decimal 3 with binary? If you want to know more knowledge or related content, please follow the industry information channel, thank you for your support.

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