How do you represent decimal 3 in binary?

#How to represent decimal 3 in binary?

The answer is: 0011.

Analysis: 3=1*2^0 1*2^1=11, complete to four digits to get 0011.

The method of converting decimal to binary is as follows:

1. Integer conversion

The principle of converting decimal to binary: divide the decimal number by 2 until the quotient is 0, and finally takes the remainder in reverse.

2. Decimal conversion

For decimals, converting from binary to decimal is relatively simple. Each digit of the binary number is still multiplied by 2 to the nth power. The n before the decimal point starts from zero. Add one each time; n after the decimal point starts from -1, decreases by one each time, and finally accumulates.

Extended information

Binary to decimal conversion method:

From right to Multiply each binary number on the left by the corresponding power of 2, from left to right after the decimal point.

For example: Convert the binary number 1101.01 to decimal

1101.01 (binary) = 1*2^0 0*2^1 1*2^2 1*2^3 0*2^- 1 1*2^-2=1 0 4 8 0 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)

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