Aug 17, 2018 · Basically I want to learn the algorithm on how to convert decimal to binary, I found this: int convert(int dec) { if (dec == 0) { return 0; } else { return (dec % 2 + 10 * convert(dec / 2)); } } It works just fine, but I am not able to understand dec % 2 + 10 * convert(dec / 2).

Mar 30, 2010 · strtol will convert a binary string like "011101" to an internal value (which will normally be stored in binary as well, but you don't need to worry much about that). A normal conversion (e.g. operator<< with std:cout ) will give the same value in decimal.

Oct 2, 2013 · What is the most optimal way to convert a decimal number into its binary form ,i.e with the best time complexity?

You can convert to a different power-of-two base, e.g. octal or hexadecimal, first. That's $3$ or $4$ times fewer divisions, and then you can very quickly convert to binary using a lookup table for the octal or hexadecimal digits.

If your $x$ is between $0$ and $1$, you can write $x=\sum_{i=1}^\infty a_i2^{-i}$ where $a_i \in \{0,1\}$ are binary digits of the expansion. If it is not, you can add the integral part of $x$ converted to binary to this expression. You can't have an infinite binary string to the left of the fraction point as the value would be infinite.

Jan 13, 2025 · To convert a number from decimal to binary, write down the number at the top of a sheet of paper. Divide the number by 2, and write the remainder out to the side. If you are dividing an odd number, the remainder will be 1, and if it’s even, the remainder will be 0.

Feb 4, 2025 · Given a decimal number n, the task is to convert the given decimal number into an equivalent binary number. Examples: The below diagram shows an example of converting the decimal number 17 to an equivalent binary number, by dividing it by 2.

Mar 21, 2015 · The most straightforward way to represent an arbitrarily large binary number is an array of its binary digits. You can then apply the algorithms for addition and multiplication your learned in elementary school, except that digits will "overflow" when they exceed 1 rather than 9.

Jan 13, 2016 · From decimal to binary. Step 1: Check if your number is odd or even. Step 2: If it's even, write 0 (proceeding backwards, adding binary digits to the left of the result). Step 3: Otherwise, if it's odd, write 1 (in the same way). Step 4: Divide your number by 2 (dropping any fraction) and go back to step 1. Repeat until your original number is 0.

Sep 20, 2020 · For a decimal number between 0 and 1 with "N" decimal places beyond the dot. (e.g. 0.022 has N=3 and 0.0101 has N=4) if the binary representation is repeating, then the repeating portion should be no longer than 10^N digits.