Integer to binary conversion tool

It provides the building blocks for all modern computing. All computer instructions are calculated in binary before turning them into instructions that the CPU can carry out. Binary numbers are made up of only two digits, 0 and 1, so there is a minor step when converting decimal numbers to binary than converting decimal numbers to hexadecimal. For this reason, decimal-to-binary conversion algorithms are usually simpler and more efficient than decimal-to-hexadecimal algorithms.

Binary code is a language that computers use to communicate with one another. There are two types of instructions in this language: yes and no.

All other instructions in binary code are combinations of these two instructions. If you want to understand how computers work, you must first understand binary code. It is one of the most widely used languages in the digital world. Computers use it to communicate through the internet or any other machine-based network.

Binary code is the only language that computers know, and their job is to process it. This tool allows people with no computer background to see what binary code looks like.

If you want a reverse conversion, you can use our binary to decimal converter anytime. Manually converting a decimal number to a binary can be a bit tricky because it has a lot to do with divisions and remainders. You can use the above converter to convert to binary. For your understanding, we will explain step by step method for this conversion. Follow the steps below to convert a decimal number to a binary number:. Step 1: Write down the decimal number that you want to convert to the binary number.

Write the remainder of this division on the right side. Write the remainder of this division on the right side again. Step 5: Write down the remainders from bottom to top. The remainder digits at the bottom are most significant, and those on top are least significant bits. Send feedback Loading…. Need some help? Decimal To Binary Converter. Enter decimal number:. Digit grouping. Reading a binary number is easier than it looks: This is a positional system; therefore, every digit in a binary number is raised to the powers of 2, starting from the rightmost with 2 0.

In the binary system, each binary digit refers to 1 bit. I found it easiest to remember the power of 2 up to a certain number usually is something I start with , and then you can extrapolate up from there.

So what I do to do this freehand, I start with a number I know, let's say you remember 64 is the highest 2 bit operator you remember, so I multiply that until I get over the number I have to convert. So is too large, so is the first binary number that isn't too large, so you set the bit to 1. You set the bit to 1 to indicate That bit is 0. So the bit is 1. Remainder is now 5. Bit is 1 2, bit is 0 1, bit is 1 It's tedious, but works. I checked against the calculation on the page, and it's accurate.

If you need to put it in bytes, it would be Each byte is 4 bits, zero padded. Facebook Twitter. Decimal Value max: Padding Convert.

Decimal Binary 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64