How to convert number to binary number.

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Do you know how binary works, or would you like to learn that too

I know

Here is an algorithm.
You keep joining the remainder after dividing the number by 2 to the binary number that you build up.


Start with a Number eg. 13

Set BinaryNumber to empty.

Repeat the following until Number = 0

Next digit of answer is remainder after dividing by 2
ie. set BinaryNumber to join (Number mod 2) BinaryNumber

Divide number by 2 and discard any decimal part
ie. Number = floor of (Number / 2)


Example:
Number = 13
BinaryNumber =

BinaryNumber = join (13 mod 2) BinaryNumber = 1
Number = floor of (13 / 2) = 6

BinaryNumber = join (6 mod 2) BinaryNumber = 01 * new digit is always joined to front of Binary Number
Number = floor of (6 / 2) = 3

BinaryNumber = join (3 mod 2) BinaryNumber = 101
Number = floor of (3 / 2) = 1

BinaryNumber = join (1 mod 2) BinaryNumber = 1101
Number = floor of (1 / 2) = 0


or just the math:

2 ) 13 remainder 1 (this line reads: 2 into 13 goes 6 remainder 1)
2) 6 remainder 0 (this line reads: 2 into 6 goes 3 remainder 0)
2) 3 remainder 1 (this line reads: 2 into 3 goes 1 remainder 1)
2) 1 remainder 1 (this line reads: 2 into 1 goes 0 remainder 1)
0

Answer is then read upwards from remainders: 1101

Scratch-Minion wrote:

Here is an algorithm.

… epic algorithm here

This is a really cool algorithm! I never thought of binary like this before Thanks for sharing!

SansStudios wrote:

Scratch-Minion wrote:

Here is an algorithm.

… epic algorithm here

This is a really cool algorithm! I never thought of binary like this before Thanks for sharing!

Scratch-Minion wrote:

Here is an algorithm.
You keep joining the remainder after dividing the number by 2 to the binary number that you build up.


Start with a Number eg. 13

Set BinaryNumber to empty.

Repeat the following until Number = 0

Next digit of answer is remainder after dividing by 2
ie. set BinaryNumber to join (Number mod 2) BinaryNumber

Divide number by 2 and discard any decimal part
ie. Number = floor of (Number / 2)


Example:
Number = 13
BinaryNumber =

BinaryNumber = join (13 mod 2) BinaryNumber = 1
Number = floor of (13 / 2) = 6

BinaryNumber = join (6 mod 2) BinaryNumber = 01 * new digit is always joined to front of Binary Number
Number = floor of (6 / 2) = 3

BinaryNumber = join (3 mod 2) BinaryNumber = 101
Number = floor of (3 / 2) = 1

BinaryNumber = join (1 mod 2) BinaryNumber = 1101
Number = floor of (1 / 2) = 0


or just the math:

2 ) 13 remainder 1 (this line reads: 2 into 13 goes 6 remainder 1)
2) 6 remainder 0 (this line reads: 2 into 6 goes 3 remainder 0)
2) 3 remainder 1 (this line reads: 2 into 3 goes 1 remainder 1)
2) 1 remainder 1 (this line reads: 2 into 1 goes 0 remainder 1)
0

Answer is then read upwards from remainders: 1101

thanks

If you want a scratch algorithm to convert decimal to binary, then this should work :

https://scratch.mit.edu/projects/433010278/editor/

TYSM I COULDN'T FIGURE IT OUT T-T