Binary Numbers

Today we started learning about Binary Numbers, how to convert a decimal into binary and how to add binary numbers together.

This gif I found online explains how to convert the number 155 into a binary number, using base 2 numbers.

We were given some numbers to work out into a binary number:

 

7= 111 ✓

32s 16s 8s 4s 2s 1s
0 0 0 1 1 1

 

16= 10000 ✓

32s 16s 8s 4s 2s 1s
0 1 0 0 0 0

 

19= 10011 ✓

32s 16s 8s 4s 2s 1s
0 1 0 0 1 1

 

30= 11110 ✓

32s 16s 8s 4s 2s 1s
0 1 1 1 1 0

 

54= 10110 ✓

32s 16s 8s 4s 2s 1s
1 1 0 1 1 0

I really enjoyed doing these, however, I didnt realise with the adding, that 1+1=0, and I thought it was still just 1, so I got the addition question wrong at first, but afterwards I realised where I had went wrong.

 

Adding binary numbers

 

101100 +

000110

______

111110  X

110010

 

IN BINARY 1+1 = 0

 

2863 = 101100101111

4096s 2048s 1024s 512s 256s 128s 64s 32s 16s 8s 4s 2s 1s
0 1 0 1 1 0 0 1 0 1 1 1 1