1. COUNTING IN BINARY Binary weightings 0 x 1 + 0 x 2 + 0 x 4 + 0 x 8
Binary weightings
0 x 1
+ 0 x 2
+ 0 x 4
+ 0 x 8
======
Binary
Decimal
1 x 1
+ 1 x 2
+ 0 x 4
+ 1 x 8
====== 11 10 9 8 7 6 5 4 3 2 1
Binary
Decimal
0 x 1
+ 0 x 2
+ 1 x 4
+ 1 x 8
====== 12 11 10 9 8 7 6 5 4 3 2 1
Binary
Decimal
0 x 1
+ 1 x 2
+ 0 x 4
+ 1 x 8
====== 10 9 8 7 6 5 4 3 2 1
Binary
Decimal
1 x 1
+ 0 x 2
+ 1 x 4
+ 1 x 8
====== 13 12 11 10 9 8 7 6 5 4 3 2 1
Binary
Decimal
1 x 1
+ 1 x 2
+ 1 x 4
+ 1 x 8
====== 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
Binary
Decimal
0 x 1
+ 1 x 2
+ 1 x 4
+ 1 x 8
====== 14 13 12 11 10 9 8 7 6 5 4 3 2 1
Binary
Decimal
1 x 1
+ 0 x 2
+ 0 x 4
+ 1 x 8
====== 9 8 7 6 5 4 3 2 1
Binary
Decimal
1 x 1
+ 1 x 2
+ 1 x 4
+ 0 x 8
====== 7 6 5 4 3 2 1
Binary
Decimal
0 x 1
+ 1 x 2
+ 0 x 4
+ 0 x 8
====== 2 1
Binary
Decimal
1 x 1
+ 0 x 2
+ 0 x 4
+ 0 x 8
====== 1
Binary
Decimal
1 x 1
+ 1 x 2
+ 0 x 4
+ 0 x 8
====== 3 2 1
Binary
Decimal
0 x 1
+ 0 x 2
+ 1 x 4
+ 0 x 8
====== 4 3 2 1
Binary
Decimal
0 x 1
+ 1 x 2
+ 1 x 4
+ 0 x 8
====== 6 5 4 3 2 1
Binary
Decimal
1 x 1
+ 0 x 2
+ 1 x 4
+ 0 x 8
====== 5 4 3 2 1
Binary
Decimal
0 x 1
+ 0 x 2
+ 0 x 4
+ 1 x 8
====== 8 7 6 5 4 3 2 1
Binary
Decimal