Converting between decimal numbers and 8-bit binary numbers

1、Convert the decimal number 168 to a binary number:

• 128 is less than 168 so the left most bit in the binary number is a 1. 168 - 128 = 40.
• 64 is not less than or equal to 40 so the second bit from the left is a 0.
• 32 is less than 40 so the third bit from the left is a 1. 40 - 32 = 8.
• 16 is not less than or equal to 8 so the fourth bit from the left is a 0.
• 8 is equal to 8 so the fifth bit from the left is a 1. 8 - 8 = 0. Therefore, the bits to the right are all 0.

2、Convert the binary number 01110000 to a decimal number:

0 x 20 = 0

0 x 21 = 0

0 x 22 = 0

0 x 23 = 0

1 x 24 = 16

1 x 25 = 32

1 x 26 = 64

0 x 27 = 0   __________

= 112