1 CSE1301 Computer Programming Lecture 33 Supplement: Conversions: Unsigned Binary to Decimal Decimal to Unsigned Binary

2 Converting Decimal to/from Unsigned Binary Analogy: Giving a $69.10 change from largest to smallest denomination: = 1  $50 bill = 1  $10 bill = 1  $5 bill = 2  $2 coin = 1  10c coin

Converting Decimal to/from Unsigned Binary Bit position. Decimal value.

Converting Decimal to/from Unsigned Binary Bit position. Decimal value.

5 Unsigned Binary to Decimal Example: Convert the unsigned binary number to decimal

6 Unsigned Binary to Decimal

8 Unsigned Binary to Decimal = 154 So, in unsigned binary is 154 in decimal.

9 Decimal to Unsigned Binary Example: Convert the decimal number 105 to unsigned binary.

10 Q. What is the highest power of 2 that is less than or equal to 105? A Next, consider the difference: =

11 1 Q. What is the highest power of 2 that is less than or equal to 41? A Next, consider the difference: = 9

12 1 Q. What is the highest power of 2 that is less than or equal to 9? A Next, consider the difference: = 1

13 1 Q. What is the highest power of 2 that is less than or equal to 1? A Next, consider the difference: = 0 Done!

14 1 Finally, fill the empty boxes with zeros So, 105 decimal is in unsigned binary.