Homework #1: Binary, Octal, and Hexadecimal Numbers

1. (conversion to base 10). Convert each of the following numbers into its equivalent form in base 10.
1. 757₈
2. 1101100₂
3. FFA₁₆
4. 100100001001₂
5. 1000₈
6. 1000₁₆
2. (conversion to target base). Convert each of the following base 10 numbers into its equivalent form in the indicated base.
1. 53 to base 2
2. 127 to base 8
3. 1023 to base 16
4. 500 to base 2
5. 798 to base 8
6. 3798 to base 16
3. (conversion between base 2 and base 8 or base 16). Convert each of the following binary numbers to the indicated base.
1. 1110011₂ to base 8
2. 10011100₂ to base 16
3. 1011011₂ to base 8
4. 11110011₂ to base 16
5. 1001000111000101₂ to base 8
6. 11100011001100011000₂ to base 16
4. (conversion between base 8 or base 16 and binary). Convert each of the following numbers in the indicated base to binary.
1. 2502₈
2. AFE0₁₆
3. 4077₈
4. 4077₁₆
5. 101₈
6. 8FC₁₆
5. (conversion between base 8 and base 16). Using the same numbers as in the previous exercise, convert the numbers in base 8 to base 16. and the numbers in base 16 to base 8.
6. (Binary addition). Perform the following additions in binary (where all numbers are given in binary):
1. 100110 + 111
2. 110111 + 101
3. 111110 + 10111
4. 111001 + 10001
5. 11011100110 + 10011001
6. 10101010 + 1111111
7. (Binary subtraction). Perform the following subtractions in binary (where all numbers are given in binary):
1. 100110 - 111
2. 110111 - 101
3. 111110 - 10111
4. 111001 - 10001
5. 11011100110 - 10011001
6. 10101010 - 1111111
8. Tocci, p. 51, exercise 2-17.
9. Tocci, p. 51, exercise 2-19.
10. Tocci, p. 51, exercise 2-21.
11. Tocci, p. 51, exercise 2-25.