Binary Arithmetic

1. Give the binary representation of the base 10 number 53.
   
   
   
   
   
   
   
   
   
   
   
   
   
   
2. Give the binary representation of the base 10 number 178.
   
   
   
   
   
   
   
   
   
   
   
   
   
   
3. Give the base 10 representation of the binary number 101110.
   
   
   
   
   
   
   
   
   
   
   
   
   
   
4. Give the base 10 representation of the binary number 10110111.
   
   
   
   
   
   
   
   
   
   
   
   
   
   
5. Add the binary numbers 1111101 and 110100 without converting to base 10. Please show your work. Correct carrying is part of the point of this exercise.
   
   
   
   
   
   
   
   
   
   
   
   
   
   
6. Compute the difference 1001011 - 110100 of the binary numbers 1001011 and 110100 without converting to base 10. Please show your work. Correct borrowing is part of the point of this exercise.
   
   
   
   
   
   
   
   
   
   
   
   
   
   
7. Compute the product 1011 *1101 of the binary numbers 1011 and 1101 without converting to base 10. Please show your work.