Problem 1:
Convert to hexadecimal and then to binary. (a) (1305.375)₁₀ (b) (111.33)₁₀ (c) (301.12)₁₀
(d) (1644.875)₁₀
Problem 2:
and verify that they are the same: (a) (101111010100.101)₂ (b) (100001101111.01)₂
Problem 3:
Subtract in binary. Place a 1 over each column from which it was necessary to
borrow. (a) 10100100 – 01110011 (b) 10010011 – 01011001 (c) 11110011 -10011110
Problem 4:
(a) Assume the binary input given below are 1’s complement integers. Give decimal
value of the 1’s complement integer. Then find the 1’s complement of each input and
give the decimal equivalent of that result. You must find two sets of decimal equivalents
for each input given below.
(i) 00000000 (ii) 11111110 (iii) 00110011 (iv) 10000000
(b) Assume the binary input given above are 2’s complement integers. Give decimal
value of the 2’s complement integer. Then find the 2’s complement of each input and
give the decimal equivalent of that result. You must find two sets of decimal equivalents
for each input given above.

Sample Solution