Assignment I for MKU(B.Sc)

Question 1 Calculate the binary numbers: (a) 11 + 1 (b) 11 + 11 (c) 111 + 11 (d) 111 + 10 (e) 1110 + 111 (f) 1100 + 110 (g) 1111 + 10101 (h) 1100 + 11001 (i) 1011 + 1101 (j) 1110 + 10111 (k) 1110 + 1111 (l) 11111 + 11101 Question 2 Calculate the binary numbers: (a) 11 – 10 (b) 110 – 10 (c) 1111 – 110 (d) 100 – 10 (e) 100 – 11 (f) 1000 – 11 (g) 1101 – 110 (h) 11011 – 110 (i) 1111 – 111 (j) 110101 – 1010 (k) 11011 – 111 (l) 11110 – 111 Question 3 Calculate the binary numbers: (a) 11 + 11 (b) 111 + 111 (c) 1111 + 1111 (d) 11111 + 11111 Question 4 Calculate the binary numbers: (a) 10 + 10 (b) 100 + 100 (c) 1000 + 1000 (d) 10000 + 10000 Question 5 Solve the following equations, where all numbers, including x, are binary: (a) x + 11 = 1101 x = (b) x – 10 = 101 x =  (c) x – 1101 = 11011 x = (d) x + 1110 = 10001 x = (e) x + 111 = 11110 x = (f) x – 1001 = 11101 x = Question 6 Calculate the binary numbers: (a) 10 – 1 (b) 100 – 1 (c) 1000 – 1 (d) 10000 – 1 Question 7  (a) Convert the binary numbers 11101 and 1110 to base 10. and (b) Add together the two base 10 numbers. (c) Add together the two binary numbers. (d) Convert your answer to base 10 and compare with your answer to (b). Question 8 (a) Convert the binary numbers 11101 and 10111 to base 10. and (b) Calculate the difference between the two base 10 numbers. (c) Convert your answer to (b) into a binary number. (d) Calculate the difference between the two binary numbers and compare with your answer to (c). Question 9 Here are 3 binary numbers: 1110101 1011110 1010011 Working in binary, (a) add together the two smaller numbers, (b) add together the two larger numbers, (c) take the smallest number away from the largest number, (d) add together all three numbers. Question 10 Calculate the binary numbers: (a) 111+101+100 (b) 11101+10011+110111

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