Reference no: EM132485054
Assignment Questions -
Q1. Convert the following decimal numbers to binary using the division method:
(i) 73
(ii) 121
(iii) 84
In each case, check your work by using the power of each digit to convert back to decimal.
Q2. Convert the following hexadecimal numbers to decimal:
(a) 4E
(b) 3D70
Q3. (a) Use the hexadecimal notation to perform the following addition:
2AB3
+ 35DC
(b) Add the following numbers:
1 FF9
+ F7
Q4. Add the following binary numbers:
(a)
101101101
+ 10011011
(b)
110111111
+ 110111111
Repeat the previous additions by converting each number to hexadecimal, adding, and then converting the result back to binary.
Q5. (a) Using the powers of each digit in base 8, convert the decimal number 6026 to octal.
(b) Using the powers of each digit in hexadecimal, convert the decimal number 6026 to hexadecimal.
Q6. Convert the following hexadecimal numbers to binary:
(a) 4F6A
(b) 9902
Q7. Convert the following numbers from decimal to binary and then to hexadecimal:
(a) 27.625
(b) 4192.37761
Q8. What is the decimal value of the binary numbers?
(a) 1100101.1
(b) 1110010.11
(c) 11100101.1
Comment on the result of part (c) in relation to that of (b). Explain.
Q9. Give the binary representations (expressed in hexadecimal) of the characters:
(a) A
(b) $
Q10. Write the binary representations (expressed in hexadecimal) of the character strings:
(a) Hello
(b) World
Q11. What is the ASCII representation for the numeral -3.1415 in binary? In octal? In hexadecimal? In decimal?
Q12. What character string does the following binary ASCII code represent?
1010100 1101000 1101001 1110011 0100000 1101001 1110011 0100000 1000101 1000001 1010011 1011001 0100001
Q13. Convert the following decimal numbers to binary and then represent them in IEEE 754 floating point format. Express the answer in hexadecimal.
(a) 27.875
(b) -54.375
Q14. Represent the following fixed point binary numbers in IEEE 754 floating point format. Express the answer in hexadecimal.
(a) +10101011.1012
(b) -0.0001011012
Note - Please include all the working and steps used to arrive at the answers.
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