List the octal and hexadecimal numbers from (16)10 to (32)10.
1. List the octal and hexadecimal numbers from (16)10 to (32)10.
2. Convert the following numbers with indicated bases to decimal.
(a) (4310)5
(b) (123)8
(c) (2F A)16
(d) (212)3
3. What is the largest binary number that can be expressed with:
(a) 8 bits,
(b) 10 bits,
(c) 16 bits.
In each case, write their decimal and hexadecimal equivalents.
4. Determine the base of the numbers for the following operation to be correct: 54/4 = 13
5. Convert the hexadecimal number 68BE to binary, and then convert it from binary to Octal.
6. Convert the decimal number 431 to binary in two ways:
(a) Convert directly to binary.
∗Engr. Sheraz Ali Khan, PhD
1
(b) First convert it into hexadecimal and then from hexadecimal to binary. Which is faster in your
opinion?
7. Express the following numbers in decimal:
(a) (10110.0101)2
(b) (26.24)8
(c) (F AF A.B)16
8. Solve the following conversion problems:
(a) Convert the decimal number 27.315 to binary.
(b) Calculate the binary equivalent of 2/3 to eight places after the binary point. Then convert the
binary equivalent back to decimal and see if you get the same result.
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