Chapter 5
Basic Engineering Mathematics · 19 exercises
Problem 1
Convert \(11011_{2}\) to a denary number.
5 step solution
Problem 2
Convert \(0.1011_{2}\) to a decimal fraction.
6 step solution
Problem 3
Convert \(101.0101_{2}\) to a denary number.
3 step solution
Problem 4
Convert \(47_{10}\) to a binary number.
7 step solution
Problem 5
Convert \(0.40625_{10}\) to a binary number.
6 step solution
Problem 6
Convert \(58.3125_{10}\) to a binary number.
4 step solution
Problem 7
Convert \(3714_{10}\) to a binary number, via octal.
2 step solution
Problem 8
Convert \(0.59375_{10}\) to a binary number, via octal.
2 step solution
Problem 9
Convert \(5613.90625_{10}\) to a binary number, via octal.
4 step solution
Problem 10
Convert \(11110011.10001_{2}\) to a denary number via octal.
7 step solution
Problem 11
Convert \(11110011.10001_{2}\) to a denary number via octal.
5 step solution
Problem 12
Convert the following hexadecimal numbers into their decimal equivalents: (a) C9 \(_{16}\) (b) \(\mathrm{BD}_{16}\)
7 step solution
Problem 13
Convert \(1 \mathrm{~A} 4 \mathrm{E}_{16}\) into a denary number.
6 step solution
Problem 14
Convert the following decimal numbers into their hexadecimal equivalents: (a) \(37_{10}\) (b) \(108_{10}\)
4 step solution
Problem 15
Convert the following decimal numbers into their hexadecimal equivalents: (a) \(162_{10}\) (b) \(239_{10}\)
6 step solution
Problem 16
Convert the following binary numbers into their hexadecimal equivalents: (a) \(11010110_{2}\) (b) \(1100111_{2}\)
5 step solution
Problem 17
Convert the following binary numbers into their hexadecimal equivalents: (a) \(11001111_{2}\) (b) \(110011110_{2}\)
3 step solution
Problem 18
Convert the following hexadecimal numbers into their binary equivalents: (a) \(3 \mathrm{~F}_{16}\) (b) \(\mathrm{A} 6_{16}\)
4 step solution
Problem 19
Convert the following hexadecimal numbers into their binary equivalents: (a) \(7 \mathrm{~B}_{16} \quad\) (b) \(17 \mathrm{D}_{16}\)
4 step solution