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Step of 9 2.01DP (a) The given binary number, 1101011, To convert the given binary number to its hexadecimal equivalent, separate the bits in the given binary number into groups of four bits and replace each group with corresponding hexadecimal digit. We can freely add zeroes on the left to make the total number of bits a multiple of 4 as required. 1101011, 1011, Thus, the required hexadecimal equivalent of the given binary number is Step of 9 (b) The given octal number, To convert the given octal number to its binary equivalent, simply replace each octal digit with the corresponding 3 bit binary value string. =001 111 100 000 000 011, =1111100000000011, Thus, the required binary equivalent of the given octal number is 1111100000000011 Step of 9 (c) The given binary number, 10110111, To convert the given binary number to its hexadecimal equivalent, separate the bits in the given binary number into groups of four bits and replace each group with corresponding hexadecimal digit. 10110111,=1011 01111, Thus, the required hexadecimal equivalent of the given binary number is B7, Step of 9 (d) The given octal number, 67.24 To convert the given octal number to its binary equivalent, simply replace each octal digit with the corresponding 3 bit binary value string. =110 111.010 100, =110111.0101, Thus, the required binary equivalent of the given octal number is 110111.0101 Step of 9 (e) The given binary number, 10100.1101, To convert the given binary number to its hexadecimal equivalent, separate the bits in the given binary number into groups of four bits and replace each group with corresponding hexadecimal digit 10100.1101, 0001 0100.1101, Thus, the required hexadecimal equivalent of the given binary number is Step of 9 (f) The given hexadecimal number, To convert the given octal number to its binary equivalent, simply replace each octal digit with the corresponding 4 bit binary value string. =1111 0011 1010 0101, =1111001110100101, Thus, the required binary equivalent of the given hexadecimal number is Step of 9 (g) The given binary number, 11011001, To convert the given binary number to its octal equivalent, separate the bits in the given binary number into groups of three bits and replace each group with corresponding octal digit. We can freely add zeroes on the left to make the total number of bits a multiple of three as required. =011 011 001, Thus, the required octal equivalent of the given binary number is 331, (h) The given hexadecimal number, AB3D16 To convert the given octal number to its binary equivalent, simply replace each octal digit with the corresponding 4 bit binary value string. =1010 1011 0011 =1010101100111101, Thus, the required binary equivalent of the given hexadecimal number is 1010101100111101 Step of 9 (i) The given binary number, 101111.0111, To convert the given binary number to its octal equivalent, separate the bits in the given binary number into groups of three bits and replace each group with corresponding octal digit. 101111.0111, 111.011 100, Thus, the required octal equivalent of the given binary number is Step of 9 (j) The given hexadecimal number, To convert the given octal number to its binary equivalent, simply replace each octal digit with the corresponding 4 bit binary value string. 0101 1100.0011 1000, =101011100.00111, Thus, the required binary equivalent of the given hexadecimal number is 101011100.00111,