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Step 11 2.03DP (a) The given hexadecimal number, To convert the given hexadecimal number to its binary equivalent, simply replace each hexadecimal digit with the corresponding 4 bit binary value string. 0001 0000 0010 0011, =1000000100011, Thus, the required binary equivalent of the given hexadecimal number is 1000000100011 Step of 11 Now, separate the bits in the binary equivalent of the given number into groups of three bits and replace each group with corresponding octal digit and freely add zeroes on the left to make the total of bits a multiple of three. 1000000100011, =001 000 000 100 011, =10043, Thus, the required octal equivalent of the given hexadecimal number is 10043, Step 11 (b) The given hexadecimal number, To convert the given hexadecimal number to its binary equivalent, simply replace each hexadecimal digit with the corresponding bit binary value =0111 1110 0110 1010, =111111001101010, Thus, the required binary equivalent of the given hexadecimal number is Step 11 Now, separate the bits in the binary equivalent of the given number into groups of three bits and replace each group with corresponding octal digit and freely add zeroes on the left to make the total of bits a multiple of three. 111111001101010, 111 111 001 101 010, Thus, the required octal equivalent of the given hexadecimal number is Step 11 (c) The given hexadecimal number, To convert the given hexadecimal number to its binary equivalent, simply replace each hexadecimal digit with the corresponding 4 bit binary value string. =1010 1011 1100 =1010101111001101, Thus, the required binary equivalent of the given hexadecimal number is Step 11 Now, separate the bits in the binary equivalent of the given number into groups of three bits and replace each group with corresponding octal digit and add zeroes on the left to make the total of bits multiple of three. 1010101111001101, =001 010 101 111 001 101, =125715, Thus, the required octal equivalent of the given hexadecimal number is 125715, Step 11 (d) The given hexadecimal number, To convert the given hexadecimal number to its binary equivalent, simply replace each hexadecimal digit with the corresponding 4 bit binary value =1100 0011 0101 =1100001101010000, Thus, the required binary equivalent of the given hexadecimal number is 1100001101010000, Step 11 Now, separate the bits in the binary equivalent of the given number into groups of three bits and replace each group with corresponding octal digit and add zeroes on the left to make the total of bits multiple of three. 1100001101010000, =001 100 001 101 010 000, Thus, the required octal equivalent of the given hexadecimal number is 141520, (e) The given hexadecimal number, 9E36.7A To convert the given hexadecimal number to its binary equivalent, simply replace each hexadecimal digit with the corresponding bit binary value string. 1001 1110 0011 0110.0111 1010, Thus, the required binary equivalent of the given hexadecimal number is 1001111000110110.01111010, Step 11 Now, separate the bits in the binary equivalent of the given number into groups of three bits and replace each group with corresponding octal digit and add zeroes on the left to make the total of bits multiple of three. 001 111 000 110 110.011 110 100, =117066.364 Thus, the required octal equivalent of the given hexadecimal number is Step 11 (f) The given hexadecimal number, To convert the given hexadecimal number to its binary equivalent, simply replace each hexadecimal digit with the corresponding 4 bit binary value string. 1101 1110 1010 1101.1011 1110 1110 1111, Thus, the required binary equivalent of the given hexadecimal number is Step 11 Separate the bits in the binary equivalent of the given number into groups of three bits and replace each group with corresponding octal digit and add zeroes on the left to make the total of bits multiple of three (001 101 111 010101 101.101 111 101 110 111 Thus, the required octal equivalent of the given hexadecimal number is