3 of 3Q3.a) Convert each binary number to decimal, octal and hexadecimal: [14 marks]i. 101010101110ii. 101011000.011iii. 10111011.1110

1. Decimal to Binary: - Start with the decimal number. - Divide the number by 2 and write down the remainder. - Repeat the division process with the quotient until it becomes 0. - Write down the remainders in reverse order. This is the binary equivalent.2. Binary to Decimal: - Start with the binary number. - Multiply each digit by 2 raised to the power of its position (starting from 0). - Sum up all these values. The result is the decimal equivalent.3. Binary to Hexadecimal: - Start with the binary number. - Group the binary digits into sets of four, starting from the right. - Convert each group of four into its hexadecimal equivalent (e.g., 0001 is 1, 1010 is A, 1111 is F). - Write down these hexadecimal digits in the same order. This is the hexadecimal equivalent.

Convert the hexadecimal number F3A7C2 to binary, octal and decimal.

The following 16-bit hexadecimal numbers represent signed integers. Convert each to decimal. a. 6BF9 b. C123

To convert a hex number into its corresponding octal form, the hex number is first converted into its corresponding binary form and then to the octal form.Given below are the detailed steps to be followed, to convert a hex into its corresponding octal form:Convert each hex digit into its corresponding four binary digits (bits) from right to left.Combine all the binary digits.Separate the binary digits into groups of 3 bits each, from right to left.Ensure that the group on the extreme left has 3 bits by prefixing the necessary number of zeros.Find the octal equivalent of each group and combine the resultant digits.For example, hexadecimal number 0x5AF6 is converted into binary as follows:Hex Number -> 5 A F 6Binary Number -> 0101 1010 1111 0110Binary Number -> 0101101011110110Binary Number -> 0 101 101 011 110 110Binary Number -> 000 101 101 011 110 110 // After prefixing zeros in the left most groupOctal Number -> 0 5 5 3 6 6Octal Number -> 055366Hence, the octal equivalent of the given hexadecimal number is (55366)8Click on Live Demo to understand the conversion of a hexadecimal number to its corresponding octal form.Similarly an octal number can be converted into a hex using the steps given below:Convert each octal digit into its corresponding three binary digits (bits) from right to left.Combine all the binary digits.Separate the binary digits into groups of 4 bits each, from right to left.Ensure that the group on the extreme left has 4 bits by prefixing the necessary number of zeros.Find the hex equivalent of each group and combine the resultant digits.For example, an octal number 0246 is converted into hexadecimal as followsOctal Number -> 2 4 6Binary Number -> 010 100 110Binary Number -> 010100110Binary Number -> 0 1010 0110Binary Number -> 0000 1010 0110 // After prefixing zeros in the left most groupHex Number -> 0 A 6Hex Number -> 0X0A6Hence, the hex equivalent of the given octal number is (A6)16Click on Live Demo to understand the conversion of an octal number into its corresponding hexadecimal from.Select all the correct statements from the given statements.(ABCD)16 is a hexadecimal number.Each hexadecimal digit is represented as four bit binary number.Octal number (157)8 is equivalent to the hexadecimal number (6F)16.Hexadecimal number (369)16 is equivalent of octal number (1561)8.

Convert hexadecimal number 12345 into binary number. Question 34 options: /10001111101000101 /10010000101000101 /10010001101000101 /100100001101000110