Make sure to show your work in all the questions and brief explanation Convert t

Question

Make sure to show your work in all the questions and brief explanation

Convert the following :
?(67BE)?_16 to base 10:
?(135)?_10 to base 2:
?(1100100100111010)?_2to base 16:

Add the following numbers in binary using 2’s complement to represent negative numbers. Use word length of 6 bits ( including sign). And indicate if overflow occurs.
21+11
(-14)+ (-31)
(-11) +(-21)
(-12)+ 13

Repeat question 2 using 1’s complement to represent the negative numbers . Don’t forget that the word length of 6 bits ( including sign), and don’t forget also to indicate if overflow occurs.

Convert to hexadecimal then to decimal
?(111010110001.011)?_2
?(10110011101.11)?_2

Convert to hexadecimal then to binary:
?(757.25)?_10
?(123.17)?_10

Parity question
Design an odd parity generator
Design an odd parity checker.

Explanation / Answer

1. a. 67BE(to base 16) = 6*16^3 + 7*16^2 + B*16^1 +E*16^0 = 26558 B is 11, E is 14 (6 * (16^3)) + (7 * (16^2)) + (11 * (16^1)) + (14 * (16^0)) = 26558 b. you have to keep dividing the number by 2 and keep note of the remainder in the side till quotient is 1. The sequence of remainders from bottom to top is your binary number 135/2 = 67, remainder 1 67/2 = 33, remainder 1 33/2 = 16, remainder 1 16/2 = 8 remainder 0 8/2 = 4 remainder 0 4/2 = 2, remainder 0 2/2 = 1, remainder 0 from bottom to top 10000111(to base 2) c. to convert base 2 to base 16, just club 4 digits and write down the hex equivalent of those 4 digits 1100 1001 0011 1010 = C93A Rate and pm me for other answers.

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