00:01
Hi, for the first question given here, we have to convert a binary number which is given as 10111001 to a hexadecimal number.
00:14
So from the data that can be used to convert binary to a hexadecimal, we can group the bits as a group of four numbers.
00:26
So this will be one group and this will be the second group.
00:30
Converting each group to its hexadecimal equivalent, we have 1011 as b and 1001 as 9.
00:42
Thus we can write 10111001 as equivalent to hexadecimal b9.
00:54
Now moving to the second question, we have to convert a decimal number minus 19 to a 8 -bit binary number in 2's complement.
01:04
So moving as step by step, we have to convert the absolute value of minus 19 to binary representation using 8 bits.
01:14
That is the absolute value of minus 19 is 19, which can be represented in binary digits as 00010011.
01:25
Now invert all the bits of the binary representation obtained in the first step.
01:31
That is, it becomes 11101100.
01:37
Now add 1 to the inverted binary representation.
01:44
That is, it becomes 11101101.
01:51
Therefore 2's complement of representation of minus 19 of an 8 -bit binary number can be written as 11101101.
02:03
Moving to the third question, that is, we have to convert the complement number 1110111 to a decimal number.
02:16
So the step by step is explained here.
02:18
Determine if the number is negative or positive.
02:21
So the leftmost bit of the given number is 1.
02:28
So the number is negative.
02:32
Now convert the binary number to decimal taking into account the sign of the number...