Directions for Questions 35to 39:Convert the given binary numbers.Q.(1...
Explanation:
To convert a binary number to hexadecimal, we can group the binary digits into groups of 4 from right to left. If the number of digits is not a multiple of 4, we can add leading zeros to the leftmost group.
In this case, the given binary number is (1110 0111)2.
Step 1: Group the binary digits into groups of 4 from right to left:
(1110 0111)2 = 1110 0111
Step 2: Add leading zeros to the leftmost group:
1110 0111 = 1110 0111
Step 3: Convert each group of 4 binary digits to a hexadecimal digit:
1110 = E
0111 = 7
Step 4: Combine the hexadecimal digits:
(E7)16
Therefore, the given binary number (1110 0111)2 is equal to (E7)16 in hexadecimal.
Summary:
To convert a binary number to hexadecimal:
1. Group the binary digits into groups of 4 from right to left.
2. Add leading zeros to the leftmost group if necessary.
3. Convert each group of 4 binary digits to a hexadecimal digit.
4. Combine the hexadecimal digits to get the final result.
In this case, the binary number (1110 0111)2 is converted to (E7)16 in hexadecimal.