Question: Convert 11101011 to hexadecimal.

Step 1: Split the binary number into two nibbles

• A nibble is a group of 4 bits, so we split the 8-bit binary number into two nibbles:1110 and 1011.
• This makes it easier to convert each nibble to hexadecimal.

Step 2: Convert the first nibble to hex

• The first nibble is 1110.
• 1110 in binary is equivalent to E in hexadecimal.
• This is because the binary value 1110 represents 14, and 14 is E in hex.

Step 3: Convert the second nibble to hex

• The second nibble is 1011.
• 1011 in binary is equivalent to B in hexadecimal.
• This is because the binary value 1011 represents 11, and 11 is B in hex.

Step 4: Combine the hex digits

• Now that we've converted both nibbles, we combine the hex digits E and B.
• Therefore, 11101011 in binary is EB in hexadecimal.

Final Answer: Hexadecimal equivalent

• The binary number 11101011 is equal to EB in hexadecimal.

Question: Convert 10011011 to hexadecimal.

Step 1: Split the binary number into two nibbles

• A nibble is a group of 4 bits, so we split the 8-bit binary number into two nibbles:1001 and 1011.
• This makes it easier to convert each nibble to hexadecimal.

Step 2: Convert the first nibble to hex

• The first nibble is 1001.
• 1001 in binary is equivalent to 9 in hexadecimal.
• This is because the binary value 1001 represents 9, which is the same in both denary and hexadecimal.

Step 3: Convert the second nibble to hex

• The second nibble is 1011.
• 1011 in binary is equivalent to B in hexadecimal.
• This is because the binary value 1011 represents 11, and 11 is B in hex.

Step 4: Combine the hex digits

• Now that we've converted both nibbles, we combine the hex digits 9 and B.
• Therefore, 10011011 in binary is 9B in hexadecimal.

Final Answer: Hexadecimal equivalent

• The binary number 10011011 is equal to 9B in hexadecimal.

Question: Convert hex 7D to binary.

Step 1: Convert the first hex digit to binary

• The first hex digit is 7.
• In hexadecimal, 7 is represented as 0111 in binary.
• This is because 7 in hex is the same as 7 in denary, and 7 in binary is 0111 (using 4 bits).

Step 2: Convert the second hex digit to binary

• The second hex digit is D.
• In hexadecimal, D is equivalent to 1101 in binary.
• This is because D in hex represents 13 in denary, and 13 in binary is 1101.

Step 3: Combine the two binary groups

• Now that we've converted both hex digits, we combine their binary equivalents:0111 (for 7) and 1101 (for D).
• Therefore, 7D in hex is 01111101 in binary.

Final Answer: Binary equivalent

• The hexadecimal number 7D is equal to 01111101 in binary.

Question: Convert hex A4 to binary.

Step 1: Convert the first hex digit to binary

• The first hex digit is A.
• In hexadecimal, A is represented as 1010 in binary.
• This is because A in hex represents 10 in denary, and 10 in binary is 1010 (using 4 bits).

Step 2: Convert the second hex digit to binary

• The second hex digit is 4.
• In hexadecimal, 4 is represented as 0100 in binary.
• This is because 4 in both hex and denary is the same, and 4 in binary is 0100.

Step 3: Combine the two binary groups

• Now that we've converted both hex digits, we combine their binary equivalents:1010 (for A) and 0100 (for 4).
• Therefore, A4 in hex is 10100100 in binary.

Final Answer: Binary equivalent

• The hexadecimal number A4 is equal to 10100100 in binary.

Key Points to Remember

• Hexadecimal uses 16 different digits: 0-9 and A-F (where A = 10, B = 11, up to F = 15).
• Binary uses 2 digits: 0 and 1.
• 1 hex digit = 4 binary digits.
• To convert binary to hex, group binary into 4-bit nibbles and convert each to a hex digit.
• To convert hex to binary, replace each hex digit with its 4-bit binary equivalent.