Hexadecimal to Binary and Binary to Hexadecimal Worksheet Instructions: For each problem, convert the number from hexadecimal to binary or from binary to hexadecimal as indicated. Part 1: Hexadecimal to Binary Hexadecimal: 4A Hexadecimal: 7F Hexadecimal: 1C Hexadecimal: 9B Hexadecimal: E2 Part 2: Binary to Hexadecimal Binary: 10101011 Binary: 11001100 Binary: 01101111 Binary: 10101001 Hexadecimal: Hexadecimal: Hexadecimal: Hexadecimal: Hexadecimal: Hexadecimal: Hexadecimal: Hexadecimal: Hexadecimal Hexadecimal Binary Binary: Hexadecimal Binary Binary Binary Binary Binary

## Step 1: Convert Hexadecimal to Binary<br />### To convert a hexadecimal number to binary, each hex digit is replaced by its 4-bit binary equivalent.<br /><br />- **Hexadecimal: 4A**<br /> - '4' in hexadecimal is '0100' in binary.<br /> - 'A' in hexadecimal is '1010' in binary.<br /> - Therefore, the binary equivalent of '4A' is '01001010'.<br /><br />- **Hexadecimal: 7F**<br /> - '7' in hexadecimal is '0111' in binary.<br /> - 'F' in hexadecimal is '1111' in binary.<br /> - Therefore, the binary equivalent of '7F' is '01111111'.<br /><br />- **Hexadecimal: 1C**<br /> - '1' in hexadecimal is '0001' in binary.<br /> - 'C' in hexadecimal is '1100' in binary.<br /> - Therefore, the binary equivalent of '1C' is '00011100'.<br /><br />- **Hexadecimal: 9B**<br /> - '9' in hexadecimal is '1001' in binary.<br /> - 'B' in hexadecimal is '1011' in binary.<br /> - Therefore, the binary equivalent of '9B' is '10011011'.<br /><br />- **Hexadecimal: E2**<br /> - 'E' in hexadecimal is '1110' in binary.<br /> - '2' in hexadecimal is '0010' in binary.<br /> - Therefore, the binary equivalent of 'E2' is '11100010'.<br /><br />## Step 2: Convert Binary to Hexadecimal<br />### To convert a binary number to hexadecimal, group the binary digits into sets of four (starting from the right), and then replace each set with the corresponding hexadecimal digit.<br /><br />- **Binary: 10101011**<br /> - Group: '1010' and '1011'<br /> - '1010' in binary is 'A' in hexadecimal.<br /> - '1011' in binary is 'B' in hexadecimal.<br /> - Therefore, the hexadecimal equivalent of '10101011' is 'AB'.<br /><br />- **Binary: 11001100**<br /> - Group: '1100' and '1100'<br /> - '1100' in binary is 'C' in hexadecimal.<br /> - Therefore, the hexadecimal equivalent of '11001100' is 'CC'.<br /><br />- **Binary: 01101111**<br /> - Group: '0110' and '1111'<br /> - '0110' in binary is '6' in hexadecimal.<br /> - '1111' in binary is 'F' in hexadecimal.<br /> - Therefore, the hexadecimal equivalent of '01101111' is '6F'.<br /><br />- **Binary: 10010001**<br /> - Group: '1001' and '0001'<br /> - '1001' in binary is '9' in hexadecimal.<br /> - '0001' in binary is '1' in hexadecimal.<br /> - Therefore, the hexadecimal equivalent of '10010001' is '91'.<br /><br />- **Binary: 11100010**<br /> - Group: '1110' and '0010'<br /> - '1110' in binary is 'E' in hexadecimal.<br /> - '0010' in binary is '2' in hexadecimal.<br /> - Therefore, the hexadecimal equivalent of '11100010' is 'E2'.