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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
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### Part 1: - Hexadecimal 4A to Binary: 01001010- Hexadecimal 7F to Binary: 01111111- Hexadecimal 1C to Binary: 00011100- Hexadecimal 9B to Binary: 10011011- Hexadecimal E2 to Binary: 11100010### Part 2:- Binary 10101011 to Hexadecimal: AB- Binary 11001100 to Hexadecimal: CC- Binary 01101111 to Hexadecimal: 6F- Binary 10010001 to Hexadecimal: 91- Binary 11100010 to Hexadecimal: E2
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## Step 1: Convert Hexadecimal to Binary### To convert a hexadecimal number to binary, each hex digit is replaced by its 4-bit binary equivalent.- **Hexadecimal: 4A** - '4' in hexadecimal is '0100' in binary. - 'A' in hexadecimal is '1010' in binary. - Therefore, the binary equivalent of '4A' is '01001010'.- **Hexadecimal: 7F** - '7' in hexadecimal is '0111' in binary. - 'F' in hexadecimal is '1111' in binary. - Therefore, the binary equivalent of '7F' is '01111111'.- **Hexadecimal: 1C** - '1' in hexadecimal is '0001' in binary. - 'C' in hexadecimal is '1100' in binary. - Therefore, the binary equivalent of '1C' is '00011100'.- **Hexadecimal: 9B** - '9' in hexadecimal is '1001' in binary. - 'B' in hexadecimal is '1011' in binary. - Therefore, the binary equivalent of '9B' is '10011011'.- **Hexadecimal: E2** - 'E' in hexadecimal is '1110' in binary. - '2' in hexadecimal is '0010' in binary. - Therefore, the binary equivalent of 'E2' is '11100010'.## Step 2: Convert Binary to Hexadecimal### 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.- **Binary: 10101011** - Group: '1010' and '1011' - '1010' in binary is 'A' in hexadecimal. - '1011' in binary is 'B' in hexadecimal. - Therefore, the hexadecimal equivalent of '10101011' is 'AB'.- **Binary: 11001100** - Group: '1100' and '1100' - '1100' in binary is 'C' in hexadecimal. - Therefore, the hexadecimal equivalent of '11001100' is 'CC'.- **Binary: 01101111** - Group: '0110' and '1111' - '0110' in binary is '6' in hexadecimal. - '1111' in binary is 'F' in hexadecimal. - Therefore, the hexadecimal equivalent of '01101111' is '6F'.- **Binary: 10010001** - Group: '1001' and '0001' - '1001' in binary is '9' in hexadecimal. - '0001' in binary is '1' in hexadecimal. - Therefore, the hexadecimal equivalent of '10010001' is '91'.- **Binary: 11100010** - Group: '1110' and '0010' - '1110' in binary is 'E' in hexadecimal. - '0010' in binary is '2' in hexadecimal. - Therefore, the hexadecimal equivalent of '11100010' is 'E2'.