knowledge check: unit 3\nknowledge\n1. complete the following table. provide a full solution of your…

Explanation:

Step1: Convert hexadecimal 4D3 to decimal and binary

• Decimal:
  • In hexadecimal, each digit represents a power of 16. For 4D3, we have (4\times16^{2}+13\times16^{1}+3\times16^{0}) (since D = 13 in decimal).
  • (4\times256+13\times16 + 3\times1=1024+208 + 3=1235).
  • Binary: First convert each hex - digit to 4 - bit binary. 4 is 0100 in binary, D (13) is 1101 in binary, 3 is 0011 in binary. So 4D3 in hexadecimal is 010011010011 in binary.

Step2: Convert binary 11011101 to decimal and hexadecimal

• Decimal: (1\times2^{7}+1\times2^{6}+0\times2^{5}+1\times2^{4}+1\times2^{3}+1\times2^{2}+0\times2^{1}+1\times2^{0}=128 + 64+0 + 16+8+4+0 + 1=221).
• Hexadecimal: Group the binary digits into groups of 4 from right - to - left: 1101 1101. 1101 is D in hexadecimal. So 11011101 in binary is DD in hexadecimal.

Step3: Convert decimal 64 to binary and hexadecimal

• Binary: Divide 64 by 2 successively. (64\div2 = 32) remainder 0, (32\div2=16) remainder 0, (16\div2 = 8) remainder 0, (8\div2=4) remainder 0, (4\div2 = 2) remainder 0, (2\div2=1) remainder 0, (1\div2 = 0) remainder 1. Reading the remainders from bottom - to - top, 64 in decimal is 1000000 in binary.
• Hexadecimal: Divide 64 by 16. (64\div16 = 4) remainder 0. So 64 in decimal is 40 in hexadecimal.

Decimal	Binary	Hexadecimal
1235	010011010011	4D3
221	11011101	DD
64	1000000	40

Answer:

Decimal	Binary	Hexadecimal
1235	010011010011	4D3
221	11011101	DD
64	1000000	40