drag each statement to the correct location. determine if the given statements are true or false. the…

drag each statement to the correct location. determine if the given statements are true or false. the hexadecimal equivalent of 222₁₀ is de. the binary equivalent of d7 is 11010011. the decimal equivalent of 13₁₆ is 19.

drag each statement to the correct location. determine if the given statements are true or false. the hexadecimal equivalent of 222₁₀ is de. the binary equivalent of d7 is 11010011. the decimal equivalent of 13₁₆ is 19.

Answer

Explanation:

Step1: Convert 222 decimal to hexadecimal

Divide 222 by 16: $222\div16 = 13$ remainder $14$ (E in hexadecimal). Then $13\div16=0$ remainder $13$ (D in hexadecimal). So $222_{10}=DE_{16}$, this statement is true.

Step2: Convert hexadecimal D7 to binary

D in hexadecimal is 13 in decimal, and its 4 - bit binary is 1101. 7 in hexadecimal is 7 in decimal, and its 4 - bit binary is 0111. So $D7_{16}=11010111_2$, not $11010011_2$, this statement is false.

Step3: Convert hexadecimal 13 to decimal

$13_{16}=1\times16^1 + 3\times16^0=16 + 3=19$, this statement is true.

Answer:

True: The hexadecimal equivalent of $222_{10}$ is DE., The decimal equivalent of $13_{16}$ is 19. False: The binary equivalent of D7 is 11010011.