**Quiz Question: Decimal to Hexadecimal Conversion**The decimal number 66₁₀ written as the converted and equivalent hex value equals $42.- ○ True- ○ False**Explanation:**This question tests the understanding of number systems conversion from decimal to hexadecimal. The decimal number, indicated as 66 with a subscript "10" to denote it's in base 10 (decimal), is to be converted to a hexadecimal value (base 16). The question is asking whether this conversion results in the hexadecimal value $42. The binary number 1110_1110 written as the converted and equivalent decimal value equals 66₁₀.- ○ True- ○ FalseThis question asks you to determine whether the binary number 1110 1110 is equivalent to the decimal number 66. You are given options to select whether this statement is true or false.

A binary number is a number expressed in the base 2 numeral system or binary numeral system a method of mathematical expression which uses only two symbols 0 and 1.The decimal number 6610 written as the converted and equivalent hex value equals $42. True False Answer : False Explanation : Divide by the base 16 to get the digits from the remainders : Division by 16 Quotient Remainder Digit (66)/16 4 2 0 (4)/16 0 4 1 = (42)16 The decimal number 6610 written as the converted and equivalent hex value equals (42)16.The binary number 1110_1110 written as the converted and equivalent decimal value equals 6610. True False Answer : False Explanation: (11101110)₂ = (1 × 2⁷) + (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (1 × 2²) + (1 × 2¹) + (0 × 2⁰) = (238)₁₀ The binary number 1110_1110 written as the converted and equivalent decimal value equals (238)₁₀.