Question

Mark each statement as true or false.

—————————-
Adding one extra bit to 3 bit code to make it 4-bit code, doubles the number of available codesThe range of decimal values that can be expressed in 6-bits using binary two's complement is -32 to 31.
In IEEE-754 floating point standard the mantissa is represented in 24-bits.
Computers internally compute and calculate the decimal numbers as binary numbers.
With five bit binary number, the highest number in decimal is 32.
Two's complete of the positive binary number 00010010 is 00010010

Answer 1

Statements about computing and binary representations were evaluated as true or false, with explanations provided for each statement.

Step-by-step explanation:

Marking each statement as true or false, based on the given context of computing and binary representations:

• Adding one extra bit to a 3-bit code to make it a 4-bit code doubles the number of available codes - True. A 3-bit code can represent 2^3 = 8 combinations, whereas a 4-bit code can represent 2^4 = 16 combinations.
• The range of decimal values that can be expressed in 6-bits using binary two's complement is -32 to 31 - True. Two's complement notation allows for both positive and negative numbers to be represented.
• In IEEE-754 floating point standard the mantissa is represented in 24-bits - False. The mantissa, also known as the significand, is typically 23 bits plus an implicit leading bit that's always assumed to be 1 in normalized numbers.
• Computers internally compute and calculate the decimal numbers as binary numbers - True. Computers use binary logic (bits) for all internal calculations and representations.
• With a five-bit binary number, the highest number in decimal is 32 - False. The highest value with a five-bit binary number is 2^5 - 1 = 31.
• Two's complement of the positive binary number 00010010 is 00010010 - False. To find the two's complement, you flip the bits and add one, resulting in 11101110.