Number Systems and Codes Questions

• Bit capacity question — maximum value with a fixed width: What is the largest unsigned decimal value representable using exactly six binary bits (no sign)?
• Hex-to-binary mapping cardinality: Each single hexadecimal digit directly maps to how many binary digits (bits)?
• Number systems — Convert the decimal fraction 1/4 into its exact binary fraction form. Choose the correctly written binary value (use a leading 0 before the point).
• BCD digit range — Identify the largest valid decimal digit that can be represented by a single 4-bit Binary-Coded Decimal (BCD) nibble.
• Base conversion — Convert the hexadecimal number 44 (base 16) to its decimal (base 10) value.
• BCD encoding — Write the Binary-Coded Decimal (BCD) representation for the decimal number 474 (three digits).
• Code property — Identify the unweighted code in which only one bit changes between successive code words (minimizes switching ambiguity).
• BCD validity check — Determine the decimal status of the single BCD nibble 1010. Is it a valid decimal digit encoding?
• Base conversion — Convert the hexadecimal value 44 (base 16) to its 8-bit binary representation (two hex digits map to one byte).
• Base conversion — Convert the hexadecimal number 16 (base 16) to its decimal (base 10) value.
• Base conversion — Convert the hexadecimal number AA (base 16) to its decimal (base 10) value.
• Character sets — A complete alphanumeric code typically includes 26 lowercase letters, 26 uppercase letters, 10 digits, 7 punctuation marks, and an additional set of special characters. Choose the most reasonable range for the number of these other characters.
• In character encoding using ASCII (American Standard Code for Information Interchange), adding a 0 to the leftmost (most significant) bit to form an 8-bit byte from a 7-bit character is called ________.
• In seven-segment display interfaces, resistors—typically about 300 Ω each—are placed in series between the decoder outputs and the display segments primarily to act as ________.
• Identify the most significant bit (MSB): For the binary number 11001, the MSB is ________.
• Identify the seven-bit character code: The ________ code represents alphanumeric characters (letters, digits, punctuation, and controls) as standardized seven-bit binary numbers.