[Miles-to-Kilometers Converter with Storage] Design a sequential circuit that (1) takes as input a 4-bit unsigned integer value in miles (A), (2) zero-extends A to 8 bits to ensure that no overflow occurs after conversion to kilometers, (3) applies corresponding circuitry to compute an approximated value for B = A x 1.609 (A converted into kilometers), and (4) stores B as 8-bit unsigned integer into a 8-bit register.

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[Miles-to-Kilometers Converter with Storage] Design a sequential circuit that (1) takes as input a 4-bit
unsigned integer value in miles (A), (2) zero-extends A to 8 bits to ensure that no overflow occurs after
conversion to kilometers, (3) applies corresponding circuitry to compute an approximated value for
B = A x 1.609 (A converted into kilometers), and (4) stores B as 8-bit unsigned integer into a 8-bit register.
To represent 1.609 in binary, you need to be precise to at least four fraction digits in binary, and not exceed
the value of 1.609. You need to include one register. You may also use shifters, adders, and multiplexers. To
always shift by a specific amount, insert the amount in the shifter title (e.g., "<<3" to shift left by 3).
Since we are not using floating-point arithmetic, the resulting value is an integer approximation for the
given number of bits available for storage.
B = A x 1.609 = A + A x 0.609 = A + A x 0.10012 (0.562510) = A + (A >> 1) + (A >> 4)
Transcribed Image Text:[Miles-to-Kilometers Converter with Storage] Design a sequential circuit that (1) takes as input a 4-bit unsigned integer value in miles (A), (2) zero-extends A to 8 bits to ensure that no overflow occurs after conversion to kilometers, (3) applies corresponding circuitry to compute an approximated value for B = A x 1.609 (A converted into kilometers), and (4) stores B as 8-bit unsigned integer into a 8-bit register. To represent 1.609 in binary, you need to be precise to at least four fraction digits in binary, and not exceed the value of 1.609. You need to include one register. You may also use shifters, adders, and multiplexers. To always shift by a specific amount, insert the amount in the shifter title (e.g., "<<3" to shift left by 3). Since we are not using floating-point arithmetic, the resulting value is an integer approximation for the given number of bits available for storage. B = A x 1.609 = A + A x 0.609 = A + A x 0.10012 (0.562510) = A + (A >> 1) + (A >> 4)
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