Design a circuit which will add a 4-bit binary number to a 5-bit binary number. Use five full adders. Assume negative numbers are represented in 2's complement. (Hint: How do you make 4-bit binary number into a 5-bit binary number, without making a negative number positive or a positive number negative?) a
Design a circuit which will add a 4-bit binary number to a 5-bit binary number. Use five full adders. Assume negative numbers are represented in 2's complement. (Hint: How do you make 4-bit binary number into a 5-bit binary number, without making a negative number positive or a positive number negative?) a
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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![Question 3:
a) Design a circuit which will add a 4-bit binary number to a 5-bit binary number. Use five full
adders. Assume negative numbers are represented in 2's complement. (Hint: How do you make
a 4-bit binary number into a 5-bit binary number, without making a negative number positive or
a positive number negative?)
b) A half adder is a circuit that adds two bits to give a sum and a carry. Give the truth table for a
half adder, and design the circuit using only two gates. Then design a circuit which will find the
2's complement of a 4-bit binary number. Use four half adders and any additional gates. (Hint:
Recall that one way to find the 2's complement of a binary number is to complement all bits,
and then add 1.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc72a128-e6e6-4510-96de-9108b6c3b06c%2F41db7b15-f76c-469e-911b-41996a92b9a7%2F3yyhr3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 3:
a) Design a circuit which will add a 4-bit binary number to a 5-bit binary number. Use five full
adders. Assume negative numbers are represented in 2's complement. (Hint: How do you make
a 4-bit binary number into a 5-bit binary number, without making a negative number positive or
a positive number negative?)
b) A half adder is a circuit that adds two bits to give a sum and a carry. Give the truth table for a
half adder, and design the circuit using only two gates. Then design a circuit which will find the
2's complement of a 4-bit binary number. Use four half adders and any additional gates. (Hint:
Recall that one way to find the 2's complement of a binary number is to complement all bits,
and then add 1.)
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