Homework Answers
15 NAND gates are required to implement 1-bit full adder
=> for operating 128-bits of input, we need 128 1-bit full adders
=> 128 * 15 NAND gates
= 1920 NAND gates (1 - to implement 128-bit full adder)
The above circuit will only perform addition operation. In order to support subtraction operation, we need to supply 2's complement of the input as an input to the full adder.
=> the second input has to be complemented for performing subtraction => need to use XOR gate
a mode input, M is used to distinguish between addition and subtraction operation.
if M = 0 => M XOR B => 0 XOR B => B
if M = 1 => M XOR B => 1 XOR B => B'
XOR gate again has to be implemented using 2-input NAND gates. It takes 4 NAND gates to implement one XOR gate
=> 128 * 4 NAND gates
=> 512 NAND gates (2- to implement 2's complement of second input, B)
Overflow is detected by performing XOR operation on Carry out of 126th full adder, CO127 with Carry out of 127th full adder, CO128
=> required 4 NAND gates to implement one XOR gate
=> 4 NAND gates (3 - to detect overflow)
Minimum number of NAND gates required to implement 128-bit combined addition/ subtraction circuit with overflow detection = 1920 + 512 + 4
= 2436 NAND gates
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Build a 4 bit half adder only using nand gates. *logic diagram*
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Verify that your design can be represented by the circuit below. 120 Full-Adder circuit Many of...
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Using single bit Full Adder (FA) blocks (as shown below) and required gates, construct a 6-bit...
Using single bit Full Adder (FA) blocks (as shown below) and
required gates, construct a 6-bit Adder/Subtractor for signed
numbers.
Use the signed two’s complement system for the signed
numbers.
Verify your design for the following addition and subtraction by
specifying A as A5A4A3A2A1A0 and B as B5B6B3B2B1B0, determining the
inputs to the FAs and their outputs and showing that the outputs
correspond to the correct results:
a) A-B with A = -13, B = +20 (5 points)
b) A+B...
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3. Digital circuits question. The figure below shows a 16-b carry-skip adder. It is composed of...
3. Digital circuits question.
The figure below shows a 16-b carry-skip adder. It is composed of 4 4-bit ripple carry adders and some extra logic to route the carry. Each 4bit ripple carry adder generates a group propagate signal. This is used to determine when the carry-in is going to be propagated all the way to the carry-out. When this is the case, addition is sped up by allowing the carry-in to skip the block and become the carry-in of...
First you must create a logic circuit using only basic gates such as AND, OR, NOR,...
First you must create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement an ADDER capable of adding two 4 bit binary numbers. Second you must create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement a Subtractor that is capable of subtracting the second number from the first, by converting the second number into its 2's complement form and then adding the resulting...
For each of the following show the logic circuit with only NAND gates and also show...
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number 4 and 5 please! PROBLEM STATEMENT A logic circuit is needed to add multi-bit binary...
number 4 and 5 please!
PROBLEM STATEMENT A logic circuit is needed to add multi-bit binary numbers. A 2-level circuit that would add two four-bit numbers would have 9 inputs and five outputs. Although a 2-level SOP or POS circuit theoretically would be very fast, it has numerous drawbacks that make it impractical. The design would be very complex in terms of the number of logic gates. The number of inputs for each gate would challenge target technologies. Testing would...
Incorrect Question 19 0/0.25 pts How many NAND gates are needed to construct "overflow detection circuit" for a ripple carry adder/ subtractor combined circuit? Assume you are allowed to use only NAND gate in this circuit. 41
Verify that your design can be represented by the circuit below. 120 Full-Adder circuit Many of the logic gates you require may not exist in standard TTL/CMOS 74 series family of logic. For example in future designs you may require a 50 input OR gate. The 74 series does not have a 50 input OR gate. For your 1 bit adder you will have the following devices: 1 quad 2 IP NAND, 1 TRIPLE 3 IP NAND, 7400 7410 7404...
Using single bit Full Adder (FA) blocks (as shown below) and
required gates, construct a 6-bit Adder/Subtractor for signed
numbers.
Use the signed two’s complement system for the signed
numbers.
Verify your design for the following addition and subtraction by
specifying A as A5A4A3A2A1A0 and B as B5B6B3B2B1B0, determining the
inputs to the FAs and their outputs and showing that the outputs
correspond to the correct results:
a) A-B with A = -13, B = +20 (5 points)
b) A+B...
Tim Question 1 Atte 20 pts 2H 24 Design a 1-bit Full Adder using NOR gates only, you must include and show: Truth tables, detail logic gate circuit designs, and Boolean expressions Upload Choose a File 20 pts Question 2 Design a 4-bit Full Adder with inputs (Xo...X3, Yo...Y3) in which inputs X are connect to two 4-bit registers via four 2-to-1 Multiplexers and inputs Y are connected to two other 4-bit registers via four 2-to-1 Multiplexers. In this case...
3. Digital circuits question.
The figure below shows a 16-b carry-skip adder. It is composed of 4 4-bit ripple carry adders and some extra logic to route the carry. Each 4bit ripple carry adder generates a group propagate signal. This is used to determine when the carry-in is going to be propagated all the way to the carry-out. When this is the case, addition is sped up by allowing the carry-in to skip the block and become the carry-in of...
number 4 and 5 please!
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