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Q: Full adder using 8 to 1 multiplexers?
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Construct BCD to excess3 code using full adder circuit?

4 full adders will be used BCD is a 4 bit code. Each bit of the BCD number will be an input of each full adder. input 1 in first FA. 1 in second and 0 in the last to FA's


Is it possible to make circuit with only multiplexers?

Yes. Any basic gate's Boolean expression can be implemented using a 2:1 multiplexer and hence any combinational circuit can be implemented using only multiplexers.


What is VHDL program for 64 to 1 multiplexer using four 4 to 1 multiplexers?

Personally describing VHDL code for multiplexer can be quite difficult without prior knowledge. It takes many VHDLs to be a multiplexer.


How many half adder to make full adder?

binary addition of two bits is called a half adder ,and of three bits is called a full adder to be more lucid in my explanation a half adder doesnot consider a carry generated from the previous added pair of binary numbers consider an example :- A=a1a2a3a4 + B=b1b2b3b4 = sum=s1s2s3s4 the actual addition procedure is a4 and b4 are added first then the sum is stored in s4 and the generated carry is added with a3 and b3 and the process continues so addition of a4 and b4 where there is no input carry is carried out by half adder and the addition of c1+a3+b3 is carried out by full adder. but practiclly the first situation a4+b4 can be considered as a4+b4+0 so all the addition can be performed by full adder it self truth table for both half adder A B s c 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 for full adder c1 A B s c 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 where s and c can be viewed as the sum and carry on solving the k-map for full adder and half adder we can obtain the fuctions of sum and carry


How can you draw a 4 bit full adder using 1 bit full adder?

The 1 bit full adder has three inputs, A, B, and CarryIn. It has two outputs, Result and CarryOut. To connect multiple 1 bit full adders together, bus the A and B inputs into their respective buses, bus the Result outputs into its bus, connect the low order bit's CarryIn to LogicFalse, and daisy chain each bit's CarryOut into the next bit's CarryIn. Use the last bit's CarryOut as overall CarryOut.


How to draw the logic circuit for full adder using half adder?

asdfghjkl;' s-sum and c'-carry see for half adder s=a(xor)b and c'=ab for full adder s=a(xor)b(xor)c and c=ab+bc+ac or ab+c(a(xor)b) we can convert two half adder to full adder with help of and or gate. . . ! we got two half adder * for first half adder input is a and b therefore. . .s=a(xor)b and c'=ab * for second half adder input is a(xor)b and c therefore. . .s=a(xor)b(xor)c and c' is (a(xor)b)c note: now connect the c' of first half adder and second half adder to 'or' gate resulting is ab+c(a(xor)b)


How many full adders are required to construct an m bit parallel adder?

M+1 full adders


Advantages of fast adder over parallel binary adder?

serial adder: 1) Slower 2) It uses shift registers 3) IT requires one full adder circuit. 4) It is sequential circuit. 5) Time required for addition depends on number of bits. Parallel adder: 1) Faster 2) It uses registers with parallel load capacity 3) No. of full adder circuit is equal to no. of bits in binary adder. 4)It is a combinational circuit 5)Time required does not depend on the number of bits


How many 4-to-1 multiplexers are required to build a 16-to-1?

5


How do you use bitwise operators to calculate 15 plus 7?

Normally you wouldn't, you'd simply use the built-in addition operator (+): x = 15 + 7; // e.g., x = 22 However, behind the scenes, the computer uses bitwise operations to determine the sum and it is presumed the question relates to how this is actually achieved. In other words, how can we emulate these machine-level operations in code? We start with a half-adder. A half-adder has two input bits, the two bits being summed (denoted A and B), and two output bits, the sum bit and the carry-out bit (denoted S and Cout). The half-adder truth table looks like this: A + B = S, Cout 0 + 0 = 0, 0 0 + 1 = 1, 0 1 + 0 = 1, 0 1 + 1 = 0, 1 The sum bit is determined using a XOR gate (A XOR B) while the carry-out bit is determined using an AND gate (A AND B). By itself, a half-adder only works for the least-significant bit of a sum (it is just a 1-bit adder after all). To sum multi-bit values we need to implement a full-adder for each bit in the sum. A full-adder is more difficult to implement than a half-adder because it has three inputs rather than just two. One of the inputs is the carry-in bit (denoted Cin), which is actually the Cout bit from the full-adder for the next least-significant bit. Thus to sum two multi-bit values we use a cascade of full-adders, one for each bit in the sum, where the Cout from one full-adder becomes the Cin for the next. A full-adder has the following truth table: Cin + A + B = S, Cout 0 + 0 + 0 = 0, 0 0 + 0 + 1 = 1, 0 0 + 1 + 0 = 1, 0 0 + 1 + 1 = 0, 1 1 + 0 + 0 = 1, 0 1 + 0 + 1 = 0, 1 1 + 1 + 0 = 0, 1 1 + 1 + 1 = 1, 1 A full-adder is implemented using two half-adders joined by an OR gate. Input bits A and B pass through the first half-adder to produce a partial sum. The SUM bit of that half-adder then passes through the second half-adder along with the Cin bit to produce the final SUM bit of the full-adder. Meanwhile, the Cout bits from both half-adders pass through an OR gate to determine the Cout bit of the full-adder. That is, if the Cout bit is set by either of the half-adders, then the Cout must also be set for the full-adder. Going back to the original example, the sum of 15 and 7, we proceed as follows: 15 + 7 in binary is 00001111 + 00000111 We start at bit 0 (least-significant bit) and pass the inputs through a cascade of full-adders, passing the Cout bit from one full-adder through the Cin to the next: Cin + A + B = S, Cout 0 + 1 + 1 = 0, 1 1 + 1 + 1 = 1, 1 1 + 1 + 1 = 1, 1 1 + 1 + 0 = 0, 1 1 + 0 + 0 = 1, 0 0 + 0 + 0 = 0, 0 0 + 0 + 0 = 0, 0 0 + 0 + 0 = 0, 0 Reading the S column upwards we find the sum is 00010110 which is 22 decimal. Note that if the Cout of the final-adder is set, the sum has overflowed To emulate these machine-level operations in C++, we first need to create a class to hold the two output bits: struct output { unsigned sum; unsigned cout; }; Note that an unsigned data type will occupy more than one bit, however the only valid values will be 0 or 1. Implementing this as a class would make it easier to maintain this invariant, however we'll use a simple data structure for the sake of brevity. To implement the half-adder, we use the following code: output half_adder (unsigned a, unsigned b) { // both inputs must be in the range [0:1] return output {a^b, a&b}; } To implement the full-adder, we use the following code: output full-adder (unsigned cin, unsigned a, unsigned b) { // all inputs must all be in the range [0:1] output one {half_adder (a, b)}; output two {half_adder (one.sum, cin)}; return output {two.sum, one.cout | two.cout}; } To add two 8-bit values using the full-adder, we use the following code: unsigned sum_8bit (unsigned a, unsigned b} { unsigned sum=0; output out {0, 0}; for (unsigned i=0; i<8; ++i) { out=full_adder (out.cout, a&1, b&1); sum|=(out.sum<<i); a>>=1; b>>=1; } if (out.cout) throw std::range_error {"sum_8bit(): out of range"}; return sum; } We can test the code with a simple assertion: int main() { assert (sum (15, 7)==22); return 0; }


How does a half adder work?

A full adder has three inputs - A, B, and CarryIn from the prior stage. It generates a Result and a Carryout with the truth table... ABC-RC 000-00 001-10 010-10 011-01 100-10 101-01 110-01 111-11 The adder can be a ripple adder, in which the propogation delay depends on the carry "rippling" through the logic, or it can be a look-ahead-carry type, which has constant propagation delay time, at the expense of more logic.


Difference between adder and parallel adder?

1.serial adder add bits serially but parallel adder add bits at the same time . 2.serial adder depends on previous outputs but parallel adder does not depends on previous outputs . 3.parallel adder takes less time to execute compared to serial adder.