This process is known as cascading. Notice that, in this case, the output carry is designated Cg because it is generated from the eighth bit position. The low-order adder is the one that adds the lower or less significant four bits in the numbers, and the high-order adder is the one that adds the higher or more significant four bits in the 8-bit numbers. Similarly, four 4-bit adders can be cascaded to handle two 16-bit numbers. Bg B, B3 B3 Ag A, Ag As B, B, B, B A A3 A, A Co 4 3 2 1 4 3 2 1 G 4 3 2 4 3 2 1 Cn B A Cqut 4 3 2 Cat 4 3 2 1 E E, Eg Es Σ, Σ Σ. Σ Cascading of two 4-bit adders to form an 8-bit adder. DISCUSSION Q.1Show that the output carry in a full adder circuit can be expressed as. Q.2What do you understand by Parallel Adder ? Q.3What is the. No. IC for parallel Adder ? Q.4How many bits can be added by 7483 Q.5 The inputs to a full adder are A 1, B 0, Cin = 1. The outputs are ( a) Σ-0, Cou1 (b) Σ = 1, Cou-0 (C)Σ-0, Cou-0 (d) Σ-1, Cout 1 Q.6 What A 3-bit parallel adder can add? Q.7 The following sequences of bits (right-most bit first) appear on the inputs to a 4-bit parallel adder. Determine the resulting sequence of bits on each sum output. Al 1010 A2 1100 A3 0101 A4 1101 s olve 3 and 4 B1 1001 B2 1011 B3 0000 B4 0001
This process is known as cascading. Notice that, in this case, the output carry is designated Cg because it is generated from the eighth bit position. The low-order adder is the one that adds the lower or less significant four bits in the numbers, and the high-order adder is the one that adds the higher or more significant four bits in the 8-bit numbers. Similarly, four 4-bit adders can be cascaded to handle two 16-bit numbers. Bg B, B3 B3 Ag A, Ag As B, B, B, B A A3 A, A Co 4 3 2 1 4 3 2 1 G 4 3 2 4 3 2 1 Cn B A Cqut 4 3 2 Cat 4 3 2 1 E E, Eg Es Σ, Σ Σ. Σ Cascading of two 4-bit adders to form an 8-bit adder. DISCUSSION Q.1Show that the output carry in a full adder circuit can be expressed as. Q.2What do you understand by Parallel Adder ? Q.3What is the. No. IC for parallel Adder ? Q.4How many bits can be added by 7483 Q.5 The inputs to a full adder are A 1, B 0, Cin = 1. The outputs are ( a) Σ-0, Cou1 (b) Σ = 1, Cou-0 (C)Σ-0, Cou-0 (d) Σ-1, Cout 1 Q.6 What A 3-bit parallel adder can add? Q.7 The following sequences of bits (right-most bit first) appear on the inputs to a 4-bit parallel adder. Determine the resulting sequence of bits on each sum output. Al 1010 A2 1100 A3 0101 A4 1101 s olve 3 and 4 B1 1001 B2 1011 B3 0000 B4 0001
Chapter8: Electromagnetism And Em Waves
Section: Chapter Questions
Problem 14Q
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Transcribed Image Text:This process is known as cascading. Notice that, in this case, the output carry is
designated Cg because it is generated from the eighth bit position. The low-order adder is
the one that adds the lower or less significant four bits in the numbers, and the high-order
adder is the one that adds the higher or more significant four bits in the 8-bit numbers.
Similarly, four 4-bit adders can be cascaded to handle two 16-bit numbers.
Bg B, B3 B3 Ag A, Ag As
B, B, B, B A A3 A, A
Co
4 3 2 1 4 3 2 1 G
4 3 2
4 3 2 1 Cn
B
A
Cqut
4 3 2
Cat
4 3 2 1
E E, Eg Es
Σ, Σ Σ. Σ
Cascading of two 4-bit adders to form an 8-bit adder.
DISCUSSION
Q.1Show that the output carry in a full adder circuit can be expressed as.
Q.2What do you understand by Parallel Adder ?
Q.3What is the. No. IC for parallel Adder ?
Q.4How many bits can be added by 7483
Q.5 The inputs to a full adder are A 1, B 0, Cin = 1. The outputs are
( a) Σ-0, Cou1 (b) Σ = 1, Cou-0
(C)Σ-0, Cou-0 (d) Σ-1, Cout 1
Q.6 What A 3-bit parallel adder can add?
Q.7 The following sequences of bits (right-most bit first) appear on the inputs to a 4-bit
parallel adder. Determine the resulting sequence of bits on each sum output.
Al 1010
A2 1100
A3 0101
A4 1101
s olve 3 and 4
B1 1001
B2 1011
B3 0000
B4 0001
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