INTRO.TO COMPUTING SYSTEMS >INTL.ED.<
INTRO.TO COMPUTING SYSTEMS >INTL.ED.<
3rd Edition
ISBN: 9781260565911
Author: PATT
Publisher: MCG
Question
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Chapter 2, Problem 30E

a.

Program Plan Intro

AND function:

  • AND function needs two inputs and produces one output.
  • It is also known as binary logical function.
  • If either of the inputs or both the inputs are “0”, then one-bit AND operation produces the output as “0”.
  • If both inputs are “1”, then AND operation produces the output as “1”.
  • The following diagram depicts the AND operation,

INTRO.TO COMPUTING SYSTEMS >INTL.ED.<, Chapter 2, Problem 30E

b.

Explanation of Solution

101 AND 110:

The truth table for AND operation is as follows,

XYX AND Y
000
010
100
111

Explanation for the truth table:

  • In the above table, “X” and “Y” are inputs, and “Z” is output.
  • When “X=0”, and “Y=0”, the output is “0”, because both the inputs “X” and “Y” contains the value “0”.
  • When “X=0”, and “Y=1”, the output is “0”, because one of the input “X” contains the value “0”.
  • When “X=1”, and “Y=0”, the output is “0”, because one of the input “Y” contains the value “0”...

c.

Explanation of Solution

11100000 AND 10110100:

The truth table for AND operation is as follows,

XYX AND Y
000
010
100
111

Explanation for the truth table:

  • In the above table, “X” and “Y” are inputs, and “Z” is output.
  • When “X=0”, and “Y=0”, the output is “0”, because both the inputs “X” and “Y” contains the value “0”.
  • When “X=0”, and “Y=1”, the output is “0”, because one of the input “X” contains the value “0”.
  • When “X=1”, and “Y=0”, the output is “0”, because one of the input “Y” contains the value “0”...

d.

Explanation of Solution

00011111 AND 10110100:

The truth table for AND operation is as follows,

XYX AND Y
000
010
100
111

Explanation for the truth table:

  • In the above table, “X” and “Y” are inputs, and “Z” is output.
  • When “X=0”, and “Y=0”, the output is “0”, because both the inputs “X” and “Y” contains the value “0”.
  • When “X=0”, and “Y=1”, the output is “0”, because one of the input “X” contains the value “0”.
  • When “X=1”, and “Y=0”, the output is “0”, because one of the input “Y” contains the value “0”...

e.

Explanation of Solution

(0011 AND 0110) AND 1101:

The truth table for AND operation is as follows,

XYX AND Y
000
010
100
111

Explanation for the truth table:

  • In the above table, “X” and “Y” are inputs, and “Z” is output.
  • When “X=0”, and “Y=0”, the output is “0”, because both the inputs “X” and “Y” contains the value “0”.
  • When “X=0”, and “Y=1”, the output is “0”, because one of the input “X” contains the value “0”.
  • When “X=1”, and “Y=0”, the output is “0”, because one of the input “Y” contains the value “0”.
  • When “X=1”, and “Y=1”, the output is “1”, because both the inputs “X” and “Y” contains the value “1”...

f.

Explanation of Solution

0011 AND (0110 AND 1101):

The truth table for AND operation is as follows,

XYX AND Y
000
010
100
111

Explanation for the truth table:

  • In the above table, “X” and “Y” are inputs, and “Z” is output.
  • When “X=0”, and “Y=0”, the output is “0”, because both the inputs “X” and “Y” contains the value “0”.
  • When “X=0”, and “Y=1”, the output is “0”, because one of the input “X” contains the value “0”.
  • When “X=1”, and “Y=0”, the output is “0”, because one of the input “Y” contains the value “0”.
  • When “X=1”, and “Y=1”, the output is “1”, because both the inputs “X” and “Y” contains the value “1”...

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⚫ your circuit diagrams for your basic bricks, such as AND, OR, XOR gates and 1 bit multiplexers, ⚫ your circuit diagrams for your extended full adder, designed in Section 1 and ⚫ your circuit diagrams for your 8-bit arithmetical-logical unit, designed in Section 2. 1 An Extended Full Adder In this Section, we are going to design an extended full adder circuit (EFA). That EFA takes 6 one bit inputs: aj, bj, Cin, Tin, t₁ and to. Depending on the four possible combinations of values on t₁ and to, the EFA produces 3 one bit outputs: sj, Cout and rout. The EFA can be specified in principle by a truth table with 26 = 64 entries and 3 outputs. However, as the EFA ignores certain inputs in certain cases, it is easier to work with the following overview specification, depending only on t₁ and to in the first place: t₁ to Description 00 Output Relationship Ignored Inputs Addition Mode 2 Coutsjaj + bj + Cin, Tout= 0 Tin 0 1 Shift Left Mode Sj = Cin, Cout=bj, rout = 0 rin, aj 10 1 1 Shift Right…
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