INTRO.TO COMPUTING SYSTEMS >INTL.ED.<
INTRO.TO COMPUTING SYSTEMS >INTL.ED.<
3rd Edition
ISBN: 9781260565911
Author: PATT
Publisher: MCG
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Chapter 2, Problem 17E

a.

Explanation of Solution

01 + 1011:

  • Express the given numbers with the same number of bits.
  • Addition of leading 0’s do not affect the result.
  • The process of addition can perform on “1” digit at a time from right to left.
  • A sum digit and a carry digit are generated at each point.
  • It the user adds “1” and “1”, it generates the sum digit “0” and carry digit “1”.
  • The given 2-bit  binary number “01” is extended to 4-bit binary number as “0001”
  • The addition of the binary numbers is as follows,

b.

Explanation of Solution

11 + 01010101:

  • Express the given numbers with the same number of bits.
  • The sign of the integer is indicated by the Left most Significant Bit (LSB).
  • The number is positive if LSB is “0”, and the number is negative if LSB is “1”.
  • The binary number “11” is negative and it is extended by leading 1’s.
  • The result does not affected by leading 1’s.
  • The process of addition can perform on “1” digit at a time from right to left.
  • A sum digit and a carry digit are generated at each point.
  • It the user adds “1” and “1”, it generates the sum digit “0” and carry digit “1”.
  • It the user adds “1” and “0”, it generates the sum digit “1” and carry digit “0”...

c.

Explanation of Solution

0101 + 110:

  • Express the given numbers with the same number of bits.
  • The sign of the integer is indicated by the Left most Significant Bit (LSB).
  • The number is positive if LSB is “0”, and the number is negative if LSB is “1”.
  • The binary number “110” is negative and it is extended by leading 1’s.
  • The result does not affected by leading 1’s.
  • The process of addition can perform on “1” digit at a time from right to left.
  • A sum digit and a carry digit are generated at each point.
  • It the user adds “1” and “1”, it generates the sum digit “0” and carry digit “1”.
  • It the user adds “1” and “0”, it generates the sum digit “1” and carry digit “0”...

d.

Explanation of Solution

01 + 10:

  • The given binary numbers have the same number of bits.
  • The sign of the integer is indicated by the Left most Significant Bit (LSB).
  • The number is positive if LSB is “0”, and the number is negative if LSB is “1”.
  • The process of addition can perform on “1” digit at a time from right to left.
  • A sum digit and a carry digit are generated at each point.
  • It the user adds “1” and “1”, it generates the sum digit “0” and carry digit “1”.
  • It the user adds “1” and “0”, it generates the sum digit “1” and carry digit “0”...

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make corrections of this program based on the errors shown. this is CIS 227 .
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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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