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DEchapter7

True/False
Indicate whether the statement is true or false.
 

 1. 
Digital arithmetic usually means binary arithmetic.
 

 2. 
An unsigned binary number is a binary number of fixed length whose sign is represented by one bit, usually the most significant bit, and whose magnitude is represented by the remaining bits.
 

 3. 
Carry bit is a digit brought back from a more significant position when the subtrahend digit is larger than the minuend digit.
 

 4. 
When adding two 1-bit binary numbers in a logic circuit, the result always consists of a sum bit and a carry bit, even when the carry is 0.
 

 5. 
The result of a subtraction operation is called the solution.
 

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 6. 
_______ is a form of signed binary number whose magnitude is represented in true binary.
a.
Sign extension
c.
True-magnitude form
b.
Hierarchical design
d.
Parallel binary adder
 

 7. 
In the expression x + y = z, x and y are the ______.
a.
augends
c.
addends
b.
operands
d.
sum bits
 

 8. 
In the decimal addition 9 + 6 = 15, the 6 is the ______.
a.
carry bit
c.
addend
b.
sum bit
d.
augend
 

 9. 
______ is a form of signed binary notation in which negative numbers are created by adding 1 to the 1’s complement form of the number.
a.
1’s complement
c.
Signed binary arithmetic
b.
2’s complement
d.
Binary-coded decimal
 

 10. 
A bit that holds the value of a carry (0 or 1) resulting from the sum of two binary numbers is a(n):
a.
carry bit
c.
2-bit binary
b.
operand
d.
sum bit
 

 11. 
American Standard Code for Information Interchange is a  ______ code for representing alphanumeric and control characters.
a.
4- or 5-bit
c.
5- or 6-bit
b.
9- or 10-bit
d.
7- or 8-bit
 

 12. 
There is/are only _____ possible sum(s) of two 1-bit binary numbers.
a.
two
c.
four
b.
one
d.
three
 

 13. 
An operation in 1’s complement subtraction where the carry bit resulting from a sum of two 1’s complement numbers is added to that sum is a(n):
a.
end-around carry
c.
overflow
b.
carry bit
d.
case shift
 

 14. 
A _______ is a circuit that will add two bits and produce a sum bit and a carry bit.
a.
subtractor circuit
c.
subcircuit
b.
logic gate circuit
d.
half adder
 

 15. 
In addition to _______, binary numbers can be used in a variety of nonpositional number codes, which can represent numbers, letters, and computer control codes.
a.
sign extensions
c.
alphanumeric codes
b.
magnitude bits
d.
positional number systems
 

 16. 
To connect an output of one device to an input of another, often for the purpose of expanding the number of bits available for a particular function, is called ______.
a.
minuend
c.
addend
b.
subtrahend
d.
cascade
 

 17. 
______ is a form of signed binary notation in which negative numbers are created by complementing all bits of a number, including the sign bit.
a.
True-magnitude form
c.
Signed binary arithmetic
b.
The 8421 code
d.
1’s complement
 

 18. 
A(n) _______ is a circuit, consisting of n full adders, that will add two n-bit binary numbers; the output consists of n sum bits and a carry bit.
a.
end-around carry
c.
half adder
b.
parallel binary adder
d.
subcircuit
 

 19. 
______ is the process of fitting a number into a fixed size of 2’s complement number by padding the number with leading 0s for a positive number and leading 1s for a negative number.
a.
Overflow
c.
Borrow
b.
Carry bit
d.
Sign extension
 

 20. 
Signed addition of ______ is performed in the same way as unsigned addition.
a.
binary arithmetic
c.
positive numbers
b.
binary coded decimals
d.
ranges of numbers
 



 
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