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Digital Arithmetic Operations and Circuits
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When decimal numbers with several digits are to be added together using BCD adders ________
a separated BCD adder is required for each digit position
the BCD adders must have the carry-outs grounded
full adders are also used
the BCD's must be grouped in twos
When multiplying 13 × 11 in binary, what is the third partial product
100000
100001
1011
00000000
Which of the following is the primary advantage of using binary-coded decimal
(BCD) instead of straight binary coding
BCD codes are easily converted to straight binary codes.
the relative ease of converting to and from decimal
Fewer bits are required to represent a decimal number with the BCD code.
BCD codes are easily converted from decimal.
Add the following hex numbers: 011016 + 1001016
1112016
0012016
1002016
1012016
A four-bit adder can perform ________
All of the above
Addition
Logical AND
Subtraction
Find the 2's complement of –1101102
1101002
0010102
0010012
1010102
Solve this binary problem: 01000110 ÷ 00001010 =
0111
1001
10011
0011
Convert each of the decimal numbers to 8-bit two's-complement form and then perform subtraction by taking the two's-complement and adding
0010 1110
1110 0000
0001 0011
0000 1110
An input to the mode pin of an arithmetic/logic unit
(ALU) determines if the function will be
one's-complemented
positive or negative
arithmetic or logic
with or without carry
What is the first thing you will need if you are going to use a macrofunction
A complicated design project
An experienced design engineer
Good documentation
Experience in HDL
The contents of the A register after is ________
1001
0000
0001
1010
What is the major difference between half-adders and full-adders
Full adders can handle double-digit numbers.
Nothing basically; full-adders are made up of two half-adders.
Half adders can handle only single-digit numbers.
Full adders have a carry input capability.
The concurrent section of the hardware description is where the ________ are interconnected
macrofunctions
functions
circuits
Components
Solve this binary problem: 01011000 ÷ 00001011 = ________
0110
1000
1110
1010
The binary adder circuit is designed to add ________ binary numbers at the same time
8
2
6
4
Solve this binary problem: 01110010 – 01001000 =
00011010
00111100
01110010
00101010
Solve this binary problem: 1001 × 1100 = ________
01111000
01101100
01101110
01110001
Divide the following binary numbers
0000 0010 0001 0010 0000 0100
0000 0010 0000 0010 0000 0100
0000 0010 0000 0010 1000 1111
0000 0011 0000 0010 0000 0100
Solving –11 + (–2) will yield which two's-complement answer
1111 1001
1110 1001
1111 0011
1110 1101
In VHDL, the architecture declaration always begins with the ________ of variable signals or components that will be used in the concurrent description between BEGIN and END
Declarations
TYPE
Vectors
functions
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