Arithmetic Operations and Circuits

Q1: When 1100010 is divided by 0101, what will be the decimal remainder?

A
2

B
3

C
4

D
6

Q2: The range of an 8-bit two's complement word is from:

A
+12810 to –12810

B
–12810 to +12710

C
+12810 to –12710

D
+12710 to –12710

Q3: Adding in binary, the decimal values 26 + 27 will produce a sum of:

A
111010

B
110110

C
110101

D
101011

Q4: Use the two's complement system to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

A
–14 and –13; –27

B
–113 and –114; 227

C
–27 and –13; 40

D
–11 and –16; –27

Q5: How many basic binary subtraction combinations are possible?

A
4

B
3

C
2

D
1

Q6: When multiplying in binary the decimal values 13 × 11, what is the third partial product?

A
100000

B
100001

C
0000

D
1011

Q7: Binary subtraction of a decimal 15 from 43 will utilize which two's complement?

A
101011

B
110000

C
011100

D
110001

Q8: What are the two types of basic adder circuits?

A
half adder and full adder

B
half adder and parallel adder

C
asynchronous and synchronous

D
one's complement and two's complement

Q9: The selector inputs to an arithmetic-logic unit (ALU) determine the:

A
selection of the IC

B
arithmetic or logic function

C
data word selection

D
clock frequency to be used

Q10: The fast carry or look-ahead carry circuits found in most 4-bit parallel-adder circuits:

A
increase ripple delay

B
add a 1 to complemented inputs

C
reduce propagation delay

D
determine sign and magnitude

Q11: Adding the two's complement of –11 + (–2) will yield which two's complement answer?

A
1110 1101

B
1111 1001

C
1111 0011

D
1110 1001

Q12: How many basic binary subtraction operations are possible?

A
4

B
3

C
2

D
1

Q13: The two's complement system is to be used to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

A
–14 and –13; –27

B
–113 and –114; 227

C
–27 and –13; 40

D
–11 and –16; –27

Q14: When 1100010 is divided by 0101, what will be the decimal remainder?

A
2

B
3

C
4

D
6


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