Digital Arithmetic Operations and Circuits MCQs

Question 1

The 2's-complement system is to be used to add the signed binary numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

Accepted Answer

–14 and –13, –27

Answer

–113 and –114, –227

Answer

–11 and –16, –27

Answer

–27 and –13, –40

Question 2

The most commonly used system for representing signed binary numbers is the:

Accepted Answer

2's-complement system.

Answer

1's-complement system.

Answer

10's-complement system.

Answer

sign-magnitude system.

Question 3

What is the major difference between half-adders and full-adders?

Accepted Answer

Full adders have a carry input capability.

Answer

Nothing basically; full-adders are made up of two half-adders.

Answer

Full adders can handle double-digit numbers.

Answer

Half adders can handle only single-digit numbers.

Question 4

The decimal value for E16 is:

Accepted Answer

1410

Answer

1210

Answer

1310

Answer

1510

Question 5

Fast-look-ahead carry circuits found in most 4-bit full-adder circuits:

Accepted Answer

reduce propagation delay

Answer

determine sign and magnitude

Answer

add a 1 to complemented inputs

Answer

increase ripple delay

Question 6

Add the following hex numbers: 011016 + 1001016

Accepted Answer

1012016

Answer

1002016

Answer

1112016

Answer

0012016

Question 7

The binary subtraction 0 – 0 =

Accepted Answer

difference = 0 borrow = 0

Answer

difference = 1 borrow = 0

Answer

difference = 1 borrow = 1

Answer

difference = 0 borrow = 1

Question 8

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

Accepted Answer

110101

Answer

111010

Answer

110110

Answer

101011

Question 9

Convert each of the following signed binary numbers (two's-complement) to a signed decimal number. 00000101 11111100 11111000

Accepted Answer

+5 –4 –8

Answer

–5 +4 +8

Answer

–5 +252 +248

Answer

+5 –252 –248