ALU 101 Binary Number Systems 2

Question 1

What is 1101 + 0110 in binary?

Accepted Answer

10011

Answer

1101 + 0110 = 10011 in binary (carry propagates to produce a 5-bit result of 19).

Question 2

The one's complement of binary 10110 is:

Accepted Answer

01001

Answer

One's complement is obtained by inverting every bit: 10110 → 01001.

Question 3

In an 8-bit signed two's complement system, what is the range of representable integers?

Accepted Answer

-128 to 127

Answer

An 8-bit two's complement number can represent values from −128 (10000000) to +127 (01111111).

Question 4

Converting decimal 45 to binary gives:

Accepted Answer

101101

Answer

45 ÷ 2 repeated gives remainders 1,0,1,1,0,1 (reading bottom-up) = 101101.

Question 5

What does BCD stand for in digital number representation?

Accepted Answer

Binary Coded Decimal

Answer

BCD stands for Binary Coded Decimal, where each decimal digit is represented by a 4-bit binary group.

ALU 101 - Arithmetic Logic Unit 101 Exam Practice Test