Chapter#1: Introductory Concepts, Number System, Operations and Codes

All exercise S.Qs of Introductory Concepts, Number System, Operations and Codes of Digital Electronics. We have gathered all S.Qs for BS/MSc Physics.

Q.1 Express the decimal number -39 as an 8-bit number in the sign magnitude, 1’s complement, 2’s complement forms.

Q.2 Determine the decimal value of this signed binary number expressed in sign-magnitude: 10010101.

Q.3 Determine the decimal values of the signed binary numbers expressed in 1’s complement:

(a) 00010111        (b) 11101000

Q.4 Determine the decimal values of the signed numbers expressed in 2’s complement:

(a) 01010110        (b) 10101010

Q.5 Add the signed numbers: 01000100, 00011011, 00001110, and 00010010.

Q.6 Perform each of the following subtractions of the signed numbers:

(a) 00001000-00000011            (b) 00001100-11110111

(c) 11100111-00010011             (d) 10001000-11100010

Q.7 Convert the following binary number to hexadecimal:

(a) 1100101001010111            (b) 111111000101101001

Q.8 Determine the binary number for the following hexadecimal numbers:

(a) 10A4₁₆   (b) CF8E₁₆    (c) 9742₁₆

Q.9 (a) Convert the binary number 11000110 to Gray code.

       (b) Convert the Gray code 10101111 to binary.

Q.10 What decimal numbers are represented by each BCD code?

(a) 10001001        (b) 001001111000         (c) 000101010111