Question

A 6-bit codeword is represented as 3A in hexadecimal format. Give its numerical value in:

(i) binary natural number (BNN) code
(ii) two's complement code
(iii) signed magnitude code
(iv) offset code with bias +31

Answer 1

The 6-bit codeword 3A in hexadecimal format can be converted to binary in different encoding schemes.

Step-by-step explanation:

The 6-bit codeword 3A in hexadecimal format can be converted to various numerical values in different encoding schemes:

(i) In binary natural number (BNN) code, the codeword 3A is represented as 111010 in binary.

(ii) In two's complement code, the codeword 3A is represented as 1101110 in binary since the most significant bit is a 1, indicating a negative number.

(iii) In signed magnitude code, the codeword 3A is represented as 1110110 in binary, with the most significant bit signifying the sign.

(iv) In offset code with bias +31, the codeword 3A subtracted by the bias (+31) is equal to 43, which can then be represented as 101011 in binary.